ฝัง
- เผยแพร่เมื่อ 27 มิ.ย. 2018
- Practice more problem-solving at brilliant.org/TedEd/
Dutch artist Piet Mondrian’s abstract, rectangular paintings inspired mathematicians to create a two-fold challenge. Can you solve the puzzle and get to the lowest score possible? Gordon Hamilton shows how.
Lesson by Gordon Hamilton, directed by Anton Trofimov.
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Practice more problem-solving for free at brilliant.org/TedEd/! Also, if you sign up for a PREMIUM membership using this link, you will get 20% off the annual fee. Now get to riddling!
Ted Ed second reply
3rd! I will sign up!!!
Bad typography. Please don’t confuse × (multiplication sign) and the letter x.
Did you forget to add the bonus riddle?
00:30 2X2 is not a rectangle I believe. It’s a square.
"What should we do for the bonus riddle?"
"Lets take the riddle and just make it bigger"
*Brilliant*
Lelouch Yagami Try the 80 × 80 & 60 × 60 squares.
Lelouch Yagami everything is bigger in texas
Jared Schreckengast
I guess this will be faster and easier to solve with a computer.
Maby you let the computer calculate all possible combinations of squares to get 6400 and then try to arrange them on the 80×80 grid yourself (because this step could be difficult to code).
You could've made a pun aswell
"Brilliant" instead of "Genius"
nooooooo
Cover the entire canvas with a single 8x8 rectangle.
Largest rectangle: 64
Smallest rectangle: 64
Score: 0
I win.
@@ravikotapati9253 All squares are rectangles, even if not all rectangles are squares.
They are overlapping
For some reason I can’t argue with that
That's wrong
You have to DIVIDE the rectangle
so the smallest rectangle has size 0
Score is 64, the max possible
If smallest is 64 and largest is 64, total area is 64n, Ave repetitions aren't allowed
Genius
I stopped at the “pause here” and basically spent 5 hours of my free time in the next 2 days trying to solve this and I finally got the best solution possible!! I was so proud of myself and I love this riddle and their riddles in general.
Josh Schilling Well done!
Congratulations!
I don’t have that kind of dedication, good job mate.
Josh Schilling good for you dude! Proud of you
I did the same exact thing except I got 8 so I was close enough 🤷🏽♀️😭😩
“Can we do even better? No.”
Me: Oh thank goodness
I know that I will not take the time to solve this, but I still watch it anyway!
Tc I tried and got 8 as the lowest. Pretty sure I could do better but eh, I'm bored right now :P
I solved the fish riddle and Einstein’s riddle but thats all
same
You don't solve them because they're boring. That's my opinion. This one is not about creative thinking , it's about doing a lot of high school math for nothing. No one wants to do that. Some of the older riddles were more creative, that's why we couldn't help trying to solve them.
Yeah me too.
These riddles are my favourite type of Ted-ed videos, anyone else?
me
Another One!
Yup
Same
I love them!!!
Step 1: Confirm you have green eyes
Step 2: Ask the canvas to leave
You got an achievement! (Impossible Green Eyes Comment)
Step 3: Escape the temple with two fibbers.
@@NeonBigDummy Step 4: Take 98 coins to yourself, give 1 to Charlotte and 1 to Eliza
@@bazibon1506 Step 5: figure out mask color
Step 6: Dance
step 7: ask the smallest rectangle if they would reply Ozo if 2 + 2 = 4
With this kind of voice narration, this question feels like a matter of life and death.
There seems to be a growing trend of TH-camrs using these really creepy, unnatural, slightly arrogant, emotionless, grating voices for their videos. I don't like it and don't see why people can't just speak nicely. You wouldn't speak to a person this way in real life, so why speak to thousands of people this way on TH-cam?
@@Scripture-Man I think it's a really soft voice and I quite like it. Also, how is it any of those things you suggested? Maybe it is just his natural voice? Maybeits his equipment? I don't know, and i don't know why you do.
