➡10:33 skip to puzzle of thumbnail preview. (Sorry for any annoyance. Next time I will put the thumbnail puzzle first and see how UA-cam algorithm gods respond)
Puzzle 3 is a puzzle I’ve been wanting to send you for years but felt it was too simple and you wouldn’t show it. A teacher of mine gave me puzzles like all of the time in 7th grade. And as far as I remember, the largest number will never be above 3.
Do not listen to haters, I think it’s perfectly fine to address the thumbnail at the end. It’s a “harder” puzzle by any calculation, worth it to go through the others before getting to that one
10:16 Puzzle 5. In order to maintain the "same shape of the cup," The same two matches are moved ( as suggested in the first "proposed" solution), with the vertical match being placed as shown. However, the horizontal match needs to be placed in its new position with the red-bulbed strike point on the left side as opposed to on the right. Since the red-bulbed strike points are all part of this cups shape, reversing the orientation of the horizontal match will maintain the shapes integrity ( A transparent overlay of the final position placed on top of a transparent image of the initial position would make this more evident). Given this, the second proposed solution would not be possible by moving two sticks only. I love these kinds of puzzles - please keep them coming!
“Don’t listen to haters” is good advice, but also understand that it’s not the gods that control the algorithm, but real actual people who click on your videos.
it was easy to skip through since you marked them anyway, well made and presented. my favorite was the use of 3rd dimension in the puzzle, I want to say I will consider it in the future when problem solving
Or, similarly, pick up one of the horizontal matchsticks, light it, use it to light he other horizontal matchstick as well (being careful not to light the vertical matchsticks), and you’re left with the number 1-another perfect square.
Or alternatively, we can move one matchstick accordingly to make the square gap in the middle, then *_close the WALLS in_* to make a rhombus square around the matches.
Exactly - I do NOT appreciate puzzles where the "solutions" are actually in the ambiguity of wording or in not explicitly forbidding things that would be reasonably assumed to be NOT allowed. If I have to go "yes but can I..." after your puzzle is stated, it's YOU who failed, not me.
@@MichaPawelec-tz4ub This only works with the maths solution anyways, as any tool you use to make the cut *will* remove material at least as thick as the cutting implement, leaving you with a slightly smaller piece. But since we're doing 'outside the box' thinking... You can fix that after the fact by drowning them in water to let the pieces expand up to 6% (depending on wood).
In riddle 5, i have just a small issue with the second solution : if you're allowed to move the coin with a match, i have another one using just one match : you grab a match, shoot the coin and put the match back to its place... 😂
Or you can do it with just one match. Push the middle match up, till coin is outside of the cup, then move the match back to it's original spot. For that matter, you could do it with any match.
I assumed only straight cuts were allowed. Cut vertically down a piece that is 9x1. Rotate it this piece 90 degrees, now cut again down vertically another 9x1 piece, but you will also cut the first 9x1 piece into 8x1 and 1x1. Use the 8x1 to cover the hole in the wood which is now 10x9, and use the other 9x1 and 1x1 to make a 10x10 piece of wood.
Now I think I actually like this solution more than the original one! It also feels more straightforward to understand rather than making weird cuts like the original solution.
Neat, but it doesn't work within the rules of the puzzle. A cut is defined as "one entry at any edge and one exit at any edge". You'd have to enter and exit several edges with the second cut.
1. It was purposely mentioned that you can cut in any shape you want 2. Your solution is not valid according to the rules You need to pay more attention, lol
I don't think so, first cut is ok, then u place the two pieces one over the other and proceed with the second cut from the edge of both pieces, sliding the smaller piece along the cut, so at the end u exit from the edge of both pieces at the same time! So u entry one time and exit one time.
They're specifically telling you what they're considering a cut for this specific problem. These problems are not about technicallities, they're about reasoning and problem solving based on ESTABLISHED RULES (or not established rules, like the coins problem, it's not ambiguous just because it didn't occur to you that you could put a coin on top of others, like some people want to believe)
@@PhilipHaseldine There is a big difference between "one" and the concept of "ones". It becomes a farce as soon as you hit plurals. It must be stopped.
That one was devious because some digits represent data and other digits represent run length. It's not really about reading the sequences out loud, but about using an encoding (resulting in sequences where the run lengths and the data are interleaved without any visual clues about what is what). Deviously, what were run lengths digits in one sequence become data digits from the perspective of the next line. Pretty tricky to work that one out.
First puzzle is an example of how we place constraints on our reasoning that are not required. When I heard a "single" I was thinking in terms of one cut MOTION and not one cut ACTION of any or multiple movements. That changes how you would look at the puzzle entirely.
You are arguing those constraints are "not required" because you're using the solution as a starting point for your reasoning. Those constraints are the consequence of purposely limited communication. The terms you use, "motion" and "action" can be described in different ways too. To me, and for most people, "a cut" has to be a line. And the person who wrote the puzzle is taking advantage of that fact. "Outside the box" puzzles are mostly about deceit rather than actual logic. Take the 2 matches to make a square example, it's practically impossible to make a perfect cut on a match by "only moving" one of them. You would require some kind of tool, which already conflicts with the "only move one match" part of the rules. I think a better advice in life is never forget common sense. The box doesn't exist.
@@Miscio94 Fair point...but I guess the way I look at it is...whose fault is it that the deceit works? The author of the puzzle? Or mine? However, I do agree that I would not consider that a true "logic" puzzle the proper sense, as it requires a certain degree of presumption regarding the framework of the rules rather than a purely logical assessment of the puzzle.
Exactly. It's a typical Presh problem. He presents a problem with limited information then uses information that would normally be available in the problem to solve it. I'm just happy I got him to stop saying Goooguuu
I thought that too, but then it does say edge to edge, so you could turn it different angles in the same cut (if you were skilful enough with scissors)
#1 is a good one. However I would argue that it is cheating since you cannot make a 90° turn cutting wood. Therefore it is not two cuts. "2 cuts" implies putting your wood down on a bandsaw and making a cut twice.
Well the definition of what counts as "a cut" was clearly given, so maybe the only possible improvement is to call the material "imaginary material" and the cut "imaginary cut" to avoid such semantic debate. (One could also argue that a cut in any material removes material so it is impossible to cover the hole).
It's possibly the best solution if the question specifically called for 3 matches to make a square. Also, not a fan of both solutions shown here. One requires that specific set up for matches. The 4 solution is pure semantics.
my solution: just take away ANY if the 4 & throw it out.... you're left with not just 1 square BUT 2! (so that's a two-fer) and by "squares* i mean angles, NOT geometrical shapes 💁🏻♀️ now THERE'S some real "outside of the box" thinking for ya! 😉 you're welcome
My thought on the wood covering hole puzzle, is the wood exists in 3 dimensions, just do a planar cut and have two pieces of the same area but half the thickness.
@@butternerd-sz1nw ok, but now I get hung up on “edge”. When you cut in half (or thirds), you are going to hit the edge in the center. It’s not well defined for me what cuts are allowed. The cut you suggest is both hitting an edge as I understand the meaning AND still in the wood. My brain hurts (but I got 2-6 first).
On puzzle 6, I was screaming and swearing at the screen when he made the little square gap with the matchsticks, "NOOO!!! MAKE THE NUMBER FOUR!!!" Then he did it. It was very satisfying.
But the animation is wrong when he made the number 4 he didn't have the puzzle set back to the original setting and the long vertical part of the 4 shows a gap between the matches so that would indicate that 2 matches were moved to make that 4 if it was set back to the original and then one match was moved to make the 4 then it would be fine.
I was thinking you take one match, break it in half to make a right angle, then use that to make a 1/2 x 1/2 square. Sure there’s stuff besides the square but you still made a square.
I do not know if anyone has already said this, but the first puzzle can also be solved by doing a vertical cut 1 unit from the edge. if you then rotate this piece and move it to the bottom of the wood so that the former top of the piece is now at the uncut side, you can make a new cut similar to the old one, another vertical cut 1 unit from the edge. however, this cut will also cut our other piece, making it 8 units long. This piece now fits in the hole of the wood! And we are left with 2 pieces, one with length 1 width 1, one with length 9 width 1, and the wooden structure being length 9 width 10. the 2 pieces can be moved to make the entire structure length 10 width 10. Really happy I found this solution :)
puzzle 1: given that a cut is define by coming from one edge and getting out at another edge, nothing stops you from cutting in loops inside the wood, so you can have as many detached blocks as you like, which (i assume) makes the puzle much more trivial : just cut a bunch of one by one square by looping over the same continuous cut line before your first exit, and you can rearrange them how you want
For puzzle 5 Label the matchsticks on the sides as A&B(left to right), the horizontal one as C and the last one as D. Move C in the left direction at half a length of a matchstick. Then move B parallel to D towards its left. The result has the same shape of a cup but upside down(no restrictions mentioned) and the coin is outside.
Exactly, I wanted to write a comment how to solve it without cheating (moving a coin is cheating) but I've checked comments section before not to create duplicates and found your answer. :) Before: |_'_| | After: _|_' | |
I love the puzzles. The first one feels like some carpenter was trying to cover up an opening with a random piece of wood and found a great solution for it.
Puzzle 4: A star of David is also a solution. Even though it makes 8 equilateral triangles, the puzzle's wording does not preclude making more than 4, just that you have to make 4.
Also you can make two equilateral triangles, flip one and overlay them. You also get a diamond in the middle, but the rules didn't say I can't make a diamond!
If you cut a 10x10 piece out of the middle of a larger piece, the 10x10 piece will fall through the hole it just vacated. Further-this new wood hole covering isn’t a single piece-it’s two odd-shaped, detached-from-each-other pieces. They will fall apart and fall into the hole.
I loved these puzzles. I got 2 and 4 pretty much immediately at a glance, but my next closest was 3, where I needed you to get pretty deep into the explanation (about how to group the numbers) before I got it. Didn't get the others at all.
For puzzle one, you may cheese it a little if you didnt understand the rules: First you cut a 9*1 bit of from on of the edges 2. Put it next to the big piece 3. make a cut through both so that you get a new 9*1 but also a 1*1 and a 1*8. 4. arrange as obvious :3
alternative solution to puzzle 1: cut a 1x9 strip on the right side of the wood, put it over the hole in the wood with the 1x1 in excess on the right of the hole, cut a second 1x9 strip on the right cutting also the 1x1 excess of the first strip (this is one cut, more so than a zigzag cut, we would use a circular saw only once), use the 1x8 to fill the hole in the wood and the 1x9 strip + the 1x1 piece to complete the square at the top or bottom
Yeah, that's a way more legitimate definition of "a cut" when it comes to wood. (Even though, like any solution this of course also assumes a mathematical zero width saw to avoid any waste). If one allows 90° turns inside inside the wood to count as one "cut", as this video's solution; then one must be using a (magically thin) laser cutter or water jet and define "a cut" as turning the cutting beam on and off; but if that's allowed; then you could also just keep the cutting beam on while moving through the hole in the middle, meaning it really could be considered "one cut" rather than two. But if you are using a real world physical saw then the solution in this video would require 14 cuts and 12 turns that probably would require you to drill a hole at each corner first to be able to turn the saw; and because no saw is infinitely thin you would have to make up for the gap with a lot of wood filler.
