A polygon is 2-d. A wedge is 3-d. So the question does not make much sense.
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A pentagon if all sides are equal - if they are not it is called a polygon
A seven sided polygon
It would be a dodecagon.
The Pentagon is a famous building that has an unusual shape, that of a pentagon or 5-sided polygon. But most buildings are shaped like polygons. It is just that they are shaped like rectangles and squares, which are also polygons.
the pentagon