Can you solve the Alice in Wonderland riddle? - Alex Gendler
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- Опубліковано 16 лис 2020
- Practice more problem-solving at brilliant.org/TedEd/
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After many adventures in Wonderland, Alice has once again found herself in the court of the temperamental Queen of Hearts. She’s about to pass through the garden undetected, when she overhears the king and queen arguing that 64 is the same as 65. Can Alice prove the queen wrong and escape unscathed? Alex Gendler shows how.
Lesson by Alex Gendler, directed by Artrake Studio.
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:)
This was a fascinating riddle.... But i had once read about Fibonacci sequence in Dan Brown's Da Vinci Code and decided to dig deeper... And because of that, i knew the answer right away.
nice riddle
Sure!!
what's so special about 833
Moral of story:
Never interfere someone conversation if you don't want to die.
You know what Solomon said: To intervene in other people's argument is like pulling a dog by the ear.
Or know the answer and be a smarta**
But...then more will die
Exactly what I was thinking
Yup. You may not know the whole story and it's rude to interfere.
Oh! Excuse me for interfering! XD
"Answer the Riddle or you die"
Me: Guess I'll die
Yes finally
I'll die too
🤣🤣🤣
Plot twist: just answer it whether its right or wrong then you'll be free
Bold of you to assume I want to live.
Alice: You see, Fibonacci numbers-
Red Queen: OFF WITH HER HEAD
*chop*
fr lmao
the fact that the queen is one who acts harley quinn in the movies is amazing (excuse my grammar)
Lmaoo
_Just as things aren't looking too good for Alice, she remembers her geometry..._
Boy, I wish I could do that in a situation where I'm about to lose my head.
If you don’t use it you might as well lose it
@@loveloveaii lol
Quite literally
Hello, I'm the thousandth like
Yeah, well, then again you only sit on your couch, watch tedex videos and never have any real life adventures in the firstp lace
Alice- does the math and proves the queen wrong
Queen-......Im right, you're wrong, shut up.
Off with her head!
@@shaxosYT To the guillotine!
Well thats like fighting with your parents be like
Karen
i almost died reading this
Fun fact: The author of Alice in Wonderland was a mathematician and his books are full of math references.
For example, when Alice falls down the hole and begins shrinking, she wonders if she'll eventually disappear or shrink indefinitely. This hints at the concept and definition of a limit.
It's no wonder various authors have used Alice and her adventures to write and logic and math books.
It fits so well.
Fun fact: Queen Victoria liked the book so much that she suggested that Carroll dedicate his next work to her. And *An Elementary Treatise on Determinants, With Their Application to Simultaneous Linear Equations and Algebraic Equations* was presented to the queen
@@izthistle6196 👏👏
I wonder what a Wonderland based on Common Core mathematics would look like.
wut
"can alice wrap her head around whats wrong? before she loses it?" KILLED ME LMAO
Almost killed Alice, too!
Same lol
I seriously though TED was finally going to tell us why a raven is like a writing desk.
They both have quils
Edgar Allan Poe wrote on both
You turn to them both on a dark and stormy night?
Lewis Carroll actually provided an answer for that one though, it's because "they both make notes (letters and "caw") although they are rather flat (paper and a flat music note)."
Me too
This reminds me of the old “Infinite Chocolate Bar” trick
perhaps because it's the same, but idk
it is the same
You beat me to it....same comment here....the chocolate bar theory
Yes, thank you I was asking myself why is this so familiar?
Same!
There's only one problem: how will I explain everything I just saw to the Queen?
Tell her there's a visible gap between the soldiers, if they are as big as depicted (the size of humans) then there should be no problem seeing that gap from close up.
Queen be like : Off with her head
Run as fast as you can while screaming the answer XD
Point at her and scream "you chested b!tch"
And then RUUUUN
I thought it was more like a acid trip
If Alice is able to solve this puzzle in three seconds while being dragged to her death, she's clearly a prodigy. No wonder she was so bored of her sister's simple history lesson that she fell asleep.
Matilda’s dad be like if he were the queen: I’M BIG YOUR SMALL I’M RIGHT YOUR WRONG AND THERE IS NOTHING YOU CAN DO ABOUT IT
*you're
And why does everyone have to 'be like' statements? Doesn't anyone ever 'say' them anymore? And what's with 'BE like'? Unless you're a pirate at least take the trouble to conjugate it!