That doesn't follow the rules of the puzzle, but the zig zag is meaningless, you can do straight cuts on an angle and get the same result. Just picture a straight cut through the zig zag, both on the same angle and ending at the corner of the center opening.
1 Puzzle: If its laying flat on a table, cut it horizontally, so you get two thinner copies of the original, move one in the directions of the 12‘ edge and you have a full coverage square 10•12. (i know thats forbidden, but it wasn’t stated to be)
I had a different solution for number 1 because it did not say we could rearrange the wood. First i cut a 1x9 strip of the left most side of the wood (also possible on the rightmost side) Now i have an 11x9 with a 1x8 hole and a 1x9 Now i slide the 1x9 at the bottom of our 11x9 witha 1 x8 hole at the bottom in a landscape orientation so that we have an 11x10 with the original 1x8 hole and a bottom right hole 2x1 hole Now, i make another 1x10 cut from the left, so im left with a 1x8 since the 1x9 was also cut and i use that to fill the hole and there was another 1x9 cut with a 1x1 i stuck them together to make a 1x10 So i have a 9x10 stuck with a 1x10 making a 10x10 If you disagree with this solution since im technically cutting two edges thats fine and i understand, but i would reply with i could paste glue after making the first 1x9 cut attaching the 1x9 to the big piece of wood by sticking the 1x1
I have a different solution in puzzle 5 if we push the only horizontal stick to right horizontally so that the bottoms of both the horizontal and the downwards facing stick, at this position the upside facing stick on right will be at mid point of the horizontal stick. And now just move the last upside facing stick on the left to the head of the horizontal stick :)
Puzzle 1: I'll make 2 L-shaped cuts. Rule interpretation = The wood board has only 4 edges. I start at an outer edge, cut through the middle hole to an outer edge. The 2 cuts will overlap, resulting in 4 rectangle pieces that will fit the 10x10.
Puzzle 1: Had a rough time visualizing and gave up because I am too tired xD Puzzle 2: Took some objects to build it in front of me. Had to shuffle them a bit around until I found the solution to put two on top. Puzzle 3: Makes sense how you explained it, but I did it differently. I was like first row is a 1. So we have 1 times 1 (which builds second row). That again is 2 times 1, which is then the third row and so on. Same result in the end. Puzzle 4: That one was easy for me. Was immediately thinking of a dice in form of a tetrahedron xD Having a dice collection payed off here ^^ Puzzle 5: This one was a regular puzzle I came across as a child, so I knew that one because of earlier solvings in my life :D Interesting second solution. It wouldn't have been allowed in the one I knew, because the first move, moved a second matchstick from it's original position. In the version I know it's specified that you should pick up the matchstick and put it into a new position. Puzzle 6: Took me a bit longer, because I didn't see the lines properly, but when I made the video fullscreen, I saw it quickly :D Another interesting second solution!
I found a more simple solution for puzzle 1: - First cut: straight cut from the top after the second imaginary column to get a 2x9(w x h) rectangle - Second cut: cut a 2x1 (w x h) rectangle in the last two column . It's 1 row above (or below) the 8x1 hole We can combine the rest two parts together to have a 10x8 rectangle, then add 9x2 and 1x2 to get final square.
Riddle 1 "think out of the box" the riddle do not forbid you to cut along the edge(s) imagine first cut around "1"-s from right in between last two columns (the internal edge included) then cut around the '2"'-s youll get 2 bars of 8 + 1 bar of 2 1 of the 8 bars go in the whole the next to makes a 10 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2
@@daniskaoz It is not stated you cannot cut along the edge Even in the proposed solution, man can cut along the edge from the top left corner until the moment is going 90 degree. It is not forbidden.
@@larieu That's not where the cut starts, though. It enters at the edge, it never traces along an edge. I think legal cuts have to be doable without cutting along an edge, otherwise you could make all kinds of wild cuts by tracing along the outer edge once you reach it.
@@larieu Not quite. The solution's cut begins when it enters the figure and ends when it exits through an edge, any further lines did not alter the cut's result. If you cut along an edge you're cutting outside the figure.
Puzzle 1: I did suggest a zigzag pattern for the bottom and upper half separately but I didn't come up with the 1:2 hight-depth-ratio. Puzzle 2: Take the middle 2 coins and put 1 each onto the middle of the trio coin groups, easy. Puzzle 3: Already seen; Numbers are counting the number of a digit; "111221 = 3 1's, 2 2's, 1 1"; Next is 13112221. Puzzle 4: Tetrahedron (has 6 edges, 4 faces). Puzzle 5: Already seen; (has 2 symmetrical Solutions) Take the middle matchstick and shift it half a length right- or leftwards; The disconnected Stick at the top can be put 'diagonally across' (top right => bottom left // top left => bottom right) => to rebuild the cup. Puzzle 6: (Also already seen I guess;) take the top stick and shift it upwards by 1 width. Man, I'm feeling spart (or like someone that's consuming too much UA-cam)
I came up with a different solution to the first puzzle, but it only works if you allow that cutting exactly *along* an edge doesn’t count as *exiting* the edge. This would be impossible with an actual saw, but I think it should be valid in geometry puzzle land. Cut #1: enter the rectangle on its left side, 4 units down from the upper-left corner. Cut straight to the right until you hit the upper-left corner of the gap in the center, then turn ninety degrees clockwise and cut straight down, following (but not crossing) the left edge of the gap until you hit its bottom-right corner. Then turn ninety degrees clockwise again, and cut straight to the left until you exit the left edge of the rectangle 1 unit below where the cut began. This has the effect of extracting a 2×1 rectangle (let's call it A) from the middle of the left side of the 12×9 rectangle. Cut #2: enter the rectangle on its top, 2 units to the left of its upper-right corner, and cut straight down until you exit its bottom edge 2 units to the left of its bottom right corner. This cut also follows (but does not cross) the right edge of the inner gap for 1 unit. This has the effect of separating the remaning wood into three pieces: a 2×9 rectangle from along the right side of the 12×9 rectangle (let's call it B), and two 10×4 rectangles left over from the top and bottom (let's call them C and D). Finally, rotate A and B by ninety degrees so that A now appears 1×2 instead of 2×1 and B now appears 9×2 instead of 2×9. When placed next to each other horizontally, they cover 10×2 (let's call this shape AB). Stack C, AB, and D vertically. They are all 10 units wide, and their heights are 4, 2, and 4, which also add up to 10, thus covering 10×10.
It is impossible to completely cover the square hole in puzzle 1. Any 10x10 square would just fall to the bottom of the hole (assuming no friction) and the hole would still be there. You need something at least slightly bigger than 10x10 to cover the hole. Unless the depth of the hole is the same as the depth of the wood, however neither of them is specified. This is the only correct answer for want of a better question.
So cut through the center laterally to form two pieces with half the thickness and put these on top of each other with a slight shift so that the hole in the wood is also covered. Easy peasy japanesy
I had this same thought but then realized the diagonals would require matchsticks of size sqrt(2) so they wouldn't be big enough, and also not all sides would be size of 1 matchstick
That would make 45-45-90 right triangles where none of the sides are 1 matchstick long, not 60-60-60 equilateral triangles where every side is 1 matchstick long. (Text said "equal," but Presh said "equilateral.")
For the first puzzle, there's another way of doing it that "makes more sense" with the context in that a cut is defined as a straight line across the shape. Basically, we can make a vertical symmetric cut at the middle. Then, we "stack" the two symmetric, and we cut it into two "L" shapes and two 4x6 rectangles. Those pieces can be put together to form the 10x10 square.
@@UA-cam_username_not_found @UA-cam_username_not_found I'm not sure about which part you don't understand, the cutting part or assembling part? As for the cutting part, you firstly do like a vertical cut at the "middle" of the shape which will give you 2 symmetric pieces. Then, you can "stack" one piece on top of the other, and then you cut the middle. That will give you two "L" pieces and two 4x6 pieces. For the assembling part, I drew the 10x10 square with my keyboard (I hope it's readable). Between every two point count is a segment of about same length. Below is one way of assembling (there could be many others). The pieces are delimited by the countours. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . The shape should load correctly if you read the reply on a computer.
@@somewhatblankpaper1423 OK thank you so much 😄for this explanatory response and the clever visualization! However, your solution doesn't follow the rules of the puzzle as the 2 cuts you chose both pass by the hole which would make each one of them actually 2 cuts and thus 4 in total which exceeds the required amount. Nevertheless, your solution was interesting to see.
@@UA-cam_username_not_found I see your point, but I thought like a cut starting at any edge and exit from any edge as in I can choose which edge I start with and which edge I end my cut at.
Puzzle 4: Make two equilateral triangles, place them on top of each other BUT invert one of them. Nobody said I can't make a diamond as well as four triangles :P
1) The first one is easy, although I've probably encountered a similar question before, a long time ago. I think the question I saw was the other way around: cut a 10-by-10 square into two pieces, such that those two pieces and a 1-by-8 piece can completely cover a 9-by-12 rectangle. If the 10-by-10 square is projected onto a Oxy coordinate system (horizontal x-axis pointing to the right, vertical y-axis pointing up), with O = (0,0) , X = (10,0), Y = (10,10) and Z = (0,10) being the vertices of the square, then define points A = (0,1), B = (2,1), C = (2,2), D = (4,2), E = (4,3), F = (6,3), G = (6,4), H = (8.4), I = (8,5), J = (2,5), K = (2,6), L = (4,6), M = (4,7), N = (6,7), P = (6,8), Q = (8,8), R = (8,9), S = (10,9) . Then cut the square along the straight line segments connecting ABCDEFGHIJKLMNPQRS . 2) Take the middle two coins (the third from the left in the top row, the second from the left in the bottom row), place each of them _on top of_ one triangle (covering the center of the triangle). 3) The last displayed row is 312211 . Just call out what you see: "one 3 , one 1 , two 2s , two 1s". So the next line will be: 13-11-22-21 , or (without the hyphens) 13112221 . 4) Again, think 3-dimensionally: create a tetrahedron. 5) Move two matchsticks so the matchsticks form an upside-down cup: move the middle matchstick a half-length to the right, move the top-left matchstick to the bottom-right. 6) Move the right-most matchstick to create the figure 4 . Yep, I solved all six puzzles.
@@ric6611Yep.. in these videos, “thinking outside the box” typically means to find loopholes, and you can really only find loopholes in a problem when the constraints of the problem are very vague…
Puzzle 1 can solved in a single cut - make a rip-cut so you have two identical, but thinner, boards, and overlap them to cover the 1x9 hole. As a bonus, this covering is larger than the hole, so it can't fall in.
For the last puzzle, moving one matchstick to make a square: Pick up one matchstick. Light it. Use the lit match to light up a joint. Pass the joint around the group. The one person (there’s exactly one in every group) who refuses to take a puff-he’s the square.
