A Nice Slice of the Cube

Geometry Level pending

For which integers n n can regular n-gons can be produced as 2D planar cross-sections of a cube?

For example, the picture above is an example of how to produce a square, the regular 4-gon.

3, 4, 6, 8 3, 4, 6 3, 4, 5, 6 3, 4, 5, 6, 8 3, 4, 5 4 3, 4

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