@@Inkyminkyzizwoz I mean the sentence is grammatically correct (except for the your) so I don’t understand why you are upset about the fact I said be like instead of say. Btw English isn’t my mother tongue
“Matilda’s father is known to behave in a manner that I shall now demonstrate, with said demonstration assuming a hypothetical scenario wherein he replaces the queen in the narrative recited above:”
@@erickpoorbaugh6728 when you wanna hit that 1 thousand words quota
lmaooo love this comment and your Aang pfp
Just when Alice was about to lose her head, she remembers the chocolate tablet problem that was around the internet a few years ago...
Oh yeah, that. I ate the chocolate.
infinite chocolate pog
*Students complain geometric is useless outside of school.
Queen of Hearts: Hold your head❤️
Thanks for your illustrations.
I mean you can beat this scenario without geometry
Yeah , my day job involves following a rabbit into a hole everyday, like many people do.
Geometry is really useful in this line of work
@@arthurlam751 My pleasure to help the scientists! Happy drawbiomed
It is not😒😔
"Can you answer the Alice in the Wonderland riddle?"
Me: I *wonder* how I'll get confused before the actual riddle start
Alice at 0:29 : interject the queen without thinking
Also Alice: solve the whole math problem
alice iq is so high that she thought the Queen is serious about her joke
lol 😂
alice iq is so high that she immediatly talks to the person she was hiding from
alice iq is so high that a reddit user r/woooosh her
well people with high IQ has less eq so your sarcasm is not really sarcastic
@@sakibislam4079 what is eq?
Since this is Wonderland it's also possible that both are wrong and the true answer is Jabberwocky.
Who is this person who is so wise in the ways of science?
I aspire to reach your level of wisdom one day
JIBBERWICKY
:D Hi! Concerning the Alice’s world, I think you could like this adaptation played on piano by me, of the Alice’s movie soundtrack, composed by the great Danny Elfman, 😃here it is!👉🏻ua-cam.com/video/_QJcwbevE54/v-deo.html 💚thanks for your attention:)
Wow, they really butchered Shiny Agumon with that redesign, huh?
I thought the riddle was going to be: "Why is a raven like a writing-desk?"
Poe wrote on both
same here.
Me: When will we ever use what we learn in math class
My Math Teacher:
why is no one talking about the background music? it's a groovy bop
@Daksh Chauhan there is great background music
It sounds similar to "White Rabbit" by Jefferson Airplane! I wouldn't be surprised if it's on purpose
Man, the bar for what's considered "a bop" has gone down so much.
We all inhaled the smoke from the caterpillar's pipe..
Does anyone know the music's name?
* reads title *
"probably not but I'll give it a try"
This is basically it. This is what all of us do.
this was me
I’d seen it before... which is disappointing bc it means I didn’t get to try it
literally me every single time.
Me with every TedEd riddle
"Why is a raven like a writing desk?"
*Because Poe wrote on both*
I just love that Alice in Wonderland characters are randomly having an argument about numbers 😂
Nobody:
Queen of Hearts: OfF WiTh YoUr HeAd
That does rather sum her up.
@Yinka Vaughan Believe it or not, I didn't actually intend that one! XD A happy little accident, as Bob Ross would say.
You disagree with my knowledge, to the guillotine
Dance Dance Dance to Death
WHen the world needed them the most, Ted-Ed uploaded a riddle.
Meanwhile, Twitter
🐦
!⃝ 𝗧𝗵𝗶𝘀 𝗰𝗹𝗮𝗶𝗺 𝗶𝘀 𝗱𝗶𝘀𝗽𝘂𝘁𝗲𝗱
(Atla music plays)
Recently I watched a video of a math teacher explaining this problem and while I kinda get it, it didn't clicked for me. The chessboard and the gap is such a wonderful illustration that helps my visual brain to process it better.
The art is also very cute! Thank you so much for creating this video ❤️
the rabbit countdown at 1:52 was so cute
So the queen of hearts is able to have card soldiers that have fibonnaci sequence values as side lengths but can't piece together that 65-1 = 64
It's Wonderland. No one there is logical.
