Polyhedra (plural; singular = polyhedron)
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They are both 3 dimensional shapes with faces that are polygons.
Yes and its flat surface faces are in regular shapes.
Polyhedra are 3-dimensional shapes bounded by polygons. Polygons are flat [plane] shapes bounded by straight lines. So a polyhedron cannot have any curved faces.
Any convex three dimensional figure with straight edges (or plain faces) will have polygons for bases so there is an infinity of such shapes.
Yes it is. It's faces are different polygon shapes such as square, triangle, etc.... To see images and builds of polyhedrons go to this site: korthalsaltes.com