Here's a puzzle for you (that I like). A sadistic jail warden has one hundred prisoners. Every day he brings one prisoner into an interrogation room to be interviewed. The order is completely random, but he does promise that as time approaches infinity he will interview all prisoners infinitely often. He will not just take one prisoner but will eventually get around to everyone, but he can interrogate the same prisoner for 50 years before moving on to the next one..... and then coming back to this first unfortunate soul. In short, for any point in time,if this whole thing is allowed to continue, each and every prisoner is guaranteed to be interrogated some time in the future, and then again, and again, and again, but it can take years between the interrogations. In the interrogation room there is a light bulb that is switched off from the start. The warden promises that he will not mess with the light, but when a prisoner comes in he will find it in whatever state the previous prisoner left it in. He can play with it as much as he likes during the interrogation, but must leave it either on or off for the next prisoner to find. The warden promises that if, at any point in time, if anyone comes in and says that all prisoners have been interviewed, and is correct, then they will all be let go.... otherwise they will all be shot. They may form an initial strategy in the court yard before the whole ordeal begins, but once it all starts they will all be in solitary confinement with no means to communicate with each other except for using the light bulb in the interrogation room. Is there a strategy that guarantees all prisoners safe release?
If the warden interview everyone as time reaches infinity just go in and ask the warden has time reached infinity yet. If the answer is yes then say everyone has been interviewed
The first time each person finds the light off, they turn it on. One person is chosen to turn the light off whenever they find it on. This person counts the number of times they have turned it off. On the hundredth time they find it on, they know that everyone has been interviewed.
@@PinesmokeArtso, if I understand this right, the logic flow would be : for a regular person, if they find the light off AND they have yet to turn a light on, they turn it on; otherwise if light is on they leave it on, or if light is off and they have switched it on previously they leave it off? And for the counter: if light is off, leave it off; if light is on - turn it on and add 1 to total; when total reaches 99, announce all people have been interviewed and request freedom? And the counter person is acting as a form of logical arithmetic accumulator…?
Puzzle 6: Take any match, break it in two and put one piece vertically to a match at the middle of it. Similarly put the other piece at the middle of the other match so that the ends of the two small pieces touch each other.
Outside-the-box solution to the first problem. Make a single cut along the top so that you have a long thin right triangle of height 12 and base 1. Stick the point in the ground in front of the hole and glue the remaining piece of wood to the top to make a sign. Print on the sign "please watch out for the hole." Job done!
Alternate solution, do that same cut but use the resulting shapes to turn the hole into a spike trap. That way, no one survives the hole long enough to complain about it being there.
puzzle 1 question: if we cut off a piece, place the cut piece on top of the remaining board before making the second cut, does that count as an entry to one edge, or two edges?
Puzzle 1 is achievable with *2 straight cuts*! Solution: 1) Cut the right column (1x9) 2) Cut one more right column (1x9), but before executing the cut take the piece from step #1, rotate it 90 degrees and align it so this cut will also split it into 8x1 + 1x1. Now we have: + Original piece without two right columns + 8x1 (fills the whole in the original piece) + 1x9 + 1x1 (produce extra 10x1 row) Easy, solved in a couple minutes:)
#1 think 3D as well - cut it in half in the Z dimension, then the two (thinner) 12x9 pieces you wind up with can be laid on top of the hole offset by 1 unit in the Y dimension, so that you have a 12x10 stacked sheet with the 8x1 holes in sheet 1 covered by the second sheet, and vice versa. (Dimensions reference: X is left-right on screen, Y is top-bottom on-screen, Z is the offset from the plane of the screen) You can technically cover up to a 12x17 hole with this method, I think.
When you said that one can use glue for puzzle 4, the puzzle became way too easy. As for last puzzle, I wondered how when I saw the thumbnail, but in the video I saw the outlines of the matchsticks and thought of moving the upper matchstick slightly up. Nice video :)
With every question I hoped for a clever mathematical solution. I was disappointed with mainly solutions that "lawyer" the problem statement. This way I can move the coin outside of the cup "without moving a match": I just move the coin :/.
Probably overthinking this but for the 1st one it won't cover the hole since the cut board and the hole are the same size it will fit into the hole and not cover it. In order for the piece to be able to cover the hole and stay in place in needs to be bigger then the hole not the same size as the hole. Also the last puzzle you did the animation shows moving 2 matchsticks you moved the one matchstick to make the square at the ends between the gaps and then when you showed the second solution you never put the puzzle back to the beginning so you then when you made the 4 the long vertical line of the 4 there is a space between the 2 matches which means that 2 matches were moved to make that 4 but the audio description you gave for the solution is correct if you begin with the original layout of all 4 matches touching at the ends.
my solution for 1 is: cut the far left or far right side from top to bottomn, now take the 1 by 9 piece and put it on the top or on the bottomn of the block to eather the left or right side so that it is not sticking out but also not in the middle, now cut on the side that you put it from top to bottomn again so that you also cut trough the first piece, now you will have a 1 by 8, a 1 by 1, and a 1 by 9, and the main piece will be 10 by 9 with the 1 by 8 hole in it, now put the 1 by 8 in the 1 by 8 hole now you will have a 1 by 1 a 1 by 9 and a 10 by 9, put the 1 by 1 and the 1 by 9 on the top or bottomn so that they are not sticking out and you got a 10 by 10 I = cut, 0 = nothing, 2 = just put here and 1 = wood 9x1 + 1x1 1, 0 00000000000 2, 02I2222222222 3, 002222222222 1I11111111111 01I1111111111 001111111111 1I11111111111 01I1111111111 001111111111 1I11111111111 01I1111111111 001111111111 1I10000000011 01I0000000011 002222222211 8x1 in 8x1 hole 1I11111111111 01I1111111111 001111111111 in 10x9 with 1I11111111111 01I1111111111 001111111111 9x1=1X1 1I11111111111 01I1111111111 001111111111 on top = 1I11111111111 01I1111111111 001111111111 10x10
There are plenty of youtube videos where this would be a fair comment, but when the first three words of the video title are "6 impossible puzzles", you're whining about nothing.
the video even has chapter markers, and if you look at the thumbnails of the chapters you can see that the 6th puzzle is the one from the video thumbnail, and you can tap to jump right to it…
For riddle 1 : Let's assume x and y coordinate, where the origine of it is the bottom left side (i.e. the top right corner is (12;9)). Start the first cut from (2;9) down to (2;1) and make a 90° turn to the left to finish the cut in (0;1). Then, make a second cut from (1;9) to (1;0). You are then left with two 1 by 8 rectangles, two squares of length 1 and a 10 by 9 rectangle with a 8 by 1 rectangle missing in the middle. You then put one 8 by 1 in the 8 by 1 gap, and move the last 8 by 1 and the two squares to the bottom of the resulting rectangle, leaving you with a 10 by 10 square, covering the hole ! I hop my answer was clear enough ^^
Puzzle 1: just make 2 rectangles of 4x10 what youll left with will be 2 rectangles of 2x5 and that you can fit in. From your boxes that you made at 2:00 leave first 2 boxes and take the cut to the hole covering 4 boxes vertically and take it to the end 10 boxes. And the next cut will be bottom 4 lines till the 10th line.
Far easier solution to Puzzle 1: xxxxxxxxxx oo xxxxxxxxxx oo xxxxxxxxxx oo xxxxxxxxxx oo oo oo oo xxxxxxxxxx oo xxxxxxxxxx oo xxxxxxxxxx oo xxxxxxxxxx Cut once left-to-right, entering the left edge 4 units down from the top, going straight over into the hole, dropping down one unit to the bottom of the hole, and exiting straight out of the hole to the right edge 5 units down from the top. Then cut top-to-bottom, entering the top edge two units left from the right corner, going straight down into the hole, moving left to the other side of the hole, and exiting straight down out of the hole to the bottom edge 2 units right from the bottom left. Those 2 cuts create 4 pieces: 2 pieces that are 4x10 and 2 that are 5x2. They easily form a 10x10 square:
That is 4 cuts. "Entering the hole" means exiting the shape through an edge, which completes the cut, according to the rules of the puzzle. You can't continue the cut through the hole. You start a new cut.
@@softy8088 I rewatched the video to see how you could interpret the wording that way, and I see that this video indeed only made "one cut" according to the best interpretation of the wording, so from this video's (and your) interpretation, you're right. From the proper interpretation, however, I am right. The instructions are to "enter" and "exit" from the piece of wood by making cuts. You don't exit the wood by having your cut end at the center of the wood. And most puzzlers don't consider a hole in a figure to be an edge of that figure. Cutting implements (hand saws, table saws, etc.) can neither enter nor exit at the "edge" at the tiny hole in the middle. Every reasonable interpretation of the wording is that you start each cut "outside" the piece you're cutting, and cut "into" the piece, and eventually emerge back outside it. Again, though, I agree that the video does support the interpretation you're taking.
My solution for puzzle 5. Simply move the horizontal match up level with the top of the two highest vertical ones, then move the lowest vertical stick above it. As we are allowed to "think outside the box" then the only thing keeping the coin in the cup in the starting position is gravity. By now inverting the cup, the coin falls out. OR you flick the coin with the second stick before resting it down. Fulfils the criteria :)
I solved two: Puzzles 4 and 5. For number 6, I would suggest to change the puzzle to read: "Move one stick to form two square," purposely omitting the "s' in square to form the number four, or two square.
Puzzle 1: If you define an edge as an interface between wood and blank (the thing in the middle of the piece) you can cut the last column out, then arrange it such that when you cut the next last column the previous column's head gets intercepted and a square gets cut off. The rearranging part should be obvious.
For the 4 equal triangles you can use another trick: put two of them overcross as a plus symbol and put the other sticks on the outside. Now you have 4 equal triangles in a square
I spent some time trying to find a easier way to solve the first one. First, you cut both the 2cm sides , one of them the full length (9cm) and the other with 8 cm, you want to leave 1cm on one of the other parts. Then you'll have 4 pieces, one with 2x9, another 2x8, another 8x4 and another 8x4 plus an additional 2x1 on the side, that has to be cut in a way that the bottom part sums up to 10cm. So , what you do is put the normal 8x4 on top, rotate the 2x8 so you'll have 8x2, put it in the middle (you can go either way), so we'll end up with a rectangle with 8x6. Then well add the 8x4 with an additional 2x1 on the bottom, that makes 10x8, and well end up with a space of 2x9 on the side because of that extra 2x1 in the bottom. That's exactly the other piece we have cut, and that completes the puzzle in the simplest way possible
in riddle 1 it doesn't state that a cut creates new edges so if you're willing to bend the rules a bit there you can go for this solution: suppose that the rows of the grid are numbered 0-9 (bottom to top) and the columns 0-12 (left to right). 1st cut - start at (1,0) -> (1,1) -> (2,1) -> (2,0). 2nd cut - start at (1,9) -> (1,1) -> (2,1)-> (2,9). we end up with the following pieces: 1x8, 1x9, 1x1 and a 10x9 with a 1x8 hole. fill the hole with the 1x8 to create a 10x9 and combine the 1x9 and the 1x1 to a 1x10. then add them together to make the 10x10.
