edge of polyhedron
31Coxeter–Dynkin diagram — See also: Dynkin diagram Coxeter Dynkin diagrams for the fundamental finite Coxeter groups …
32Final stellation of the icosahedron — Two symmetric orthographic projections Symmetry group icosahedra …
33Polyhedral compound — A polyhedral compound is a polyhedron that is itself composed of several other polyhedra sharing a common centre. They are the three dimensional analogs of polygonal compounds such as the hexagram. Neighbouring vertices of a compound can be… …
34Polytope — Not to be confused with polytrope. In elementary geometry, a polytope is a geometric object with flat sides, which exists in any general number of dimensions. A polygon is a polytope in two dimensions, a polyhedron in three dimensions, and so on… …
35Digon — A degenerate digon with two coinciding edges sharing the same vertices Edges and vertices 2 Schläfli symbol {2} …
36Icosahedron — In geometry, an icosahedron (Greek: eikosaedron , from eikosi twenty + hedron seat; IPA|/ˌaɪ.kəʊ.sə.ˈhi.dɹən/; plural: drons, dra IPA|/ dɹə/) isany polyhedron having 20 faces, but usually a regular icosahedron is implied, which has equilateral… …
37Truncated octahedron — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 14, E = 36, V = 24 (χ = 2) Faces by sides 6 …
38Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane …
39Snub cube — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 38, E = 60, V = 24 (χ = 2) Faces by sides (8+24){3}+6{4} …
40Semiregular 4-polytope — In geometry, a semiregular 4 polytope (or polychoron) is a 4 dimensional polytope which is vertex transitive (i.e. the symmetry group of the polytope acts transitively on the vertices) and whose cells are regular polyhedra. These represent a… …