Anyone else always just watch these riddle videos till the end but never even try to resolve them ?
yes hahaha
Egy Rinaldi-Putra same
Me😂
Yes
yeah
More riddles please I can't get enough of them! They're my favourite type of video you guys make.
I never even attempt these riddles cause they melt my brain, but i absolute love watching them. So satisfying.
What I did:
I wrote out the possible areas and ordered them. Then I tried to make 64 using various combinations. Through desperation and figuring out the "odd rule" mentioned in the video's solution, I came across the 8-8-10-12-12-14 combo. It fit in fine, but I still felt like there was a better solution. I tried for quite a while after that, but I didn't even find the second solution in the video. In the end, I felt I had failed, and even when the answer came up in the video, I feel more like I lucked out than figured out.
"Cover a square with non-identical rectangles"
Uh... How about the entire square? Squares are rectangles, so that is one too. It's unique since there can't be two of the same if there's only one. Its sides are whole numbers. It covers the entire area. The score is 0, you can't go lower than that since MAX >= MIN, so MAX - MIN >= 0. It doesn't even matter what size we're supposed to cover (assuming it's whole by whole, which it has to be or you'd never cover the entire thing no matter what), we're done here.
umh...U got a point...
Rectangles, not rectangle
@@StefV153 That is the intention for this problem, yes. But the usual convention in math says that any number is good (including 1, or even 0 though that's not applicable here), unless specified otherwise. The point is they technically should have specified it's 2 or more, and no, using a plural of "rectangles" here is not good enough.
@@abdulmasaiev9024 well thats the problem with videos like these: the problems arent written in mathematical language but in English, which automatically makes it dependent on it. In English, a plural in this situation always means more than or equal to 2. In this type of problems, English conventions > math conventions
@@StefV153 Almost all problems are written in some spoken language, so that would mean that math conventions almost never trump in math. This is an absurd idea. Domain specific conventions always trump more general conventions when they're in conflict within that domain. This is a math problem so the math convention trumps, and not at least acknowledging the math convention is sloppy at best.
I get anxiety from riddles.. Still great video Ted :)
I get anxiety from math. And I think I just went psycho...
Harshil Patel dude you're everywhere
Harshil Patel
Argh I just blew my brain cells
Wait, i see you everywhere
Ted: *Goes into lots of math to determine smallest possible number*
Me: *Draws chart and gets 12-12 on the fourth try*
Love Your Riddles
Yay another TED-Ed riddle video
Ted-Ed:A 2*2 rectangle will be fine.
Me:That's a square
Same!
Squares are a subset of rectangles. All squares are rectangles; not all rectangles are squares.
Do you know that.....
Squares are literally rectangles?
Thank you very much TedEd!🤗🤗
Please keep uploading riddle videos.
Love from India❤️❤️
I always wait eagerly for ted-ed riddles.
Yay!!! A New Ted Ed Riddle!
😊
That opening quote tho
rising raisings Your profile pic made me wonder if there was a hair on my screen
Ha you never got me with the hair trick cuz I put my settings on dark mode
I love ur guys’ riddles!!!
easy, fun, comprehensible. great as always :)
*_Answer: No, I can't_*
Wow you copied every part of that
235 likes and one reply? Strange... Oh, I guess two now.
Not so fast, Kevin!
Only five comments...
Justin Y. *WHY DO I SEE YOU EVERYWHERE? You watch everything!*
RIDDLES MY FAVOURITE!
These puzzles are the best thing of this channel!
I love the animation style on this video!
I've never been feel so confused in my life
same.
Three gods riddle - Amateurs
Ridddlllleeeesss... I like those but your are on next level🔥
Wow this is making my brain burst. I come every day to ted to learn something. It helps a lot in your knowledge and english!
Loveeee your videos!!!!!!!!!
Keep up the awesome work!!!!!!!!!!