P1: I knew, that there must be a diagonal zigzag cut, but i did not knew where excactly... P2: Got it :D P3: Got it :) P4: 3sided pyramid... P5: For me flipping the cup is the more logic way to solve it... P6: now you got me... :D
In puzzle 3 answer can be derived by occurance logic starting from unit digit. So 1 occur 1 time so 11 . Now 1 occurs 2 times so 21. Then 1 occur 1 time 11 and 2 occur 1 time 12 hence 1211. Now last was 312211 then 1 occurs 2 times 21 ,2 occurs 2 times 22, 1 occur 1 time 11 and 3 occur 1 time 31 hence ans is 13112221. In puzzle 5 we can make glass upside down though it bounds the same area. Coin will fall by gravitation
In puzzle 4, there’s another solution. You take 2 stick and put them in parallel, then, three-dimensionaly put above another two sticks in parallel again, on a way so it looks like a not started tic tac toe game. Then put above the other 2 sticks diagonally so it forms a square with an X in the middle forming 4 triangles, equal sized one from another.
Alternative solution for 1 which only uses straight cuts: 1. Cut a 1x9 off of the right side. Take this cut piece, rotate it 90 degrees, and place it along the top edge all the way to the right. 2. Cut another 1x9 off the right side, and while making this cut, the saw will follow through to also cut the previous 1x9 piece from step 1, attached to the top. The piece from step 1 is now 1x8 and a separate 1x1. 3. Arrange into a square. The 1x8 fills the hole in the center, and the 1x1 + 1x9 together complete the top edge.
If you allow cutting it that way in puzzle one, I'll make 2 meandering cuts in a snake-like pattern, one running up and down, one running left and right. The back and forth are 1 unit apart. Leaving 100 small squares, which I will then push together to form the 10x10 square. Not much of a puzzle now but definitely a surprising solution. Here's another solution with zero cuts. Push the entire piece of wood into a disk/belt sander, collect all the dust and mix with adhesives before compressing it into a 10x10 square and let it set. Surprising solution indeed.
I solved all, also I used creative way for number 1 puzzle - cut left or right side (doesn't matter which) to get 1x9 piece. then cut again left or right side to get another 1x9 piece, but this time, firstly, put already cut 1x9 piece so when you do second cut, you also cut out 1x1 piece from the first piece. so technically you do 2 cuts but get 3 extra pieces - 1x1, 9x1, 8x1. use 1x8 to cover the 1x8 hole, the 1x9 and 1x1 connect to get 1x10 you put at the bottom of shape. result is 10x10.
Easy Puzzle 1: ~1 min to find alternative solution (my another comment) Puzzle 2: ~3 seconds Puzzle 3: I knew about it Puzzle 4: ~3 seconds, solved even before he mentioned "glue" Puzzle 5: ~5 seconds to flip the cup upside down, which I thought is enough because of gravity Puzzle 6: ~3 seconds by using the "cheating technique" from Puzzle #5 second solution in the video (I'm surprised he didn't mention it as an option to also solve #6)
Puzzle 5. Move the horizontal match up on top of the 2 verticals ones. After this there will be a match that is not touching any other matches. Move that one up on top of the one that you have just moved in the previous turn. The coin will drop out the cup because of gravity.
Puzzle 1: did it a bit differently. Take bottom left corner as origin (0,0) and the cuts are described with the points through which they go. You get the cut when the adjacent points are connected by staright line. Cut 1: (10,9), (10,8), (11,8), (11,0) Cut 2: (11,9), (11,8), (10,8), (10,0) Small part of the cuts overlap which wasn't explicitly forbidden in the puzzle, but let me know if you consider this a bit of a cheating.
Puzzle 1: Cut 1x9 off of right hand side, use this to cover 1x8 hole with 1 square overlap. Then cut 2nd 1x9 piece from right hand side which also slices through overlap giving a 1x1 piece then both of these can be placed at bottom to make 10x10.
For answer 1, you can make the cut at an angle instead of zig zag if I'm not mistaken. I believe it will work the same and that is how I expected it to be done. I didn't even think to zig zag the cut. (From top right of middle hole to top left outer corner and then the other cut from bottom left of middle hole to the bottom right corner.
Puzzle 1, if we are precise, two L-shaped cuts create four pieces. From (0,4) to (10,4) and down to (10,0) lops off a piece that is 10x4. Symmetrical cut from (0,5) to (10,5) up to (10,9) creates another piece that’s 10x4. What remains is 2x1 and a 2x9 which are rotated 90 degrees. As long as a cut across the inner rectangle’s side is not considered exiting the inner edge since the saw blade coincides with the edge …
Before seeing the answers: 1) Cut the wood to cover the hole. Cut the wood along the plane, creating two thin copies of the wood. Then place them over the hole blocking everything. If we have to have a second cut, cut the corner off one or something. 2) Make each coin touch three other coins. Take the two coins from the middle and stack on on top of the tree on the left and the three on the right, making two non-touching little pyramids of coins. 3) What comes next? More numbers. 4) Make 4 triangles with 6 matches. Build a little pyramid out of the matches. 5) Move two matches so the coin is outside the cup. Use two matches to push the coin away and then put the matches back in place. 6) Move one match to make a square. Push the other matches around with a match until you have a square.
11:30 the video art You don’t have to consider the object as 4 sticks. Pretend their 2 sticks shaped as a boomerang (right to top connected, and left to down). From there, just simply slide one of them along an axis from the top right corner of the screen to the bottom left. That will make a square by moving only 1 stick. They never defined ‘stick’…think Outside the outside of the box.
I've solved Puzzle 1differently: First cut is a vertical line along left edge 1 unit away from edge, so we cut away a piece of 1x9 Next we flip that piece by 90 degrees and put it along top edge of big wood piece aligned to left Next cut is again vertical cut along left edge of two combined pieces 1 unit away from edge After second cut we got 4 pieces - 1x9 was split into 1x1 and 1x8, and at the same time we cut away another 1x9 piece from big piece which now is 10x9 with 1x8 hole inside Now we use 1x8 piece to cover the whole inside big piece which gives us 10x9 solid piece and we got to 1x10 line to cover which we do with 1x9 and 1x1 pieces Can't use animations in comments, so it will take some effort and good imagination to follow this :P
For the square hole puzzle, the solution I'd come up with before you clarified that each cut must be made to the original piece of wood was: cut horizontally along the bottom line of the slot, from one side of the box to the other; slide the bottom part to the right by half the width of the slot; cut vertically along the right edge of the slot; that leaves a 5-by-2 piece from the right of the box and upwards, to move to the half-turn opposite position below and to the left of where the slot was. The second cut also bisected the 4-by-12 lower part from the first cut into two 4-by-6 ones, that we now rotate to place their 4-edges along the slot and their 6-edges downwards. While this violated your spec for how each cut must be made, it's two cuts, each a simple straight line at the time of cutting.
Puzzle 1 has a second solution. Cut 2 of a side, rotate that so that it is connected 1 away from the other side, now cut the other side off, the cut will go through the rotated piece. You now have 2 4x8 pieces a 2x9 piece, a 2x8 piece and a 1x2 piece Stack the Xx8 pieces to make a 10x8 piece. stack the 2x9 and 2x1 to make a 2x10 and put it to the side of the other stack. You now have 10 x 10 by making 2 straight cuts.
➡10:33 skip to puzzle of thumbnail preview. (Sorry for any annoyance. Next time I will put the thumbnail puzzle first and see how UA-cam algorithm gods respond)
Puzzle 3 is a puzzle I’ve been wanting to send you for years but felt it was too simple and you wouldn’t show it. A teacher of mine gave me puzzles like all of the time in 7th grade. And as far as I remember, the largest number will never be above 3.
Do not listen to haters, I think it’s perfectly fine to address the thumbnail at the end.
It’s a “harder” puzzle by any calculation, worth it to go through the others before getting to that one
10:16 Puzzle 5. In order to maintain the "same shape of the cup," The same two matches are moved ( as suggested in the first "proposed" solution), with the vertical match being placed as shown. However, the horizontal match needs to be placed in its new position with the red-bulbed strike point on the left side as opposed to on the right. Since the red-bulbed strike points are all part of this cups shape, reversing the orientation of the horizontal match will maintain the shapes integrity ( A transparent overlay of the final position placed on top of a transparent image of the initial position would make this more evident). Given this, the second proposed solution would not be possible by moving two sticks only. I love these kinds of puzzles - please keep them coming!
“Don’t listen to haters” is good advice, but also understand that it’s not the gods that control the algorithm, but real actual people who click on your videos.
it was easy to skip through since you marked them anyway, well made and presented. my favorite was the use of 3rd dimension in the puzzle, I want to say I will consider it in the future when problem solving
Puzzle 6: Pick up one matchstick, light it on fire and draw a square by charring wood
You're thinking way outside the box. You may think outside the box but you must not get very far or else the cat will jump into the box!
Or, similarly, pick up one of the horizontal matchsticks, light it, use it to light he other horizontal matchstick as well (being careful not to light the vertical matchsticks), and you’re left with the number 1-another perfect square.
I'm gonna the cat @@mofleh177
Or alternatively, we can move one matchstick accordingly to make the square gap in the middle, then *_close the WALLS in_* to make a rhombus square around the matches.
Or pick up one match stick and swap for a pencil with your friend then draw the square with the pencil
Some of these solutions sound like the arguments that a lawyer would use.
Welcome to the vast, unfathomable world of ambiguous rule interpretation, where literal value is as important as actual value.
Exactly - I do NOT appreciate puzzles where the "solutions" are actually in the ambiguity of wording or in not explicitly forbidding things that would be reasonably assumed to be NOT allowed. If I have to go "yes but can I..." after your puzzle is stated, it's YOU who failed, not me.
"So how do we do this, children?"
"USE THE THIRD DIMENSION!"
"So how do we do this, children?"
"USE THE THIRD DIMENSION!"
I strongly agree. These are no puzzles, that is semantic nitpicking.
From a woodworker's perspective, the solution to puzzle one is not two cuts, unless you are using a scroll saw!
They explained what they mean by "cut"
@@MichaPawelec-tz4ub This only works with the maths solution anyways, as any tool you use to make the cut *will* remove material at least as thick as the cutting implement, leaving you with a slightly smaller piece.
But since we're doing 'outside the box' thinking... You can fix that after the fact by drowning them in water to let the pieces expand up to 6% (depending on wood).
If we’re bringing woodworking into it, in puzzle 6 what about moving the bottom stick to directly above the top stick, forming an inverted T-square?
@@stevesheroan4131 why not? if 2^2 counts, other squares could too :P
@@MichaPawelec-tz4ub "they" is incorrect
In riddle 5, i have just a small issue with the second solution : if you're allowed to move the coin with a match, i have another one using just one match : you grab a match, shoot the coin and put the match back to its place... 😂
now that we really are thinking outside the box.....
Or you can do it with just one match. Push the middle match up, till coin is outside of the cup, then move the match back to it's original spot. For that matter, you could do it with any match.
Didn’t seem like he was moving one match for the first part, looked a lot like he was a moving a match, a coin and another match together
Puzzle #5. Second solution is not solving a puzzle, rather using a trickery. Same with puzzle #6. Disappointing.
But you gotta move 2 matches not just 1. I like your solution though 😂
Me immediately after puzzle 1:
"This goes in the square hole!"
Thats right! You guessed it
Where does the cylinder go? The square hole
einstein playing as a kid
😱
That´s right. The square hole!
