An equilateral polyhedron is a polyhedron whose edges are all of equal length.

Platonic solids, Archimedean solids, canonical antiprisms, and canonical prisms, Johnson solids, and the Kepler-Poinsot polyhedra are all equilateral.

Two of the 13 Archimedean duals--the rhombic dodecahedron and rhombic triacontahedron--are also equilateral. 22 of of the 75 uniform polyhedra are also equilateral.