“We’re all mad in here” - says the grin without a cat
She cheated on purpose. She didn't really think that the two numbers are equal.
it’s an advanced technique called “lying”
:D Hi! Concerning the Alice’s world, I think you could like this adaptation played on piano by me, of the Alice’s movie soundtrack, composed by the great Danny Elfman, 😃here it is!👉🏻ua-cam.com/video/_QJcwbevE54/v-deo.html 💚thanks for your attention:)
Queen: Knows advanced geometry
Also Queen: Does not 64 and 65 are different.
Also Queen in 1975: Galileo!
Congratulations 🎉👏 of being the top comment 👍😁 (as of now 😈)
When this comment has more likes that ted-eds comment (FOR NOW)
Step one: Confirm you have green eye
Step two: Ask the Queen of heart to leave
Op...
But Alice has blue eyes
@@Inkyminkyzizwoz Those are contact lenses.
Figured out the slopes thing right away but got stumped trying to figure out how they could possibly be covering the board anyway. Some clarification of the constraints of the question would've been nice, as I didn't think "they aren't" was a valid response.
The only riddles which are not of kids level.
Was the other ones easy for you?
@@barrotem5627 I think that he's talking about all of this channel's riddles
@@slkjvlkfsvnlsdfhgdght5447 Okay. Does this mean the other riddles were easy for them?
@@barrotem5627 other riddles on the internet I would assume
that's how I understand it : "only ted-ed's riddles are not 'kid level'"
Yup
Ted Ed: Can you solve...
Me: Instantly clicks the video
*Edit* Wow this is probably my most liked comments, I never expected to have this many! Thank you.
Me: no, but let me see it anyways
Me too I love ted ed 's riddles
🐦
!⃝ 𝗧𝗵𝗶𝘀 𝗰𝗹𝗮𝗶𝗺 𝗶𝘀 𝗱𝗶𝘀𝗽𝘂𝘁𝗲𝗱
@@mariocuric6690 Yeah.
Wow, thankyou for all those likes :)
“Suddenly, Alice remembers her geometry.”
If only.
If only...
These riddles are great as starters for Math lessons, they engage students and encourage them to explore various possible solutions based on concepts they have already learnt
I was able to solve the riddle but in a different approach.
Given the Queen's arrangement of the four soldiers, it would seem that a rectangle can be formed. Even if the total area of the four shapes sums up to 64 sq. units and cannot form a shape that's more or less than the mentioned area, there's been cases like the infinite chocolate bar puzzle that beg to differ.
To check if the 13x5 rectangle is possible, see if the measure of the rectangle's diagonal matches with the sum of the diagonal side of the trapezoid and the hypotenuse of the triangle.
If one were to look closely at the trapezoid, there is a right triangle within the trapezoid. Split the trapezoid into a 5x3 rectangle and a right triangle with legs 2 and 5. Using the Pythagorean Theorem, the hypotenuse of the right triangle within the trapezoid, which is also the diagonal side of the trapezoid, is sqrt29.
Now let's take a look at the hypotenuse of the triangles with legs 8 and 3. Using the Pythagorean Theorem once more, we get a hypotenuse of sqrt73.
Now let's take a look at the diagonal of the supposed 13x5 rectangle. To get the measure of the said diagonal, we use the Pythagorean Theorem again. We get a measure of sqrt194. If the rectangle can be formed with the four soldiers, then the diagonal of the rectangle should be the same as the sum of the hypotenuse of the right triangle solder and the diagonal side of the trapezoid soldier.
sqrt194 is approximately 13.928
sqrt29 + sqrt73 is approximately 13.929
Since the two values above are not equal to each other, the 13x5 rectangle cannot be formed with the four soldiers/shapes. As such, the extra square comes from the gap at the supposed diagonal of the rectangular chessboard as shown in the video.
Woah
tldr
That was exactly how I approached it!
I found the sum of the areas of the soldiers to determine whether I should look for a surplus or a deficit-or, equivalently, which rectangle contains the error/cheat. (of course it's a gap; overlaps are more obvious)
Since the external dimensions matched the areas of the rectangles, there had to be a gap between the soldiers within the 5x13 rectangle. The lines running parallel to the sides of the rectangle will fit tightly together regardless, so the only place left for a gap-"are the large triangles really triangles?", check the slopes like Alice. 2/5 ≠ 3/8.
You know how other methods of finding the solution sort of pop out once you've solved the problem? You could also compare the slopes to the 5/13 of the rectangle's diagonal.
