Mystery shape this time...

Geometry Level 2

Does shape with the following features exist:

  1. It is a regular 2D polygon.

  2. If it is rotated through 50°, it will fit back exactly to its original shape.


BONUS:

If you choose "No", prove why such a shape doesn't exist.

If you choose"Yes", find out the least number of sides that this polygon can have?

I don't know This is too complicated Yes No

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1 solution

Michael Mendrin
Aug 15, 2018

Consider a 360 sided regular polygon. Then rotation by any integer number of degrees will make it fit back to its original shape.

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