@@aplleprojdump so -1 minesweeper becomes -0.666... and for 3^n as n approaches -∞, it goes to 0 making that -∞d has -1 maximum mines around its tile...
one little known fact. in the original minesweeper game, if the first cell a player clicks would have had a mine under it, that mine would instantly be moved to another location.
It would be moved to the top left, unless that's the one you clicked or there's already a mine there, then it'll continue testing squares I think towards the right. Newer MS Minesweeper instead regenerates a board so your first click is safe and I have a feeling it tries to prioritise a zero. MS Minesweeper on Vista was the first MS Minesweeper where you could lose on a first click since it let you replay the same arrangement, and the game told you that.
I love 4d minesweeper and play it religiously. The most mines I have beat it with is 40 on a 4x4x4x4 grid. It is cool being able to change all the sizes of each dimension too.
btw i did 6-dimensional minesweeper as a pet project and it is just crazy. in fact, I can make any number and length of dimensions, but it is hard to make a view for all of them. The thing I noticed is how drastically bomb percentage decreases for difficulty to stay the same across rising number of dimensions. and also it is a bit laggy when you make 10*10*10*10*10*10 grid (well I can see why). I think for dimensions above 10 there will be 0.1% of bombs and it will be enough to blow up your mind
perhaps I should make a “minesweeper on a fractional dimensional graph”. (by which I mean: graphs from families of graphs where, for large graphs from that family, if you take the r ball centered at a given vertex, for large r (but where the size of the graph is large compared to r), the size of the ball will be approximately proportional to r^(some fractional (I.e. non-integer, not necessarily a rational number) number). ) Though, for the fractal dimension to really come into play as a relevant approximation, would probably need a rather large graph, and maybe like, instead of just “how many mines are directly adjacent?”, instead “how many mines are there within r steps along the graph”? I.e. within the radius r ball Hmm... I guess then each clicked/investigated cell could show like “how many direct neighbors”, “how many within the ball of radius 3?”, and “how many within the ball of radius 5?” Though maybe showing 3 numbers for each cell would be too much. ... and that’s not even getting into “how to arrange the graph on the screen”. Oh! Maybe instead of each investigated cell showing the number of mines within each of a number of distances, instead: If there are any mines among direct neighbors, it shows how many, but if there are none, it indicates that, along with how many there are within the r=3 ball, or, if none, how many within the r=5 ball, etc. So, each would show two numbers: the first would be “the largest radius among a certain list (maybe ‘0,1,3,5,9’?) such that the ball of that radius centered at this vertex has no mines”, and the second would be, “the number of mines within (the ball with the next radius from that list)”. I think for this, to really illustrate the fractional dimension aspect of it, we would probably want the graphs to be very big, with the mines distributed in a rather sparse way. And, to make this playable, should definitely make the neighbors of the investigated cells with no neighboring mines, to be automatically investigated. I still have the question of “how to display such a graph on a screen”. Well, if the family of graphs is associated with a dimensionality between 2 and 3, (or, even if between 1 and 2?) if we place the graph in 3D space, that should probably work out alright? Like, maybe let the player like, rotate the embedding of the graph? Ok, then... I know there are some algorithms for like, putting a graph in 3D space in a way that tries to make graph-distance be approximated by the Euclidean distance. But, would any of those easy for me to implement? Hm hm hm...
4D VR is just a 3D video where you can experience each individual frame separately but also simultaneously. So essentially, just layer all frames of a video on top of each other, but make it so that you can clearly distinguish each individual frame. For 5D, each of these frames are just replaced with videos. Of course, this is under the assumption that time is the 4th axis in the same family as length width and height.
@@lox7182 Well it's technically 5d, but only if you count a regular chess board as having 3 dimensions (i guess because the knight can hop over other pieces?). Because then you have our 3 spatial dimensions, as well as time, and then the other dimension similar to the one in 4d minesweeper.
What I find insane is a single 4x4x4x4 4d game with 16 bombs would be the equivalent of a single 4x4 2d game with a single bomb. The scaling in difficulty is insane.
the best part of this is that now that training ai evolves could we make 4 dimensional beings that see stuff like this as normal that trained themselves completely without human influences and we would probably not even remotely understand any of the logic they follow
Someone probably already commented this, but the 3d minesweeper solution is wrong. You mark the 2 adjacent boxes as mines, but all the numbers around are a 1, which means only one of the boxes is a mine.