I assumed only straight cuts were allowed. Cut vertically down a piece that is 9x1. Rotate it this piece 90 degrees, now cut again down vertically another 9x1 piece, but you will also cut the first 9x1 piece into 8x1 and 1x1. Use the 8x1 to cover the hole in the wood which is now 10x9, and use the other 9x1 and 1x1 to make a 10x10 piece of wood.
Now I think I actually like this solution more than the original one! It also feels more straightforward to understand rather than making weird cuts like the original solution.
Aah i had the same idea 💡
Neat, but it doesn't work within the rules of the puzzle. A cut is defined as "one entry at any edge and one exit at any edge". You'd have to enter and exit several edges with the second cut.
1. It was purposely mentioned that you can cut in any shape you want
2. Your solution is not valid according to the rules
You need to pay more attention, lol
I don't think so, first cut is ok, then u place the two pieces one over the other and proceed with the second cut from the edge of both pieces, sliding the smaller piece along the cut, so at the end u exit from the edge of both pieces at the same time! So u entry one time and exit one time.
0:11 I know this one! Everything goes in the square hole.
Lmao
😂😂😂
I’m no mathematician, but I do know how to cut wood, and that’s a lot more than two cuts.
It's in 2 pieces...I think that's what they meant...cause like you said...definitely more than two cuts. XD
With the right tool it’s two cuts.
@localheroEd with the right tool it's 1 cut...XD
cuz they said a cut is considered starting from one side and ending on another. so technically that's two cuts
They're specifically telling you what they're considering a cut for this specific problem. These problems are not about technicallities, they're about reasoning and problem solving based on ESTABLISHED RULES (or not established rules, like the coins problem, it's not ambiguous just because it didn't occur to you that you could put a coin on top of others, like some people want to believe)
The say out loud sequence can go love itself, honestly.
That was the easiest one for me. Got that one and the 5th.
@@PhilipHaseldine There is a big difference between "one" and the concept of "ones". It becomes a farce as soon as you hit plurals. It must be stopped.
That one was devious because some digits represent data and other digits represent run length. It's not really about reading the sequences out loud, but about using an encoding (resulting in sequences where the run lengths and the data are interleaved without any visual clues about what is what). Deviously, what were run lengths digits in one sequence become data digits from the perspective of the next line. Pretty tricky to work that one out.
First puzzle is an example of how we place constraints on our reasoning that are not required. When I heard a "single" I was thinking in terms of one cut MOTION and not one cut ACTION of any or multiple movements. That changes how you would look at the puzzle entirely.
I also thought this way.
And yet, two-straight-cut solution exists (my another comment)
You are arguing those constraints are "not required" because you're using the solution as a starting point for your reasoning. Those constraints are the consequence of purposely limited communication. The terms you use, "motion" and "action" can be described in different ways too. To me, and for most people, "a cut" has to be a line. And the person who wrote the puzzle is taking advantage of that fact. "Outside the box" puzzles are mostly about deceit rather than actual logic.
Take the 2 matches to make a square example, it's practically impossible to make a perfect cut on a match by "only moving" one of them. You would require some kind of tool, which already conflicts with the "only move one match" part of the rules.
I think a better advice in life is never forget common sense. The box doesn't exist.
@@Miscio94 Fair point...but I guess the way I look at it is...whose fault is it that the deceit works? The author of the puzzle? Or mine?
However, I do agree that I would not consider that a true "logic" puzzle the proper sense, as it requires a certain degree of presumption regarding the framework of the rules rather than a purely logical assessment of the puzzle.
Exactly. It's a typical Presh problem. He presents a problem with limited information then uses information that would normally be available in the problem to solve it. I'm just happy I got him to stop saying Goooguuu
I thought that too, but then it does say edge to edge, so you could turn it different angles in the same cut (if you were skilful enough with scissors)
#1 is a good one. However I would argue that it is cheating since you cannot make a 90° turn cutting wood. Therefore it is not two cuts. "2 cuts" implies putting your wood down on a bandsaw and making a cut twice.
They stated that the cuts can be any shape you want, and this is a video about "thinking outside of the box" problems anyways
@@matemindak384 true. It is truly "outside the box" if the laws of physics do not apply
Just use a wire saw.
You could make cuts like that with a laser or water jet as well, although the former may cause your project to combust prematurely
Well the definition of what counts as "a cut" was clearly given, so maybe the only possible improvement is to call the material "imaginary material" and the cut "imaginary cut" to avoid such semantic debate. (One could also argue that a cut in any material removes material so it is impossible to cover the hole).
For puzzle 6 I would have broken one of the sticks in two and used the halves to make a square.
It's possibly the best solution if the question specifically called for 3 matches to make a square. Also, not a fan of both solutions shown here. One requires that specific set up for matches. The 4 solution is pure semantics.
my solution: just take away ANY if the 4 & throw it out.... you're left with not just 1 square BUT 2! (so that's a two-fer)
and by "squares* i mean angles, NOT geometrical shapes
💁🏻♀️ now THERE'S some real "outside of the box" thinking for ya!
😉 you're welcome
@@sdgdhpmbpsemantics solution ARE outside of the box, and lovely ones too
My thought on the wood covering hole puzzle, is the wood exists in 3 dimensions, just do a planar cut and have two pieces of the same area but half the thickness.
Nice. Thinking out of the square.
Unless I am picturing your solution incorrectly, that is only 1 cut, but the problem says make 2 cuts. But I like your thinking.
@@cguy96 OK, now cut the wood into 3 instead of 2.
@@butternerd-sz1nw ok, but now I get hung up on “edge”. When you cut in half (or thirds), you are going to hit the edge in the center. It’s not well defined for me what cuts are allowed.
The cut you suggest is both hitting an edge as I understand the meaning AND still in the wood.
My brain hurts (but I got 2-6 first).
but u still cannot cover the hole completely even if you cut like that. The 2 pieces of wood still have hole in the middle
On puzzle 6, I was screaming and swearing at the screen when he made the little square gap with the matchsticks, "NOOO!!! MAKE THE NUMBER FOUR!!!"
Then he did it. It was very satisfying.
Yeah, I thought the intended solution was making it a perfect square number too. Pretty happy to see it in the video.
But the animation is wrong when he made the number 4 he didn't have the puzzle set back to the original setting and the long vertical part of the 4 shows a gap between the matches so that would indicate that 2 matches were moved to make that 4 if it was set back to the original and then one match was moved to make the 4 then it would be fine.
@@Eric-mx1ehParty pooper
I was thinking you take one match, break it in half to make a right angle, then use that to make a 1/2 x 1/2 square. Sure there’s stuff besides the square but you still made a square.
@@xane256 I was Thinking the exact same thing!
I do not know if anyone has already said this, but the first puzzle can also be solved by doing a vertical cut 1 unit from the edge. if you then rotate this piece and move it to the bottom of the wood so that the former top of the piece is now at the uncut side, you can make a new cut similar to the old one, another vertical cut 1 unit from the edge. however, this cut will also cut our other piece, making it 8 units long. This piece now fits in the hole of the wood! And we are left with 2 pieces, one with length 1 width 1, one with length 9 width 1, and the wooden structure being length 9 width 10. the 2 pieces can be moved to make the entire structure length 10 width 10. Really happy I found this solution :)
This is a much better solution
puzzle 1: given that a cut is define by coming from one edge and getting out at another edge, nothing stops you from cutting in loops inside the wood, so you can have as many detached blocks as you like, which (i assume) makes the puzle much more trivial : just cut a bunch of one by one square by looping over the same continuous cut line before your first exit, and you can rearrange them how you want
TWO CUTS ONLY
Cutting out any one piece would be considered one full cut as you intercept a path you previously cut -> a new edge.
For puzzle 5
Label the matchsticks on the sides as A&B(left to right), the horizontal one as C and the last one as D. Move C in the left direction at half a length of a matchstick. Then move B parallel to D towards its left. The result has the same shape of a cup but upside down(no restrictions mentioned) and the coin is outside.
That is how I did it
Exactly, I wanted to write a comment how to solve it without cheating (moving a coin is cheating) but I've checked comments section before not to create duplicates and found your answer. :)
Before: |_'_|
|
After: _|_'
| |
@@AndrzejMPSame here! Great minds think alike.
puzzle 5. my son's thinking out of the box: make cup upside down and coin will drop down by itself
Exactly, same as my solution
I'm 48 and that was my answer too
But you still didn't moved 2 sticks 😂
@@RealisticBro77 you can turn it upside down by moving two sticks, without touching the coin. So as a 2 dimensional puzzle it makes sense.
I did the same thing but then i realized it was still in the cup lmao-
I love the puzzles. The first one feels like some carpenter was trying to cover up an opening with a random piece of wood and found a great solution for it.
Puzzle 4: A star of David is also a solution. Even though it makes 8 equilateral triangles, the puzzle's wording does not preclude making more than 4, just that you have to make 4.
Law & math -- I like it!
How do you get triangles with sides of 1 matchstick length?
@@jestbone89 You're right. I somehow missed the part about the sides being a full matchstick length
Also you can make two equilateral triangles, flip one and overlay them. You also get a diamond in the middle, but the rules didn't say I can't make a diamond!
The second puzzle is like "think outta the box" reasoning.Gracias amigo.
Being a pedant, but wouldn’t the piece of wood fall in the hole, being the same size as it?
Doesn't say how deep it is?
If they share the exact same dimensions then no. The wood would have to have a smaller perimeter
That's right! It goes in the square hole
That's why God created duct tape. 😄
If you cut a 10x10 piece out of the middle of a larger piece, the 10x10 piece will fall through the hole it just vacated.
Further-this new wood hole covering isn’t a single piece-it’s two odd-shaped, detached-from-each-other pieces. They will fall apart and fall into the hole.
2:43 Nepal for the win 🇳🇵
I loved these puzzles. I got 2 and 4 pretty much immediately at a glance, but my next closest was 3, where I needed you to get pretty deep into the explanation (about how to group the numbers) before I got it. Didn't get the others at all.
For puzzle one, you may cheese it a little if you didnt understand the rules:
First you cut a 9*1 bit of from on of the edges
2. Put it next to the big piece
3. make a cut through both so that you get a new 9*1 but also a 1*1 and a 1*8.
4. arrange as obvious :3
This is the best solution of all!! And it is the only one who would work in practice, with two wood cuts. Congratulations on your reasoning ❤
alternative solution to puzzle 1: cut a 1x9 strip on the right side of the wood, put it over the hole in the wood with the 1x1 in excess on the right of the hole, cut a second 1x9 strip on the right cutting also the 1x1 excess of the first strip (this is one cut, more so than a zigzag cut, we would use a circular saw only once), use the 1x8 to fill the hole in the wood and the 1x9 strip + the 1x1 piece to complete the square at the top or bottom
Yeah, that's a way more legitimate definition of "a cut" when it comes to wood. (Even though, like any solution this of course also assumes a mathematical zero width saw to avoid any waste).
