No because hexagons are 6 sided polygons whereas pentagons are 5 sided polygons
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Squares are regular all the time. Diamonds, hexagons and pentagons are sometimes regular.
A polygon can be equilateral but not always equiangular. Some examples of this are rhomboids and other polygons like pentagons and hexagons.
It need not have any. Like tennis balls, they can be made up of non-polygonal shapes.
I believe that would be the truncated icosahedron! It is pentagons and hexagons, right? Here is a site with pictures:http://www.faculty.fairfield.edu/jmac/rs/polyhedra.htm
Some examples of polygons include circles, triangles, squares, rectangles, pentagons, and hexagons. These are examples of 'simple polygons,' in that none of the lines overlap and intersect each other, such as in a pentagram, which is a 'star polygon.'