a convex polyhedron whose every face is the same regular polygon (and, to be precise, such that the same number of faces surround each vertex)

a convex polyhedron whose faces and vertices are all of the same type

a convex regular polyhedron all the faces of which share the same regular polygon and having the same number of faces meeting at all its vertices

a multifaceted three-dimensional object (or polyhedron), all of whose faces are identical regular polygons

a polyhedron all of whose faces are congruent regular polygons, and

a polyhedron - a three-dimensional figure - whose faces are all congruent regular polygons (two-dimensional shapes bounded by straight line

a polyhedron whose faces are all regular polygons of the same size, with the same number of faces meeting at every vertex

A convex solid composed of identical regular polygons. There are exactly five Platonic solids.

In geometry, a Platonic solid is a convex regular polyhedron. These are the three-dimensional analogs of the convex regular polygons. There are precisely five such figures (shown below).