In my head I can get 9 on the 10x10: 20,24,21,20,15. 10,2. 8,3. 7,3. 5,3 5,4. You can reput it together by matching pieces with a common number and adding the others.
10,10 becomes 10,2 and 10,8. Which further becomes 10,2 3,8 and 7,8. 7,8 becomes 7,3 and 7,5. 7,5 becomes 3,5 and 4,5.
Why you gotta poke my brain, Ted-Ed
Why do you use like bots, Software Man?
Nice riddle I liked it!
Got the right answer in allmost the exact same way, using the exact same reasonings along the way! Quite proud :D
Being a web developer, every canvas reminds me of CSS Grid.
New challenge. Sneak Mondrian square solutions into the layout of websites.
Chris Daley that would be a cool idea
Doing this on a website will make it look aesthetic
Being A Pro what’s CSS Grid?
If you want people to hate you web site, you can put modern art on it. I would recommend against it though :x
1. You must cover a square canvas with non overlapping rectangles
2. A(largest) - A(smallest) = score
The lowest score you can get for a square is 0 by simply not dividing. For an 8x8 (largest = 64) (smallest = 64) so 64-64 = 0
3x3 squares are aloud and as such a square with full dimensions should also be allowed. It fits the rule stated by covering the entire canvas and never overlaps.
Yay 😁 another riddle!!
I studied Piet Mondrian's art and even did one like hime, and now I hear there's a whole complicated math stuff and now I'm just... clueless. Either humans are creative, or creative in finding ways to make easy stuff hard. either way, Ted-Ed helps me learn :D
I tried it, and I got a score of 2 on a 100x100 square
how pls tell us
Where’s the bonus riddle?
Love these riddles
This channel is becoming mathematics riddles channel
In the words of Rick Sanchez: "Sometimes science is more art than science."
Some people don’t get that
@@littlefishbigmountain like me please explain
3:04
Is nobody gonna talk about the two rectangles with an area of 48 having the same dimensions?
bruh your right
Yes
Piet Mondrian is my favorite artist of all time 🖤🖤🖤🖤
Omg actually got this one right
Love these
I think you must be missing a rule from this. Regardless of the grid size, you should have one rectangle occupying the whole grid. It will be both the largest and smallest rectangle you have, which awards the perfect score of 0.
Huh?
waiting so long for this
This is the first Ted-Ed riddle that I actually solved and got 6! which was the right answer!!! I feel so accomplished 🤓
Damn, one time I open a video from Ted - ed with less that 100 comments. GREAT VIDEO, keep it up
At quick glance I thought the title read "Can you solve the Mandalorian's squares riddle?"
I think it can be solved mathematically as an integer linear program (ILP) with objective function of minimizing the sub within the constraints.
Yay! Another riddle!!!!!!!!!!!!
Score 4:
2×7, 2×8, 4×4, 3×6
But there is no possible way (configuration) to get these parts into the 8×8 square.
Score 6:
2×4, 1×8, 2×5, 3×4, 2×6, 2×7
(The configuration is pretty easy, since there is always only one sensible option to place the longest part left. There is another way to get 6 (with 2×8 instead of the two pieces with area 8), but I didnt look for a configuration.
Score: 7
1×5, 1×6, 2×3, 2×4, 1×8, 3×3, 2×5, 3×4 or 2×6
(I didnt find a configuration, but maby there is one.)
Score: 8
1×4, 2×2, 1×5, 1×6, 2×3, 1×8, 3×3, 2×5
(Almost the same as the one before, but I found a possible configuration for this one.)
"Can you solve the Mondrian Squares Riddle?"
Me: No.
The pain from previous riddles actually made me this excited for getting it right. *Ted-Ed, what have you done to my brain?*
oh my good..this is so cool! Once you understand how it works it's a superb brain game 😊 thanks!
