- Thread starter
- #1

- Mar 22, 2013

- 573

Hi, MHB.

I have decided set up a thread on collection of most bizarre statements of mathematical problems. I have thought of some, and I hope other MHB members would add some - it would be fun! The statement of the problem you are going to post should be

1) Very weirdly related to the reality

2) Must seem unapproachable in terms of mathematical language at a glance

3) Very tough to solve even if described mathematically

4) A little famous in mathematical community.

Here are my choices :

Theorem (Toeplitz, partially solved by Stromquist) : Every simple closed curve that you can draw by hand will pass through the corners of some square.

Theorem (Brouwer, solved by Hadamard & Brouwer) : You have two identical pieces of paper with the same picture printed on them. Put one flat on a table and the other one you crumple up without tearing it and place it on top of the first one, then there is some point in the picture on the crumpled-up page that is directly above the same point on the bottom page.

Balarka

.

I have decided set up a thread on collection of most bizarre statements of mathematical problems. I have thought of some, and I hope other MHB members would add some - it would be fun! The statement of the problem you are going to post should be

1) Very weirdly related to the reality

2) Must seem unapproachable in terms of mathematical language at a glance

3) Very tough to solve even if described mathematically

4) A little famous in mathematical community.

Here are my choices :

Theorem (Toeplitz, partially solved by Stromquist) : Every simple closed curve that you can draw by hand will pass through the corners of some square.

Theorem (Brouwer, solved by Hadamard & Brouwer) : You have two identical pieces of paper with the same picture printed on them. Put one flat on a table and the other one you crumple up without tearing it and place it on top of the first one, then there is some point in the picture on the crumpled-up page that is directly above the same point on the bottom page.

Balarka

.

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