Mathematics are an expression of philosophy, and philosophy is just hairless monkeyd hallucinating really hard. Whoever published *THAT* chess on steam must've been insane.
if you wanted to be able to actually SEE a 26 clue in that first 3D representation of 3D Minesweeper, you would have to be a 4-dimensional being, viewing the game on a 3D screen. the equivalent on our normal 2D minesweeper is that with the Roblox version, you can't get to a square with an 8 hint without jumping or walking over a mine.
It's not that it's moved away, but the game board just isn't generated until you make the first click. The cell you click first is hard coded to always be safe and serves as the starting point for the rest of the game board.
For 3d minesweeper I assume the highest possible number isn't actually 26 but 25, because you wouldnt actually be able to reach the center without selecting a bomb
Imagine you are playing 1D minesweeper and see 3. So, you try to make the game 2D. But then, you see 9. Terrifying indeed. But then, you go to 3D to attempt to solve it. Then yet again, you find 27. It puzzles you. In a last ditch attempt, you try to go 4D and see 81. And as you go further, 5D, 243, 6D, 729 and as you go on you realize that you are stuck in a loop that never ends of 3^nth dimensional level.
i don't like that that minesweeper variant doesn't guarantee that your first click will be a non-mine :/ (not that it will be of much help tho, since it will usually only uncover a single cell
FYI: the maximum number that can show up in n-dimensional Minesweeper is 3^n - 1.
1D: 3^1 - 1 = 3 - 1 = 2
2D: 3^2 - 1 = 9 - 1 = 8
3D: 3^3 - 1 = 27 - 1 = 26
4D: 3^4 - 1 = 81 - 1 = 80
Heck, this even holds true for 0D minesweeper. There’s only a single square possible in 0D minesweeper, so there’s no number possibility; 3^0 - 1 = 1 - 1 = 0
*assuming that the board is made out of squares
This is actually a serious problem. It is better to set limits, like only being diagonal in up to 2 dimensions.
@@aplleprojdump so -1 minesweeper becomes -0.666...
and for 3^n as n approaches -∞, it goes to 0 making that
-∞d has -1 maximum mines around its tile...
@@aplleprojdump5D = 242 right?
one little known fact. in the original minesweeper game, if the first cell a player clicks would have had a mine under it, that mine would instantly be moved to another location.
It would be moved to the top left, unless that's the one you clicked or there's already a mine there, then it'll continue testing squares I think towards the right.
Newer MS Minesweeper instead regenerates a board so your first click is safe and I have a feeling it tries to prioritise a zero. MS Minesweeper on Vista was the first MS Minesweeper where you could lose on a first click since it let you replay the same arrangement, and the game told you that.
Well, the 3d one wasn't done correctly
Ah, yes, 4D minesweeper, my favorite psychological horror game
😂
I prefer 4D chess.
NO, DONT START IT@@antivirusexe2856
@@antivirusexe2856 I prefer 5d chess with multiverse time travel
@@1224chrisng it claims to be 5d but if you count there is only four.
I love 4d minesweeper and play it religiously. The most mines I have beat it with is 40 on a 4x4x4x4 grid. It is cool being able to change all the sizes of each dimension too.
Seeing 4x4x4x4 really fucks with my head
Where can I find it?
@@RoseOnFire steam
@@epikitee2186 no mobile options?
@@RoseOnFire not to my knowledge, unfortunately
It's design breaks a classic MS Minesweeper contract of "first click is never a mine".
That's because it's programmed in MS Minesweeper. He forgot to program it in.
Somehow a minesweeper game has given me a better understanding of the fourth dimension that any other explanation has.
