symmetry of the entire figure by translations, rotations, and/or reflections that maps A onto B. For this reason, convex isohedral polyhedra are the shapes...

different uniform colorings. Edge-transitive (Isotoxal figure) Face-transitive (Isohedral figure) Grünbaum, Branko (1997), "Isogonal prismatoids", Discrete...

They are all isohedral. Each has parametric variations within a fixed symmetry. Type 2 contains glide reflections, and is 2-isohedral keeping chiral...

and isotoxal, but not isohedral. Their duals, including the rhombic dodecahedron and the rhombic triacontahedron, are isohedral and isotoxal, but not...

called the great disnub dirhombidodecacron. It is a nonconvex infinite isohedral polyhedron. Like the visually identical great dirhombicosidodecacron in...

ratio) as its faces. The great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron with 30 intersecting rhombic faces. The rhombic hexecontahedron...

It can be described by the Conway notation dA6. It is an isohedral (face-transitive) figure, meaning that all its faces are the same. More specifically...

faces of the three octahedra; it is another of the known isohedral deltahedra. A third isohedral deltahedron sharing the same face planes, the compound...

two vertices are equivalent under symmetries of the polyhedron) is an isohedral polyhedron (one in which any two faces are equivalent [...]), and vice...

symmetry is a symmetry operation of (i.e. is included in) octahedral and isohedral symmetries, which is demonstrated by the fact that an octahedron can be...