*_Best and (by far the most) beautiful Ted-Ed animation!!_*
Nah
This is one of their better ones, imo.
th-cam.com/video/VLkKiVIBxXU/w-d-xo.html
*Fake* *Justin*
I got 10 :'(.... lol at least i tried
Noor Khudair I got 8 but don't worry, you get better each time :)
I.T Siddique oh you were so close! ...thank you
I managed to get 6... am I the only one?
@@nishantbalajee6908 which one
@@nishantbalajee6908 8x8?
I got 6 for 8x8 and 3 for 4x4
I JUST BACK FOR WATCHING TAD-eD AND I CAN'T STOP LAUGHING AFTER THE INTRO.
Subscribed for riddles!!!!!!
I can never solve these but I always watch to see how a genius would solve things 😂😂
Where is my bonus riddle... Even TedEd is clickbait now wow
Anthony El-Khoury bonus riddle is at the end of the video.. The advertisement hahahhah!!
the bonus riddle is to try to get the lowest score for a 4x4 grid, 10x10 grid, and 32x32 grid. watch from 4:06 - 4:22
Anthony El-Khoury I don’t think you understand. It’s a bonus for a reason; not all videos *has* to have a bonus. And even if it doesn’t that doesn’t make it click bait, since the video solved the problem stated by the title...
bob Bob 0:02 "Stick around after this episode for a bonus riddle"...
Just liked the riddle!
Yay! I got it. Good riddle, it was fun to solve
This is not a riddle. Its more of a math lecture.
As a math lecture it's pretty terrible. No theorems, no proofs, no algorithms.
Jonathan Sharman yeah. The numberphile video on the same topic is a better watch..
But... this is not math channel... of course the explanation isn't detail....
I agree that it's not a riddle. Riddles involve solving a particular problem or conundrum with a particular solution or explanation. This is more of a game than a riddle. Plus the video completely fails to give the best answer, which is to always use a single square, giving a score of 0 every time.
Lee Bee from first rule it states "rectangles" which means there must be more than one rectangle.
Whaaaaaaaaaat
yay new riddle!
Ted-Ed: Try this 8x8 canvas one!
Me: I don't have a damn 8x8 canvas
Why is this video not in the riddle playlist?
*TED ED SJR /MAM* i don't know how many times I have made this request.. But again..
*Sir please make a lesson on why different countries have different economy... What it means and related information... Please sirrrr/mammm*🙇🙇🙇🙇🙇🙇🙇🙇🙇🙇🙇🙇🙇
Light Yagami why do you say sir/mam LOL. Its not one person that's behind these wonderful and intricate videos but a whole team of people working together with the goal to educate.
Kitty Max I only see Indians saying, sir/madam in videos like these. Would love to know why this "sir/madam" thing is so widespread among them.
Light Yagami
Here’s a video mate
th-cam.com/video/9-4V3HR696k/w-d-xo.html 😉
Hope it’s of some use to you
Thanks Hana 🤗🤗🤗...btw we say sir/mam bcoz we are taught that in our school 🙃
Too bad you aren't taught how to compose text decently. Or even spell.
*Understand=yesn't*
I finally have a ted-ed riddles success streak of 3! Not tryna brag, just happy that i actually got some of them xD Kudos to you if you got it too!
You should do more vids on gods and heros and stuff. I love them.
I have the lowest score ever at every size!
Heres one of them:
Lets take a 5 by 5 grid.
Now put a 5 by 5 square in there.
Now all the surface area is filled.
The biggest area is the 5x5 square.
The smallest area is the 5x5 square.
This gives us the sum (5x5)-(5x5) = 0
So I got zere which is I think the best you can do!
(For the people who dont get it, this is a joke)
Strange Animations actually even tho it is a joke ur score would be 25 because ur larger square is 5x5 and ur smaller square is 0
Sack Monster I’ve drawn it, and I don’t see a smaller square ;)
He should have mentioned "natural numbers" in the instructions instead of "whole numbers" .
Sack Monster
if the smaller square is size 0, then all of the answers would be simply the size of the larger rectangle, since it would be: Larger - smaller= Larger - 0 = Larger
u r genyus
My score is two.