Imagine training to get better and better, only to lose on the first click.
click on the smiley
minesweeeeeee battle per advanced
this is why I'm pretty certain the ordinary minesweeper only generates the mines after you click the first time, so you always click in a space
@@thevalarauka101not exactly
@@olixx1213 wait what does it do then
Failed that 3D minesweeper. One of the flags wasn't a bomb
bhbdgfhbgfdbrgd
@@IcelyPuzzles this is truly chess battle advanced trying to decode what on earth you just said
and he got lucky on the first mine that he clicked, with the information he had it was a 50/50
Keyboard smash detected, furry incoming @@IcelyPuzzles
btw i did 6-dimensional minesweeper as a pet project and it is just crazy. in fact, I can make any number and length of dimensions, but it is hard to make a view for all of them.
The thing I noticed is how drastically bomb percentage decreases for difficulty to stay the same across rising number of dimensions. and also it is a bit laggy when you make 10*10*10*10*10*10 grid (well I can see why).
I think for dimensions above 10 there will be 0.1% of bombs and it will be enough to blow up your mind
Can i play it?
@@donutferret7358it was not published anywhere. But I can polish and build the project for you if you want to
@@donutferret7358 how can I send it to you?
max number is 728
multiple dimensions=more brain storming
I can't even understand 4D mine sweeper
The fact that he finished the 4D one in 7:27 is just killing me rn
chess battle advanced
wysi
@@itsphoenixingtime W recognition
@@itsphoenixingtime W recognition
Wysi
perhaps I should make a “minesweeper on a fractional dimensional graph”.
(by which I mean: graphs from families of graphs where, for large graphs from that family, if you take the r ball centered at a given vertex, for large r (but where the size of the graph is large compared to r), the size of the ball will be approximately proportional to r^(some fractional (I.e. non-integer, not necessarily a rational number) number).
)
Though, for the fractal dimension to really come into play as a relevant approximation, would probably need a rather large graph,
and maybe like, instead of just “how many mines are directly adjacent?”, instead “how many mines are there within r steps along the graph”?
I.e. within the radius r ball
Hmm...
I guess then each clicked/investigated cell could show like “how many direct neighbors”, “how many within the ball of radius 3?”, and “how many within the ball of radius 5?”
Though maybe showing 3 numbers for each cell would be too much.
...
and that’s not even getting into “how to arrange the graph on the screen”.
Oh! Maybe instead of each investigated cell showing the number of mines within each of a number of distances,
instead:
If there are any mines among direct neighbors, it shows how many,
but if there are none, it indicates that, along with how many there are within the r=3 ball,
or, if none, how many within the r=5 ball, etc.
So, each would show two numbers: the first would be “the largest radius among a certain list (maybe ‘0,1,3,5,9’?) such that the ball of that radius centered at this vertex has no mines”, and the second would be, “the number of mines within (the ball with the next radius from that list)”.
I think for this, to really illustrate the fractional dimension aspect of it, we would probably want the graphs to be very big, with the mines distributed in a rather sparse way.
And, to make this playable, should definitely make the neighbors of the investigated cells with no neighboring mines, to be automatically investigated.
I still have the question of “how to display such a graph on a screen”.
Well, if the family of graphs is associated with a dimensionality between 2 and 3, (or, even if between 1 and 2?)
if we place the graph in 3D space, that should probably work out alright?
Like, maybe let the player like, rotate the embedding of the graph?
Ok, then...
I know there are some algorithms for like, putting a graph in 3D space in a way that tries to make graph-distance be approximated by the Euclidean distance.
But, would any of those easy for me to implement?
Hm hm hm...
mucho texto 😢😢
@@cherry_7669 I was brainstorming. It isn’t really that long of a comment.
im scared
@@drdca8263 mucho texto
@@cherry_7669 sorry, I don’t speak Spanish
smiley button will try to open a blank (0) square (if possible). It can only be used before the game starts.
Not like you can insta-lose in classic minesweeper anyway.
Some people out there playing: 4D chess, 4D minesweeper...
And maybe 1 day we will have 4D VR
4D VR is just a 3D video where you can experience each individual frame separately but also simultaneously. So essentially, just layer all frames of a video on top of each other, but make it so that you can clearly distinguish each individual frame. For 5D, each of these frames are just replaced with videos. Of course, this is under the assumption that time is the 4th axis in the same family as length width and height.