Yep, I did it in similar way.
Ted-Ed: Sure enough, there's a miniscule gap between gap between the triangles and trapezoids...
Card Soldiers: *cover up the gap when lying down in **1:33*
If they didn't, it would have been too obvious. Besides, the gap would have been less than a tenth of a square wide at its widest point.
I think you can actually see the gap when you look close enaugh. But the colors of the board were changed so it isn‘t too obvious
I mean you're supposed to figure that part out though.
Actually the line is there, I am watching at 720p in my 13 inch, and there is a very light gray line in-between them, u have to be Keen to see that, man animators should have worked real hard on that!!
It's so small we can't see it
Once I realize it's a math riddle, I turn around and thank ted for it's time.
Same 😭
Wow: "One can't believe impossible things." What great advice lol
Let’s be honest:
You don’t try to solve the riddles
_You read the comments_
I thought you were going to say "You wait for the answers then curse yourself for not figuring it out"
no
@@rachealx.107 yeah that too lmao
Well for once I know how to solve this one because I've seen something similar lol
"1:35, they showed it as if they actually touched. If it had said that there a was gap in between, it would have been more obvious for me. They didn't show the information correctly. I still enjoy this concept though"
People who watched Numberphile's video half a decade ago:
*Oh this is going to be super easy and should barely be an inconvenience*
The legends who saw PatrickJMT's lectures on the Maclaurin series and Cantor Set:
*We're all mad here, but my powers have doubled since the last time we met*
God-like beings who memorized all the frames in "The Banach Tarski paradox" video by Vsauce a trillion eons ago:
*More and more curious. All those years of academic training was worth it*
All those gods the moment after clicking on this video:
*Pathetic*
What's up with the "The Banach Tarski paradox" that it appears to cheat the law of conservation of energy, and this goes unquestioned?
@@joshuahudson2170 wow i looked everyone to find this paradox and youre the ONLY one who caught up with the fact this girl talking to those recetangles who were secretely smaller than they appeared was actually part of banarch tarski something the video didnt explaina and neither do the LITERAL CHILDREN AKA BABIES ON UA-cam ACTUALLY KNOW ABOUT IT EITHER MUCH LESS HAVE A DEVELOPED ENOUGH BRAINAS OF YET TO TRULY GRASP AND UNDERSTAND THE IDEA, CONCEPT, IMPLICATION, DEFINITION, AND JUST IN GENERAL TRULY GRAPS WHAT THE BANACH TARSKI PARADOX EVEN IS
@@joshuahudson2170 its just an abstract mathematical concept or idea which using tricky and unnecessary math that would never ever be used in the real world especially by nature or for example gravity or atoms because its just extremely great at being a MASSIVE VIOLATOR OF ALL LAWS OF THE UNIVERSE SUCH AS THE LAWS OF PHYSICS OR ESPECIALLY THE LAWS OF THERMODYNAMICS WHICH STATE THAT ENERGY CANNOT BE CREATED OR DESTROYED, the paradox PRETENDS and seems to imply and give the illusion and to those who are super nerds and mathematicians DESPERATE to have their decades or life's work actually somehow maybe, hopefully be fact somehow or someday or in some place in reality and they completely become DELUDED AS FUK because they TRULY believe due to their MATHS, that the UNIVERSE DOES AND CAN ALLOW YOU TO CUT UP SAY CHOCOLATE IN SUCH A WAY AND REARRANGE IT IN SUCH A WAY THAT YOU SOMEHOW GET YOUR FULL CHOCOLATE BAR BACK PLUS AN EXTRA BAR. Now any sane and normal person would realize this is bs and impossible, but hey, deluded mathematicians will cry and argue otherwise. I wouldnt say it cheats the law of conservaation of energy but rather it goes against the laws of thermodynamics particularly the first law which says energy cant be created or destroyed.
hey that’s a ryan george reference! wowowowowow!
I'm so happy that I got this one!! My method was different, though. The small angle is 21.03 degrees on the triangle created by the diagonal of the 13*5 rectangle, but the 8*3 triangle had a smaller angle of 20.56 degrees.
Great riddle! The recent riddles have been a little boring but now you're back, Ted Ed! I was stuck on this one for a long time and almost gave up but then I did the math. I figured that something must be wrong with ____ (no spoilers here!) and located the issue.