I have to scroll down this far to find the right answer.
Christian What, i think the ans can be 2 in 8×8 board...
My answer is 2 if 3x3 rectangle is allowed, and if it's not allowed since it's technically a square, then my lowest answer is 6, too.
Christian What
a square is a rectangle and is allowed 0:28 .
And an answer with score 2 is impossible using an area 9 rectangle, since that would mean that the biggest and lowest area used were between 7-10, since there are no rectangles of size 11 that fit in the 8x8 space.
there is 1 possible rectangle for sizes 7,9[the 3x3 one], and 10, and 2 of area 8 [2x4 and 1x8].
7+8+8+9= maximum of 32 of total area, only half the space you needed to fill.
8+8+9+10= maximum of 35.
If I have made any mistake, then please tell me what is wrong with my argument. And sorry for bad english
Abhinn Krishn Show/describe us your canvas then
I’ll just leave the canvas full. 64 - 64 = 0, perfect score.
I couldn't couldn't find this one on the riddle playlist... you mind adding it?
If You do a 8x8 square the score becomes 0. Because 64-64 is 0.
CubeChickN but the square has to be covered by multiple rectangles and 8×8 would only be one
The score will be maximum not minimum in your case 64-0=64
Did it it did not say at 1:38
(largest) - (smallest) 64-64 right
CubeChickN you get the smallest rectangle and subtract it from the largest. So if you do 8×8 you will get 64 which is the biggest and subtract 0 from 64 equals 64 in math it's 64-0=64
Please not math
But what is the minimum possible score for any square (excluding 1×1 and 2×2 because it's impossible for them)?
Simple differentiation and you're done!
*_No_*
Not a fan of these overly mathematical riddles. You used to be so much better TedEd.
Waaaaah this doesn't appeal to me personally so TedEd is worse!
The mathematical riddles are great!(unlike this one) This follows no formula so is hardly mathematical.
Harder is better, since you think the mathematical riddles are hard or bad, I'm guessing you aren't the best at them, and thus could use some practis.
True "mathematical riddles" are just math. They are not fun and usually quite simple.
I'm not a fan of the Islamification of Europe but sometimes you just gotta deal with it
I’m just so confused on why I search up ted ed riddles, go through the playlists, and then more riddles pop up from less than a year ago. Where did they come from????
For a 4*4 are two probabilities, The first 2*1+3*2+4*2 whit a Score of 6, and 3*1+4*1+3*3 whit The same Score
No, actually, there's also 2x1, 2x2, 2x3,and 4x1, for a score of 4. No one said we can't have four.
Can you stop calling your titles riddles, and call them math puzzles. I know it’s a mind teaser, but this isn’t a riddle. It’s not a play on words, idioms, and concepts. These are all advanced and interesting math problems. Not riddles.
Every time I go to brilliant.org it always displays easy problems to me.i can't find any difficult one.
I will rate those questions 1/10 and your video 10/10 on basis of hardness
Keep it up Ted Ed!
I'm sorry for thinking irrelevant thoughts but my eyes literally widened when I saw "Gordon Hamilton".
I LOVE youer videos
omg i love the minimalism
I got lost pretty early but I feel like I still learned something 😂😂😂
love how he says a "2x2 rectangle", i think you mean a square
It is technically a rectangle as well.
Is it a coincidence I literally was learning about Piet Mondrian in art at school before watching this
0:28 *A 2 by 2 rectangle*
2:34 *2 6 by 8 rectangles exactly the same*
Artist: "I made this art piece as an expression of uniformity and structure."
Professor Layton: "Luke my boy, this painting reminds me of a puzzle!"
At 2:40, the list of possible rectangles is faulty. You are missing the 3x7 and 4x7 ones (and the 8x8 one to be complete though you probably left it out on purpose) but you got the 6x8 one twice. Noticed it as there should be 1+2+3+4+5+6+7+8=8x9/2=36 possible rectangles in total.