@doesnotcompute6078 It's actually 4d (the fifth dimension is the "dimension pieces uses to jump from one place to the other")
@@lox7182 Well it's technically 5d, but only if you count a regular chess board as having 3 dimensions (i guess because the knight can hop over other pieces?). Because then you have our 3 spatial dimensions, as well as time, and then the other dimension similar to the one in 4d minesweeper.
*TIME TO DESTROY MY BRAIN*
Next thing you know, you're gonna have 242 mines around you.
Minesweeper final boss battle
Ah yes, a typical Tuesday in Bosnia.
I like how in our universe, if the 4th dimension is time, there would only need to be 2 mines at any given time. The mine layer could just move them
is it just me or was the 3d minesweeper not actually solved?
it wasn't
you right he did it wrong
Now make 5D interdimensional minesweeper with time travel!
What I find insane is a single 4x4x4x4 4d game with 16 bombs would be the equivalent of a single 4x4 2d game with a single bomb. The scaling in difficulty is insane.
Now I want a 0D minesweeper where it's just a 1x1 grid
So, a coin toss.
the best part of this is that now that training ai evolves could we make 4 dimensional beings that see stuff like this as normal that trained themselves completely without human influences and we would probably not even remotely understand any of the logic they follow
This video made me think you'd love Bombe. It thrives on creating rules like you did when solving the 4D version.
why not 4d sudoku?
Someone probably already commented this, but the 3d minesweeper solution is wrong. You mark the 2 adjacent boxes as mines, but all the numbers around are a 1, which means only one of the boxes is a mine.
Somewhere out in the world someone probably has mastered this game and finds it easy
Such thought scares me
5D Minesweeper with Multiverse Time Travel when?
Imagine a 3 in 1d mineswepper. Thats impossible.
81 in 4d minesweeper is impossible
two are to the sides, one is behind you
@@electr0cute170 That would just be 2d
@@pridepotato314woooosh!!!!!
@@AlwaysTiredStudios I can't tell what a joke is anymore...
*Sees 81
*Boss music starts
This actually looks really fun.
Mathematics are an expression of philosophy, and philosophy is just hairless monkeyd hallucinating really hard. Whoever published *THAT* chess on steam must've been insane.
if you wanted to be able to actually SEE a 26 clue in that first 3D representation of 3D Minesweeper, you would have to be a 4-dimensional being, viewing the game on a 3D screen.
the equivalent on our normal 2D minesweeper is that with the Roblox version, you can't get to a square with an 8 hint without jumping or walking over a mine.
fun fact: in windows minesweeper if you click on a mine on first move it is moved away
When I was a kid, I always tried to find the bomb on the first click 😂
It's not that it's moved away, but the game board just isn't generated until you make the first click. The cell you click first is hard coded to always be safe and serves as the starting point for the rest of the game board.
2D minesweeper is kinda weird looking…
Lets get a 5D minesweeper for a 242 mines box
1:02 that's a 4 by 4 board, not a 2 by 2 board
Make a song for an 80 mines minesweeper
but then show the game of 4d minesweeper, and flag the 80 adjacent cells
Por fin. Puede existir la casilla 26 en el buscaminas 🤑
KSKSKKSKSKKSKKSKSKSKKSKKSKSSKSKSKSKSK
é isso que eu ganho por estar acordado
4d reverse minesweeper in baba when?
Also i calculated the adjacent tiles for 5D and 6D minesweeper, 5D is 242 maximum adjacent tiles, and 6D is 728 maximum adjacent tiles
2:11
"You suck at this game"
Wii sports bowling narrator on steroids
The 2D minesweeper number solve shape looks interesting.
how did you even see that
26 is Minesweeper's final, secret, most powerful boss
Literally my mind: 5d Minesweeper With Multiverse time travel
I dont even understand 2d minesweeper, just thinking about 4d minesweeper makes my brain leak trough my ears
If I recall time is the fourth detention, so the way to beat 4d minesweeper is to go to a time where the mine doesn't exist
minesweeper battle advanced
5d minesweeper with time travel
i cant even beat 2d minesweeper BRO BEAT 4D MINESWEEPER 💀
Chess baba advanced
It is possible to make 2D and 3D minesweeper boards in 4D minesweeper app. Would you like to show possible board sizes there?
