You have a square. Can you form an odd number of identical triangles inside the square so that the whole square is covered by triangles? Below is an example of 2 and 4 identical triangles.
Can you prove/disprove it?
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1Do you know how to resolve this question for any odd cases at all, for example $n=3$? – Lee Mosher Jul 23 '20 at 17:08
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short answer: no – Aniruddha Deb Jul 23 '20 at 17:21
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Do we have to assume that triangles do not overlap? – Basco Jul 23 '20 at 17:28
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8Monsky's Theorem – Aiden Chow Jul 23 '20 at 17:49