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!Fancy polygon

Author: anonymous
Problem has been solved: 38 times

Русский язык | English Language

The vertices of a regular polygon lie on the surface of a unit cube. Let $x$ be the greatest possible side length of such a polygon having the largest possible number of sides. Find $\left \lfloor{1000x}\right \rfloor $. Note: the polygon plane does not contain a cube face.

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