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TopNewestInfinite chocolate! Time for Willy Wonkers to research into it :) – Calvin Lin Staff · 3 years ago

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The cutting line is not a complete straight line.

missing square = the difference between the actual straight line and the cutting line in this problem – Ossama Ismail · 3 years ago

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\[ \left| \begin{matrix} 0 & 3 & 5 & 0 \\ 2.5 & 3.5 & 4.5 & 2.5 \\ \end{matrix} \right| = 1 \]

(The above is known as the shoelace formula. You can calculate it the old fashioned way if you are unfamiliar with this.)

This accounts for the additional piece of chocolate.

YUM! – Calvin Lin Staff · 3 years ago

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– Kou$htav Chakrabarty · 3 years ago

It seems so.Log in to reply

– Naimish Khara · 3 years ago

right...Log in to reply

If you will see with full concentration at it you will found that the pieces of the block containing 3 rectangles has base which will gradually increases as it moves up you can see it by focusing it's a nice trick – Rohan Kumar · 3 years ago

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– Maharnab Mitra · 3 years ago

Yeah! You're right! Great observation.Log in to reply

The way it was cut diagonally resulted in a gap so small you can't visibly see which amounts to the "left over piece". – Venture Hi · 3 years ago

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I think if we analyze by taking screenshot of each section we can find that the shape at the edges is not correct after they connect .They changing the shape while connecting it again.

I have taken screenshot and attached in the following link.U can check the same and analyze. http://www.ltewirelesstech.com/2014/03/just-see-carfully-and-analyze.html – Sachidananda Sahu · 3 years ago

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never thought of this wooow.. – Tootie Frootie · 3 years ago

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I have a feeling that the diagonal line is being cut in such a way that \(\frac{1}{5}\) of each small piece/cell of chocolate involved in the cut is being added again, thereby making the whole chocolate cell adding process quite inconspicuous.

I'm probably wrong though. – Milly Choochoo · 3 years ago

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– Calvin Lin Staff · 3 years ago

That's actually very close to the truth! It's not a diagonal line that is being cut out, but more of a thin triangle.Log in to reply

This is merely a corollary to the Tarski-Banach Theorem, of course there's nothing funny going on here. If one can decompose a sphere and make 2 spheres, each the same size as the original, from it, surely we can make an extra chocolate piece here. – Michael Mendrin · 3 years ago

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Seeing is not believing. – Calvin Lin Staff · 3 years ago

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– Michael Mendrin · 3 years ago

Calvin, can't you see a joke? Bringing in the Tarski-Banach Theorem is like bringing in a flame thrower to kill a fly. Others here have already correctly identified the problem, kudos to these folks.Log in to reply

What do you think is the best way of explaining exactly how the Banach Tarski paradox works? – Calvin Lin Staff · 3 years ago

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This theorem does depend on the "Axiom of Choice", though, it presupposes that given any infinity of non-empty sets, it's always possible to create a set which contains exactly one element from each of those sets. This might seem obviously true, but, like the parallel postulate, nobody's been able to prove this. – Michael Mendrin · 3 years ago

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its nothing but a illusion that if go no to a series we come to first row last second piece (which is cutted half) while sliding(moving up) it increases in its size. I HOPE YOU WILL GET IT. – Kshitij Karale · 3 years ago

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Actually the size decreases! – Vasavi GS · 3 years ago

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– Daniel Wang · 3 years ago

or so they say.Log in to reply

– Kou$htav Chakrabarty · 3 years ago

But how? Ossama Ismail above also gave a possible way it decreases but still I haven't got it in my headLog in to reply

my Brain si Bleeding... – Chaidir D'dalz · 3 years ago

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The part which is cut from right and fitted into left, will not fit exactly because that is less than what was cut from left but it is depicted so in the animation and same thing for right side. and hence the additional piece of chocolate will not be there in reality – Govind Sharma · 3 years ago

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it is like the shifting of origin of perfect square – Roshan Kulkarni · 3 years ago

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Wow.......Can it be really happen?? – Monirul Haque · 3 years ago

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how can I post a picture????? – Rohan Kumar · 3 years ago

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(look here)option when you share a problem or note. – Kou$htav Chakrabarty · 3 years ago

There's a 'attach image'Log in to reply

– Rohan Kumar · 3 years ago

no in the comment boxLog in to reply

It has many choclate or uncountable choclate!!!!!! – Tejashv Chaturvedi · 3 years ago

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if you see with concentration you will find out that it is not possible, as size of pieces are not equal... – Naimish Khara · 3 years ago

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– Maharnab Mitra · 3 years ago

I also observed it. Clever trick!Log in to reply