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...
16 KB (677 words) - 16:51, 8 March 2024
different uniform colorings. Edge-transitive (Isotoxal figure) Face-transitive (Isohedral figure) Grünbaum, Branko (1997), "Isogonal prismatoids", Discrete...
9 KB (694 words) - 09:42, 15 August 2024
Hexagonal tiling (category Isohedral tilings)
They are all isohedral. Each has parametric variations within a fixed symmetry. Type 2 contains glide reflections, and is 2-isohedral keeping chiral...
16 KB (1,286 words) - 05:18, 16 August 2024
and isotoxal, but not isohedral. Their duals, including the rhombic dodecahedron and the rhombic triacontahedron, are isohedral and isotoxal, but not...
11 KB (868 words) - 23:59, 21 April 2024
Great disnub dirhombidodecahedron (redirect from Skilling's figure)
called the great disnub dirhombidodecacron. It is a nonconvex infinite isohedral polyhedron. Like the visually identical great dirhombicosidodecacron in...
5 KB (428 words) - 12:36, 26 March 2023
ratio) as its faces. The great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron with 30 intersecting rhombic faces. The rhombic hexecontahedron...
16 KB (1,715 words) - 00:56, 14 August 2024
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...
5 KB (348 words) - 12:53, 6 August 2024
faces of the three octahedra; it is another of the known isohedral deltahedra. A third isohedral deltahedron sharing the same face planes, the compound...
10 KB (1,207 words) - 07:24, 30 June 2024
Dual polyhedron (redirect from Self-dual figure)
two vertices are equivalent under symmetries of the polyhedron) is an isohedral polyhedron (one in which any two faces are equivalent [...]), and vice...
18 KB (2,264 words) - 14:35, 3 July 2024
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...
26 KB (1,309 words) - 05:59, 3 November 2023