If one allows 90° turns inside inside the wood to count as one "cut", as this video's solution; then one must be using a (magically thin) laser cutter or water jet and define "a cut" as turning the cutting beam on and off; but if that's allowed; then you could also just keep the cutting beam on while moving through the hole in the middle, meaning it really could be considered "one cut" rather than two. But if you are using a real world physical saw then the solution in this video would require 14 cuts and 12 turns that probably would require you to drill a hole at each corner first to be able to turn the saw; and because no saw is infinitely thin you would have to make up for the gap with a lot of wood filler.
This is the best solution of all!! And it is the only one who would work in practice, with two wood cuts. Congratulations on your reasoning ❤
That doesn't follow the rules of the puzzle, but the zig zag is meaningless, you can do straight cuts on an angle and get the same result. Just picture a straight cut through the zig zag, both on the same angle and ending at the corner of the center opening.
I didn't could do the first one, and I already knew the others, nice compilation!! Thanks for the content!
Is the "Look and Say" sequence a destruct code for a Federation starship?
The look and say one was by far the easiest for me
1 Puzzle: If its laying flat on a table, cut it horizontally, so you get two thinner copies of the original, move one in the directions of the 12‘ edge and you have a full coverage square 10•12. (i know thats forbidden, but it wasn’t stated to be)
I had a different solution for number 1 because it did not say we could rearrange the wood.
First i cut a 1x9 strip of the left most side of the wood (also possible on the rightmost side)
Now i have an 11x9 with a 1x8 hole and a 1x9
Now i slide the 1x9 at the bottom of our 11x9 witha 1 x8 hole at the bottom in a landscape orientation so that we have an 11x10 with the original 1x8 hole and a bottom right hole 2x1 hole
Now, i make another 1x10 cut from the left, so im left with a 1x8 since the 1x9 was also cut and i use that to fill the hole and there was another 1x9 cut with a 1x1 i stuck them together to make a 1x10
So i have a 9x10 stuck with a 1x10 making a 10x10
If you disagree with this solution since im technically cutting two edges thats fine and i understand, but i would reply with i could paste glue after making the first 1x9 cut attaching the 1x9 to the big piece of wood by sticking the 1x1
I have a different solution in puzzle 5 if we push the only horizontal stick to right horizontally so that the bottoms of both the horizontal and the downwards facing stick, at this position the upside facing stick on right will be at mid point of the horizontal stick. And now just move the last upside facing stick on the left to the head of the horizontal stick :)
Puzzle 1: I'll make 2 L-shaped cuts. Rule interpretation = The wood board has only 4 edges. I start at an outer edge, cut through the middle hole to an outer edge. The 2 cuts will overlap, resulting in 4 rectangle pieces that will fit the 10x10.
My 4 pieces are 8x2, 2x1, 10x4 and an L-shaped piece. (So only 3 rectangular pieces - sorry)
Puzzle 1: Had a rough time visualizing and gave up because I am too tired xD
Puzzle 2: Took some objects to build it in front of me. Had to shuffle them a bit around until I found the solution to put two on top.
Puzzle 3: Makes sense how you explained it, but I did it differently. I was like first row is a 1. So we have 1 times 1 (which builds second row). That again is 2 times 1, which is then the third row and so on. Same result in the end.
Puzzle 4: That one was easy for me. Was immediately thinking of a dice in form of a tetrahedron xD Having a dice collection payed off here ^^
Puzzle 5: This one was a regular puzzle I came across as a child, so I knew that one because of earlier solvings in my life :D Interesting second solution. It wouldn't have been allowed in the one I knew, because the first move, moved a second matchstick from it's original position. In the version I know it's specified that you should pick up the matchstick and put it into a new position.
Puzzle 6: Took me a bit longer, because I didn't see the lines properly, but when I made the video fullscreen, I saw it quickly :D Another interesting second solution!
Puzzle four was easy because of my misspent D&D-playing youth. (Four-sided dice...)
Same!
You’re incorrect. It was easy because of your well spent D&D playing youth. 😊
Scary thing for me was not being able to remember the word "tetrahedron" because all that was coming to mind was "d4". 😆
It's also easy if you know the molecular structure of diamond (and silicon carbide).
caltrops of doom!
I found a more simple solution for puzzle 1:
- First cut: straight cut from the top after the second imaginary column to get a 2x9(w x h) rectangle
- Second cut: cut a 2x1 (w x h) rectangle in the last two column . It's 1 row above (or below) the 8x1 hole
We can combine the rest two parts together to have a 10x8 rectangle, then add 9x2 and 1x2 to get final square.
Riddle 1
"think out of the box"
the riddle do not forbid you to cut along the edge(s)
imagine first cut around "1"-s from right in between last two columns
(the internal edge included)
then cut around the '2"'-s
youll get 2 bars of 8 + 1 bar of 2
1 of the 8 bars go in the whole
the next to makes a 10
0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 1 0
0 0 1 0
0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 0 0 0 2 2
Touching any edge, including the internal one, ends a cut.
@@daniskaoz It is not stated you cannot cut along the edge
Even in the proposed solution, man can cut along the edge from the top left corner until the moment is going 90 degree. It is not forbidden.
That's what I though of too but on the other side
@@larieu That's not where the cut starts, though. It enters at the edge, it never traces along an edge. I think legal cuts have to be doable without cutting along an edge, otherwise you could make all kinds of wild cuts by tracing along the outer edge once you reach it.
@@larieu Not quite. The solution's cut begins when it enters the figure and ends when it exits through an edge, any further lines did not alter the cut's result. If you cut along an edge you're cutting outside the figure.
Puzzle 1: I did suggest a zigzag pattern for the bottom and upper half separately but I didn't come up with the 1:2 hight-depth-ratio.
Puzzle 2: Take the middle 2 coins and put 1 each onto the middle of the trio coin groups, easy.
Puzzle 3: Already seen; Numbers are counting the number of a digit; "111221 = 3 1's, 2 2's, 1 1"; Next is 13112221.
Puzzle 4: Tetrahedron (has 6 edges, 4 faces).
Puzzle 5: Already seen; (has 2 symmetrical Solutions) Take the middle matchstick and shift it half a length right- or leftwards; The disconnected Stick at the top can be put 'diagonally across' (top right => bottom left // top left => bottom right) => to rebuild the cup.
Puzzle 6: (Also already seen I guess;) take the top stick and shift it upwards by 1 width.
Man, I'm feeling spart (or like someone that's consuming too much UA-cam)
I came up with a different solution to the first puzzle, but it only works if you allow that cutting exactly *along* an edge doesn’t count as *exiting* the edge. This would be impossible with an actual saw, but I think it should be valid in geometry puzzle land.
Cut #1: enter the rectangle on its left side, 4 units down from the upper-left corner. Cut straight to the right until you hit the upper-left corner of the gap in the center, then turn ninety degrees clockwise and cut straight down, following (but not crossing) the left edge of the gap until you hit its bottom-right corner. Then turn ninety degrees clockwise again, and cut straight to the left until you exit the left edge of the rectangle 1 unit below where the cut began. This has the effect of extracting a 2×1 rectangle (let's call it A) from the middle of the left side of the 12×9 rectangle.
Cut #2: enter the rectangle on its top, 2 units to the left of its upper-right corner, and cut straight down until you exit its bottom edge 2 units to the left of its bottom right corner. This cut also follows (but does not cross) the right edge of the inner gap for 1 unit. This has the effect of separating the remaning wood into three pieces: a 2×9 rectangle from along the right side of the 12×9 rectangle (let's call it B), and two 10×4 rectangles left over from the top and bottom (let's call them C and D).
Finally, rotate A and B by ninety degrees so that A now appears 1×2 instead of 2×1 and B now appears 9×2 instead of 2×9. When placed next to each other horizontally, they cover 10×2 (let's call this shape AB). Stack C, AB, and D vertically. They are all 10 units wide, and their heights are 4, 2, and 4, which also add up to 10, thus covering 10×10.
It is impossible to completely cover the square hole in puzzle 1. Any 10x10 square would just fall to the bottom of the hole (assuming no friction) and the hole would still be there. You need something at least slightly bigger than 10x10 to cover the hole. Unless the depth of the hole is the same as the depth of the wood, however neither of them is specified. This is the only correct answer for want of a better question.
No, the starting piece would have to be bigger. It asks you to cover the hole, not fill it.
So cut through the center laterally to form two pieces with half the thickness and put these on top of each other with a slight shift so that the hole in the wood is also covered. Easy peasy japanesy
Puzzle 4 : firstly make a square (4 sticks) and draw two diagonals (with remaining 2 sticks) now you'll get 4 equal triangles 🔺️😊
I had this same thought but then realized the diagonals would require matchsticks of size sqrt(2) so they wouldn't be big enough, and also not all sides would be size of 1 matchstick
That would make 45-45-90 right triangles where none of the sides are 1 matchstick long, not 60-60-60 equilateral triangles where every side is 1 matchstick long. (Text said "equal," but Presh said "equilateral.")
For the first puzzle, there's another way of doing it that "makes more sense" with the context in that a cut is defined as a straight line across the shape.
Basically, we can make a vertical symmetric cut at the middle. Then, we "stack" the two symmetric, and we cut it into two "L" shapes and two 4x6 rectangles.
Those pieces can be put together to form the 10x10 square.
Now, THAT is thinking outside the box! Well done!
I don't understand this solution.
@@UA-cam_username_not_found @UA-cam_username_not_found
I'm not sure about which part you don't understand, the cutting part or assembling part?
As for the cutting part, you firstly do like a vertical cut at the "middle" of the shape which will give you 2 symmetric pieces. Then, you can "stack" one piece on top of the other, and then you cut the middle.
That will give you two "L" pieces and two 4x6 pieces.
For the assembling part, I drew the 10x10 square with my keyboard (I hope it's readable). Between every two point count is a segment of about same length.
Below is one way of assembling (there could be many others). The pieces are delimited by the countours.
. . . . . . . . . . .
. . .
. . .
. . .
. . . . . . . .
. . .
. . . . . . . .
. . .
. . .
. . .
. . . . . . . . . . .
The shape should load correctly if you read the reply on a computer.
@@somewhatblankpaper1423
OK thank you so much 😄for this explanatory response and the clever visualization!
However, your solution doesn't follow the rules of the puzzle as the 2 cuts you chose both pass by the hole which would make each one of them actually 2 cuts and thus 4 in total which exceeds the required amount.
Nevertheless, your solution was interesting to see.
@@UA-cam_username_not_found
I see your point, but I thought like a cut starting at any edge and exit from any edge as in I can choose which edge I start with and which edge I end my cut at.
Puzzle 4: Make two equilateral triangles, place them on top of each other BUT invert one of them. Nobody said I can't make a diamond as well as four triangles :P
The puzzle 4 said "you allowed to use glue" which lead me to think 3D
1) The first one is easy, although I've probably encountered a similar question before, a long time ago. I think the question I saw was the other way around: cut a 10-by-10 square into two pieces, such that those two pieces and a 1-by-8 piece can completely cover a 9-by-12 rectangle.