Besides, what a wonderful story and animation! The Alice in Wonderland theme is a great way to show how miraculous but universally true mathematics are.
“64 is the same as 65”
This is beyond science.
_"Why is a raven like a writing desk?"_
*Answer:*
Poe wrote on both
They both produce notes and the front can nevar be mistaken from the back
There is a classical one! I don't have any idea hahahaha
They both produce notes, though they are both very flat
Because both have quills dipped in ink
Lewis Carroll is awesome. An awesome author AND mathematician!
Well put together, thank you. I needed to learn this.
This is like the the Chocolate bar trick where you cut it up and remove one piece and when reassembled makes it look like it didn't reduce in size.
Real answer it's wonderland don't question it
🐦
!⃝ 𝗧𝗵𝗶𝘀 𝗰𝗹𝗮𝗶𝗺 𝗶𝘀 𝗱𝗶𝘀𝗽𝘂𝘁𝗲𝗱
THIS IS FRICKEN GOLD
Always question your reality
"can alice wrap her head around what's wrong before she loses it"... That made me laugh and forgot to think about the riddle 😂😂
I really enjoyed the background music and the riddle was quite fun!!!
0:57 As if going in wonderland wasn't weird enough the least you would expect is *four odd looking soldiers* approaching you.
Ted ed: Can you solve the Alice in Wonderland riddle?
Me: probably not, but you know I'm gonna watch it anyway.....
The situation is hilarious when you think about it.
Queen: 64 is 65!
Alice: No!
Queen: _So you have chosen death_
I always wondered! Thank you!
step 1: confirm you have green eyes.
step 2: Ask the diagonal sides to leave.
Step 2 is what a karen would do.
uhh ?
@@sukhchain9696 It's another video from TED-Ed, the link : ua-cam.com/video/98TQv5IAtY8/v-deo.html
I mean the green eyes
@@icarus3224 okay thanks...now i understand the joke
B-but... she doesn't have a shrinking potion after the beginning. She's got her mushrooms! (Don't mind me, I'm just salty I can't put math into words)
This is a new, different adventure :)
😒I thought you meant the riddle of why a raven is like a writing desk. I didn't think you were gonna hit me with math and then an Ad.😒
I thought the riddle is about "why is a raven like a writing desk." Ha ha! 😀 😀
These riddles are always so interesting and I love how they are being presented. I admit, I couldn't solve this riddle by myself, but now I know the explanation and the Fibonacci numbers, so I'll know what to do next time)
This is basically
*"The Infinite Chocolate Bar Trick"* the question
This is one of the few I was able to solve. Thank you Geometry class
I love how I thought of this really long and hard but didn't even get close to the answer
Yay.... TEDEd is back with Riddles😘
Looking forward to see more...........
This riddle was, wonderful hehehe
Yeah, I have also noticed that combination of these diagonal lines adds some lenght. Not sure if my reasoning is right, but what I did is I used a Pitagorean theorem in to measure these diagonal lines. It won't give accurate results, but in short, a hypotenuse of 8 and 3 is a square root of 73, which is around 8,544 and a hypotenuse of 5 and 2 is a sqr of 29 which is around 5,385. When you add up these numbers, you will get ~13,93. As you can notice, it is almost 1 more than the length of the 12 which makes a base length of that second rectangle. Not exact 1, but close enough to give you some idea.
I read this one in a book a couple of years back, first riddle I saw from you guys I could solve
To get the limit solution: (1) Start with a rectangle with an aspect ratio of phi^2 to 1 (2.618:1). (2) Cut the rectangle along the diagonal, so you end up with 2 congruent triangles with the same aspect ratio. (3) Lay the triangles one on top of the another and align them so they appear as one triangle. (4) On the longer side of the triangles, mark a perpendicular line at phi^-1 (0.618) of the way in. (5) Cut the triangles along the marked line. (6) Rearrange the resulting triangles and trapezoids into a square. In the limit case, you should not have any excess or missing material.
Me a being beyond mortals and gods: *Pushes queen into guard* then *drinks shirking potion* and runs into bushes
Queen : Explain how 64 and 65 are different!
Alice : ozo
Okay I am going to use this comment as a notepad while solving the puzzle because I am on a phone.
