Problem

A flooring is done with identical tiles in the form of a regular n-polygon. What might be the value of n?

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Solution

Dear visitors and friends of Poematics!

Thank you for you answers and solutions.

There were good ideas, but nobody has succeeded to provide a complete solution.

Here is my solution:

To make a flooring of identical regular n-polygons, we need that the interior angle of this polygon be a factor of 3600. Thus n can be 3, 4 or 6, representing respectively regular triangles, squares or hexagons.