If the 10-by-10 square is projected onto a Oxy coordinate system (horizontal x-axis pointing to the right, vertical y-axis pointing up), with O = (0,0) , X = (10,0), Y = (10,10) and Z = (0,10) being the vertices of the square, then define points A = (0,1), B = (2,1), C = (2,2), D = (4,2), E = (4,3), F = (6,3), G = (6,4), H = (8.4), I = (8,5), J = (2,5), K = (2,6), L = (4,6), M = (4,7), N = (6,7), P = (6,8), Q = (8,8), R = (8,9), S = (10,9) .
Then cut the square along the straight line segments connecting ABCDEFGHIJKLMNPQRS .
2) Take the middle two coins (the third from the left in the top row, the second from the left in the bottom row), place each of them _on top of_ one triangle (covering the center of the triangle).
3) The last displayed row is 312211 . Just call out what you see: "one 3 , one 1 , two 2s , two 1s". So the next line will be: 13-11-22-21 , or (without the hyphens) 13112221 .
4) Again, think 3-dimensionally: create a tetrahedron.
5) Move two matchsticks so the matchsticks form an upside-down cup: move the middle matchstick a half-length to the right, move the top-left matchstick to the bottom-right.
6) Move the right-most matchstick to create the figure 4 .
Yep, I solved all six puzzles.
To be honest, the last one was the most obvious one, the others on the other hand, were not so obvious
I'm not usually that good with puzzles but here I saw 2,3,5 and 6 immediately and got #4 when he mentioned glue.
I didn't get the first two puzzles, but after number 2 I thought "oh so that's how it is huh?" and managed to do the others
@@ric6611Yep.. in these videos, “thinking outside the box” typically means to find loopholes, and you can really only find loopholes in a problem when the constraints of the problem are very vague…
For me it was #3. I figured the solution to that one immediately.
Coins was the most obvious
Puzzle 1 can solved in a single cut - make a rip-cut so you have two identical, but thinner, boards, and overlap them to cover the 1x9 hole. As a bonus, this covering is larger than the hole, so it can't fall in.
For the last puzzle, moving one matchstick to make a square:
Pick up one matchstick. Light it. Use the lit match to light up a joint. Pass the joint around the group. The one person (there’s exactly one in every group) who refuses to take a puff-he’s the square.
haha
Here's a puzzle for you (that I like).
A sadistic jail warden has one hundred prisoners. Every day he brings one prisoner into an interrogation room to be interviewed. The order is completely random, but he does promise that as time approaches infinity he will interview all prisoners infinitely often. He will not just take one prisoner but will eventually get around to everyone, but he can interrogate the same prisoner for 50 years before moving on to the next one..... and then coming back to this first unfortunate soul. In short, for any point in time,if this whole thing is allowed to continue, each and every prisoner is guaranteed to be interrogated some time in the future, and then again, and again, and again, but it can take years between the interrogations.
In the interrogation room there is a light bulb that is switched off from the start. The warden promises that he will not mess with the light, but when a prisoner comes in he will find it in whatever state the previous prisoner left it in. He can play with it as much as he likes during the interrogation, but must leave it either on or off for the next prisoner to find.
The warden promises that if, at any point in time, if anyone comes in and says that all prisoners have been interviewed, and is correct, then they will all be let go.... otherwise they will all be shot. They may form an initial strategy in the court yard before the whole ordeal begins, but once it all starts they will all be in solitary confinement with no means to communicate with each other except for using the light bulb in the interrogation room.
Is there a strategy that guarantees all prisoners safe release?
It's gonna take me about 10 days to get my head round this...but I'll come back to it
If the warden interview everyone as time reaches infinity just go in and ask the warden has time reached infinity yet. If the answer is yes then say everyone has been interviewed
The first time each person finds the light off, they turn it on. One person is chosen to turn the light off whenever they find it on. This person counts the number of times they have turned it off. On the hundredth time they find it on, they know that everyone has been interviewed.
@@PinesmokeArt and that is the correct answer. It is also possible to solve if you do not know the initial state of the bulb
@@PinesmokeArtso, if I understand this right, the logic flow would be : for a regular person, if they find the light off AND they have yet to turn a light on, they turn it on; otherwise if light is on they leave it on, or if light is off and they have switched it on previously they leave it off? And for the counter: if light is off, leave it off; if light is on - turn it on and add 1 to total; when total reaches 99, announce all people have been interviewed and request freedom? And the counter person is acting as a form of logical arithmetic accumulator…?
Puzzle 6: Take any match, break it in two and put one piece vertically to a match at the middle of it. Similarly put the other piece at the middle of the other match so that the ends of the two small pieces touch each other.
Outside-the-box solution to the first problem. Make a single cut along the top so that you have a long thin right triangle of height 12 and base 1. Stick the point in the ground in front of the hole and glue the remaining piece of wood to the top to make a sign. Print on the sign "please watch out for the hole."
Job done!
Alternate solution, do that same cut but use the resulting shapes to turn the hole into a spike trap. That way, no one survives the hole long enough to complain about it being there.
These riddles make me feel intellectually challenged...
puzzle 1 question: if we cut off a piece, place the cut piece on top of the remaining board before making the second cut, does that count as an entry to one edge, or two edges?
Puzzle 1 is achievable with *2 straight cuts*!
Solution:
1) Cut the right column (1x9)
2) Cut one more right column (1x9), but before executing the cut take the piece from step #1, rotate it 90 degrees and align it so this cut will also split it into 8x1 + 1x1.
Now we have:
+ Original piece without two right columns
+ 8x1 (fills the whole in the original piece)
+ 1x9 + 1x1 (produce extra 10x1 row)
Easy, solved in a couple minutes:)
#1 think 3D as well - cut it in half in the Z dimension, then the two (thinner) 12x9 pieces you wind up with can be laid on top of the hole offset by 1 unit in the Y dimension, so that you have a 12x10 stacked sheet with the 8x1 holes in sheet 1 covered by the second sheet, and vice versa. (Dimensions reference: X is left-right on screen, Y is top-bottom on-screen, Z is the offset from the plane of the screen)
You can technically cover up to a 12x17 hole with this method, I think.
So almost none of them have an actual solution but are based on the wording
When you said that one can use glue for puzzle 4, the puzzle became way too easy.
As for last puzzle, I wondered how when I saw the thumbnail, but in the video I saw the outlines of the matchsticks and thought of moving the upper matchstick slightly up. Nice video :)
With every question I hoped for a clever mathematical solution. I was disappointed with mainly solutions that "lawyer" the problem statement.
This way I can move the coin outside of the cup "without moving a match": I just move the coin :/.
4/6 👍
But you should add the point that we can use 3rd dimension in puzzles
Probably overthinking this but for the 1st one it won't cover the hole since the cut board and the hole are the same size it will fit into the hole and not cover it. In order for the piece to be able to cover the hole and stay in place in needs to be bigger then the hole not the same size as the hole. Also the last puzzle you did the animation shows moving 2 matchsticks you moved the one matchstick to make the square at the ends between the gaps and then when you showed the second solution you never put the puzzle back to the beginning so you then when you made the 4 the long vertical line of the 4 there is a space between the 2 matches which means that 2 matches were moved to make that 4 but the audio description you gave for the solution is correct if you begin with the original layout of all 4 matches touching at the ends.
Puzzle 1: Add duct tape to reassembled pieces? 😊
my solution for 1 is: cut the far left or far right side from top to bottomn, now take the 1 by 9 piece and put it on the top or on the bottomn of the block to eather the left or right side so that it is not sticking out but also not in the middle, now cut on the side that you put it from top to bottomn again so that you also cut trough the first piece, now you will have a 1 by 8, a 1 by 1, and a 1 by 9, and the main piece will be 10 by 9 with the 1 by 8 hole in it, now put the 1 by 8 in the 1 by 8 hole now you will have a 1 by 1 a 1 by 9 and a 10 by 9, put the 1 by 1 and the 1 by 9 on the top or bottomn so that they are not sticking out and you got a 10 by 10
I = cut, 0 = nothing, 2 = just put here and 1 = wood
9x1 + 1x1
1, 0 00000000000 2, 02I2222222222 3, 002222222222
1I11111111111 01I1111111111 001111111111
1I11111111111 01I1111111111 001111111111
1I11111111111 01I1111111111 001111111111
1I10000000011 01I0000000011 002222222211 8x1 in 8x1 hole
1I11111111111 01I1111111111 001111111111 in 10x9 with
1I11111111111 01I1111111111 001111111111 9x1=1X1
1I11111111111 01I1111111111 001111111111 on top =
1I11111111111 01I1111111111 001111111111 10x10
If the thumbnail puzzle pic is NOT the puzzle shown. I'm not watching. This is why I clicked the video and you put that puzzle last. I'm out....
at least he put it in the video... some people just dont even do that...
There are plenty of youtube videos where this would be a fair comment, but when the first three words of the video title are "6 impossible puzzles", you're whining about nothing.
Plus you did watch through, finding the desired puzzle. 🧩
There’s even chapters with thumbnails
the video even has chapter markers, and if you look at the thumbnails of the chapters you can see that the 6th puzzle is the one from the video thumbnail, and you can tap to jump right to it…
For riddle 1 : Let's assume x and y coordinate, where the origine of it is the bottom left side (i.e. the top right corner is (12;9)). Start the first cut from (2;9) down to (2;1) and make a 90° turn to the left to finish the cut in (0;1). Then, make a second cut from (1;9) to (1;0). You are then left with two 1 by 8 rectangles, two squares of length 1 and a 10 by 9 rectangle with a 8 by 1 rectangle missing in the middle. You then put one 8 by 1 in the 8 by 1 gap, and move the last 8 by 1 and the two squares to the bottom of the resulting rectangle, leaving you with a 10 by 10 square, covering the hole ! I hop my answer was clear enough ^^
Puzzle 6 was solved when I was a child in Korea about 50 years ago.
Puzzle 1: just make 2 rectangles of 4x10 what youll left with will be 2 rectangles of 2x5 and that you can fit in.
From your boxes that you made at 2:00 leave first 2 boxes and take the cut to the hole covering 4 boxes vertically and take it to the end 10 boxes.
And the next cut will be bottom 4 lines till the 10th line.
Far easier solution to Puzzle 1:
xxxxxxxxxx oo
xxxxxxxxxx oo
xxxxxxxxxx oo
xxxxxxxxxx oo
oo oo
oo xxxxxxxxxx
oo xxxxxxxxxx
oo xxxxxxxxxx
oo xxxxxxxxxx
Cut once left-to-right, entering the left edge 4 units down from the top, going straight over into the hole, dropping down one unit to the bottom of the hole, and exiting straight out of the hole to the right edge 5 units down from the top. Then cut top-to-bottom, entering the top edge two units left from the right corner, going straight down into the hole, moving left to the other side of the hole, and exiting straight down out of the hole to the bottom edge 2 units right from the bottom left. Those 2 cuts create 4 pieces: 2 pieces that are 4x10 and 2 that are 5x2. They easily form a 10x10 square:
That is 4 cuts. "Entering the hole" means exiting the shape through an edge, which completes the cut, according to the rules of the puzzle. You can't continue the cut through the hole. You start a new cut.