1. The easiest way to prove something wrong, is by seeing what happens if we assume it is right. We can ignore the 8x8 and 5x13 shapes because they both ( if the queen is right ) must be the sum of the 4 shapes so the first step should be to find the area of each one.
2. The area of both trapezoids are the same as the area of a square and a triangle that form them so it is equal to (5x3)+1/2(5x2)=15+5=20 square units each. Also The area of the triangles are 1/2(8x3)=12
3. The total area of the shapes is 20+20+12+12= 64 making it clear that the queen is cheating in the 65 grid. In the 65 x 65 grid, there is a clear diagonal line that runs from 2 corners. If the queen is true, the. The sum of the area of the trapezoid and the triangle is half of 65. But half of 65 is 32.5 and the sum of the 2 pieces are 32 clearly proving that the pieces do not exactly equal 65
4. Now with all this evidence, all that is left is to find the location of the missing square. Clearly the trickery is inside the diagonal line that divides the 2 sections of the shape. I think that the missing square is somewhere in the middle of the line, I am not sure where. I am pretty confused here and am going to stop now
Edit: OH MY GOD WHY DIDNT I THINK ABOUT THE SLOPE I WAS SO CLOSE
👶🏻 KIDS are SOLVING RIDDLES
😉 LEGENDS waiting for PAUL RUDD
😁
I couldn't solve the riddle but learnt something new.
It's 'ch' as in 'choke', not like 'ch' as in 'school' in Fibonacci.
Alice: Hold on and give me five seconds to figure this out.
The queen: happens to say ok.
this is way too good, I love it
Ted ed: Can you solve-
Me: No. No, I can't
Sherlock Holmes: exists
Me who manages to solve the riddle: I’m about to end this man’s whole career
I should be coming for the riddles.
I came for the art direction.
God that Alice design is like
perfect.
2:07. There's your answer. The gap is already visible. Alice is mad to not have noticed it.
Damn, didn’t know Alice had the ability to perfectly mesure the length of geometrical shapes and calculate equations straight out of her mind . Could have served purpose in the films .....
Nobody did this yet so here I go:
Confirm to the queen that your eyes are green and get out
But Alice's eyes are blue
FINALLY A TED ED RIDDLE I WAS ABLE TO SOLVE WITHIN THEIR TIME FRAME & BEFORE THEY EXPLAIN IT
This one is kinda easy when you second guess how the slope would continue from each shapes. I love how this riddle needs Alice in Wonderland. It's fitting! Another thing I love is the secret of fibonacci numbers that make this puzzle possible.
Someone replied that Carol was a mad man when he wrote about his book: but I love how its problem got me so addicted.
Thank you Ted ed
this kind of hidden cut is also used on that "infinite chocolate bar" gif
Love these lessons
I got one right finally! I was literally like there is no way the slope of those are the same. There has to be some gaps in there that account for the extra square. Didn't use math, but I still count it as a win.
I almost gave up,
but the faith of believing in science eventually let me solve this riddle.
Good video👏
This is one of those situations where your math teacher will say ......
SHOW ME YOUR WORK!
never knew it could be so interesting!
I've had experience from the Mathologer. He's discussed this and goes into great detail behind this puzzle (and a couple others too) in his toroflux video
"I dare say you haven't had much practice. When I was your age, I used to believe six impossible things before breakfast."
What is truly sad is that he used the pen name Lewis Carroll in his fictional works to disassociate them with his work in the mathematical profession. Instead, the name of Charles Dodgson has almost been lost.
This riddle reminds me of that Hershey chocolate optical illusion where you break one piece off and cut the chocolate and it looks like the same chocolate bar.
i just love all this riddle
it help you think
there also those information video
it helped me in class ngl
that was so fascinating !
But I don't know my geometry.
* guillotine going down *
Sorry Alice
After watching the video I got in a real puzzle. Despite that having 64 and 65 being the same it's still different, even in the fibonnachi sequence that tells them that their the same it's still isn't fully calculated to fill the whole checkerboard. But if that small gap on the 5x13 checkerboard is that missing square they wouldn't be able to know that small gap's true area. In the video they said the slopes length in the shapes are 0.4 and 0.375, the area is 0.15. The 8x8 fills in with the shapes that explains it's 64, but in for 5x13 that equals 65 and you minus 0.15 it's 64.85 making it greater than 64
Beautiful artwork.