## Three Polygons

Three regular polygons, all with unit sides,
share a common vertex.
Each polygon has a different number of sides, and each polygon shares
a side with the other two; there are no gaps or overlaps.
Find the number of sides for each polygon.
There are multiple answers. Can you find them all?
Can you find a set of polygons that meet the above criteria if there are
more than three polygons?

Source: Original.

Solution

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