@@softy8088 I rewatched the video to see how you could interpret the wording that way, and I see that this video indeed only made "one cut" according to the best interpretation of the wording, so from this video's (and your) interpretation, you're right. From the proper interpretation, however, I am right. The instructions are to "enter" and "exit" from the piece of wood by making cuts. You don't exit the wood by having your cut end at the center of the wood. And most puzzlers don't consider a hole in a figure to be an edge of that figure. Cutting implements (hand saws, table saws, etc.) can neither enter nor exit at the "edge" at the tiny hole in the middle. Every reasonable interpretation of the wording is that you start each cut "outside" the piece you're cutting, and cut "into" the piece, and eventually emerge back outside it. Again, though, I agree that the video does support the interpretation you're taking.
@@softy8088 Incorrect, as I already explained.
My solution for puzzle 5. Simply move the horizontal match up level with the top of the two highest vertical ones, then move the lowest vertical stick above it. As we are allowed to "think outside the box" then the only thing keeping the coin in the cup in the starting position is gravity. By now inverting the cup, the coin falls out. OR you flick the coin with the second stick before resting it down. Fulfils the criteria :)
These are not out of the box solutions. This is just "erm, actually the rules never said you COULDN'T do that 🤓"
That's the point of those puzzles, kid
I solved two: Puzzles 4 and 5. For number 6, I would suggest to change the puzzle to read: "Move one stick to form two square," purposely omitting the "s' in square to form the number four, or two square.
Puzzle 1: If you define an edge as an interface between wood and blank (the thing in the middle of the piece) you can cut the last column out, then arrange it such that when you cut the next last column the previous column's head gets intercepted and a square gets cut off.
The rearranging part should be obvious.
For the 4 equal triangles you can use another trick: put two of them overcross as a plus symbol and put the other sticks on the outside. Now you have 4 equal triangles in a square
that's what I did lol
Those puzzles are so out of the box ... Thanks for that !
I spent some time trying to find a easier way to solve the first one. First, you cut both the 2cm sides , one of them the full length (9cm) and the other with 8 cm, you want to leave 1cm on one of the other parts. Then you'll have 4 pieces, one with 2x9, another 2x8, another 8x4 and another 8x4 plus an additional 2x1 on the side, that has to be cut in a way that the bottom part sums up to 10cm. So , what you do is put the normal 8x4 on top, rotate the 2x8 so you'll have 8x2, put it in the middle (you can go either way), so we'll end up with a rectangle with 8x6. Then well add the 8x4 with an additional 2x1 on the bottom, that makes 10x8, and well end up with a space of 2x9 on the side because of that extra 2x1 in the bottom. That's exactly the other piece we have cut, and that completes the puzzle in the simplest way possible
in riddle 1 it doesn't state that a cut creates new edges so if you're willing to bend the rules a bit there you can go for this solution:
suppose that the rows of the grid are numbered 0-9 (bottom to top) and the columns 0-12 (left to right). 1st cut - start at (1,0) -> (1,1) -> (2,1) -> (2,0). 2nd cut - start at (1,9) -> (1,1) -> (2,1)-> (2,9).
we end up with the following pieces: 1x8, 1x9, 1x1 and a 10x9 with a 1x8 hole.
fill the hole with the 1x8 to create a 10x9 and combine the 1x9 and the 1x1 to a 1x10. then add them together to make the 10x10.
P1: I knew, that there must be a diagonal zigzag cut, but i did not knew where excactly...
P2: Got it :D
P3: Got it :)
P4: 3sided pyramid...
P5: For me flipping the cup is the more logic way to solve it...
P6: now you got me... :D
I got 4,5,6. Thanks for sharing!
In puzzle 3 answer can be derived by occurance logic starting from unit digit. So 1 occur 1 time so 11 . Now 1 occurs 2 times so 21. Then 1 occur 1 time 11 and 2 occur 1 time 12 hence 1211. Now last was 312211 then 1 occurs 2 times 21 ,2 occurs 2 times 22, 1 occur 1 time 11 and 3 occur 1 time 31 hence ans is 13112221.
In puzzle 5 we can make glass upside down though it bounds the same area. Coin will fall by gravitation
In puzzle 4, there’s another solution. You take 2 stick and put them in parallel, then, three-dimensionaly put above another two sticks in parallel again, on a way so it looks like a not started tic tac toe game. Then put above the other 2 sticks diagonally so it forms a square with an X in the middle forming 4 triangles, equal sized one from another.
Alternative solution for 1 which only uses straight cuts:
1. Cut a 1x9 off of the right side. Take this cut piece, rotate it 90 degrees, and place it along the top edge all the way to the right.
2. Cut another 1x9 off the right side, and while making this cut, the saw will follow through to also cut the previous 1x9 piece from step 1, attached to the top. The piece from step 1 is now 1x8 and a separate 1x1.
3. Arrange into a square. The 1x8 fills the hole in the center, and the 1x1 + 1x9 together complete the top edge.
If you allow cutting it that way in puzzle one, I'll make 2 meandering cuts in a snake-like pattern, one running up and down, one running left and right. The back and forth are 1 unit apart. Leaving 100 small squares, which I will then push together to form the 10x10 square.
Not much of a puzzle now but definitely a surprising solution.
Here's another solution with zero cuts. Push the entire piece of wood into a disk/belt sander, collect all the dust and mix with adhesives before compressing it into a 10x10 square and let it set. Surprising solution indeed.
You don't even need to cut the wood. It can cover the word "hole" as it is.
I solved all, also I used creative way for number 1 puzzle - cut left or right side (doesn't matter which) to get 1x9 piece. then cut again left or right side to get another 1x9 piece, but this time, firstly, put already cut 1x9 piece so when you do second cut, you also cut out 1x1 piece from the first piece. so technically you do 2 cuts but get 3 extra pieces - 1x1, 9x1, 8x1. use 1x8 to cover the 1x8 hole, the 1x9 and 1x1 connect to get 1x10 you put at the bottom of shape. result is 10x10.
شكراااا ،يا تالوالكار ❤❤❤❤
Easy
Puzzle 1: ~1 min to find alternative solution (my another comment)
Puzzle 2: ~3 seconds
Puzzle 3: I knew about it
Puzzle 4: ~3 seconds, solved even before he mentioned "glue"
Puzzle 5: ~5 seconds to flip the cup upside down, which I thought is enough because of gravity
Puzzle 6: ~3 seconds by using the "cheating technique" from Puzzle #5 second solution in the video (I'm surprised he didn't mention it as an option to also solve #6)
I was able to solve Puzzle 2 to 6, but Puzzle 1 was too much for me :D. Nice video, MYD!
Puzzle 5. Move the horizontal match up on top of the 2 verticals ones. After this there will be a match that is not touching any other matches. Move that one up on top of the one that you have just moved in the previous turn. The coin will drop out the cup because of gravity.
Puzzle 1: did it a bit differently. Take bottom left corner as origin (0,0) and the cuts are described with the points through which they go. You get the cut when the adjacent points are connected by staright line.
Cut 1: (10,9), (10,8), (11,8), (11,0)
Cut 2: (11,9), (11,8), (10,8), (10,0)
Small part of the cuts overlap which wasn't explicitly forbidden in the puzzle, but let me know if you consider this a bit of a cheating.
12:22 he moved 2 sticks omg
😂😂😂yeah but that's because he didn't put the other one back
I managed to solve all the puzzles within a minute or 2, except for the 1st one (cant solve). 1st one was the best puzzle, genius solution
Puzzle 1: Cut 1x9 off of right hand side, use this to cover 1x8 hole with 1 square overlap. Then cut 2nd 1x9 piece from right hand side which also slices through overlap giving a 1x1 piece then both of these can be placed at bottom to make 10x10.
.Move the match down so there is a space in the intersections in the shape of a square.
For answer 1, you can make the cut at an angle instead of zig zag if I'm not mistaken. I believe it will work the same and that is how I expected it to be done. I didn't even think to zig zag the cut. (From top right of middle hole to top left outer corner and then the other cut from bottom left of middle hole to the bottom right corner.
Puzzle 1, if we are precise, two L-shaped cuts create four pieces. From (0,4) to (10,4) and down to (10,0) lops off a piece that is 10x4. Symmetrical cut from (0,5) to (10,5) up to (10,9) creates another piece that’s 10x4. What remains is 2x1 and a 2x9 which are rotated 90 degrees. As long as a cut across the inner rectangle’s side is not considered exiting the inner edge since the saw blade coincides with the edge …
Before seeing the answers:
1) Cut the wood to cover the hole.
Cut the wood along the plane, creating two thin copies of the wood. Then place them over the hole blocking everything. If we have to have a second cut, cut the corner off one or something.
2) Make each coin touch three other coins.
Take the two coins from the middle and stack on on top of the tree on the left and the three on the right, making two non-touching little pyramids of coins.
3) What comes next?
More numbers.
4) Make 4 triangles with 6 matches.
Build a little pyramid out of the matches.
5) Move two matches so the coin is outside the cup.
Use two matches to push the coin away and then put the matches back in place.
6) Move one match to make a square.
Push the other matches around with a match until you have a square.
11:30 the video art
You don’t have to consider the object as 4 sticks. Pretend their 2 sticks shaped as a boomerang (right to top connected, and left to down). From there, just simply slide one of them along an axis from the top right corner of the screen to the bottom left. That will make a square by moving only 1 stick. They never defined ‘stick’…think Outside the outside of the box.
The puzzle is clearly using matchsticks, so it is implicitly defined.
I've solved Puzzle 1differently:
First cut is a vertical line along left edge 1 unit away from edge, so we cut away a piece of 1x9
Next we flip that piece by 90 degrees and put it along top edge of big wood piece aligned to left
Next cut is again vertical cut along left edge of two combined pieces 1 unit away from edge
After second cut we got 4 pieces - 1x9 was split into 1x1 and 1x8, and at the same time we cut away another 1x9 piece from big piece which now is 10x9 with 1x8 hole inside
Now we use 1x8 piece to cover the whole inside big piece which gives us 10x9 solid piece and we got to 1x10 line to cover which we do with 1x9 and 1x1 pieces
Can't use animations in comments, so it will take some effort and good imagination to follow this :P
these puzzles are fun! thank you
For the square hole puzzle, the solution I'd come up with before you clarified that each cut must be made to the original piece of wood was: cut horizontally along the bottom line of the slot, from one side of the box to the other; slide the bottom part to the right by half the width of the slot; cut vertically along the right edge of the slot; that leaves a 5-by-2 piece from the right of the box and upwards, to move to the half-turn opposite position below and to the left of where the slot was. The second cut also bisected the 4-by-12 lower part from the first cut into two 4-by-6 ones, that we now rotate to place their 4-edges along the slot and their 6-edges downwards. While this violated your spec for how each cut must be made, it's two cuts, each a simple straight line at the time of cutting.
Puzzle 1 has a second solution. Cut 2 of a side, rotate that so that it is connected 1 away from the other side, now cut the other side off, the cut will go through the rotated piece. You now have 2 4x8 pieces a 2x9 piece, a 2x8 piece and a 1x2 piece Stack the Xx8 pieces to make a 10x8 piece. stack the 2x9 and 2x1 to make a 2x10 and put it to the side of the other stack. You now have 10 x 10 by making 2 straight cuts.
Yoooo I solved the last problem GG