my singular braincell trying to understand whats happening:
now you can try 5D
For 3d minesweeper I assume the highest possible number isn't actually 26 but 25, because you wouldnt actually be able to reach the center without selecting a bomb
Imagine you are playing 1D minesweeper and see 3. So, you try to make the game 2D. But then, you see 9. Terrifying indeed. But then, you go to 3D to attempt to solve it. Then yet again, you find 27. It puzzles you. In a last ditch attempt, you try to go 4D and see 81. And as you go further, 5D, 243, 6D, 729 and as you go on you realize that you are stuck in a loop that never ends of 3^nth dimensional level.
As a chess player I laugh at the slow progression of minesweeper, we’ve already mastered the 5th dimension, Muahahahaha
This man has a understanding of 4D
Try to see if there’s a 5D mine sweeper
I'd assumed that 4D Minesweeper would be represented by a bunch of 3d minesweepers in a line.
I've been watching this video for 8 minutes and 25 seconds without understanding anything about the gameplay
I have no idea what Chess Battle Advanced is and at this point im too afraid to ask.
now lets do 5d minesweeper
This isn't Minesweeper anymore. This is Minesudoku.
"I love your funny word magic man!"
now also add a second type of bomb and call it imaginary so numbers can be complex
the 4th dimension is time so the board would need to be constantly moving.
0d minesweeper is like the 50/50 tile.
"Let's imagine a 2x2 board" shows 4x4 board
You can't actually see a 26 in 3d minesweeper because it will be obstructed.
now waiting for 5d minesweeper with time travel
This guy actually played 4d minesweeper while im here not even understanding 2d one
You have to avoid the mines
5D minesweeper with multiverse time travel
4th dimension is time, so there are another 27 tiles before and 27 after so yes, it's 80.
Did V-Sauce ghostwrite that intro?
i don't like that that minesweeper variant doesn't guarantee that your first click will be a non-mine :/ (not that it will be of much help tho, since it will usually only uncover a single cell
4d mindsweeper Looks Like 5d chess(my Most favourite Version) where you Play with multiple universes of the chess board
Turn the 80 upside down it will turn into an eight easy😂
I... think my brain just melted...
Next up: 4D chess....
... battle advanced
I wasn't even able to understand how normal mine sweeper works and I'm here trying to follow the video 💀
Nicely done but I'm out (after 5 minute)
My man here is trying to answer the important questions in life.
4d minesweeper hurts my brain
did you know you can figure the maximum number by:
3^D-1
by D=dimention like
3^3-1=8
meaning the maximum number of 3D is 8.
What about 10D minesweeper?
4d minesweeper is just 3d minesweeper on a 2d plane lol.
Lore of 1D, 2D, 3D, and 4D Minesweeper momentum 100
And 80d mineswaper?
3d minesweeper is... Walking around in Bosnia.
i dont like the numbers going down as you place flags, makes the game more confusing and removes the flashy cursed 28 numbers and such
This is scaling fast
next you should do versions of minesweeper inside other games
Minesweeper inside minesweeper
already exist in baba, in adofai, in minecraft, in discord
and geometry dash
Is that only available on steam?
Maximum number of each dimension (3^dimension - 1)
1D: 2 (3^1 - 1)
2D:
3D: 26
4D: 80
5D: 242
6D: 728
7D: 2186
8D: 6560
9D: 19682
10D: 59048
11D: 177146
Extra:
0D: 0
-1D: -0.666666…7
-2D: -0.888888…9
-3D: -0.962962…963
12D: 531440
20D: 3486784400
50D: (717.897988 x 10^21) - 1
100D: (513.377521 x 10^45) - 1
500D: (36.3602918 x 10^237) - 1
when 5D minesweeper
As the speedrun com google minesweeper easy mode mobile top 1, i see this like hell
What about 5D minespweeper
5D minesweeper with multiverse timetravel
Now what about 5D minesweeper with multiverse time travel?
I'm 100% getting a CBA...
there is also a 6d minesweeper
5d minesweeper with multiverse time travel when
Ok but how would 4d expert minesweeper look like