edge of polyhedron
11Regular polyhedron — A regular polyhedron is a polyhedron whose faces are congruent (all alike) regular polygons which are assembled in the same way around each vertex. A regular polyhedron is highly symmetrical, being all of edge transitive, vertex transitive and… …
12Waterman polyhedron — Waterman polyhedra were invented, around 1990, by Steve Waterman.The Waterman polyhedra are created by packing spheres according cubic close(st) packing (CCP) and sweep away spheres that are farther from the center than a defined radius, the… …
13Noble polyhedron — A noble polyhedron is one which is isohedral (all faces the same) and isogonal (all vertices the same). They were first studied in any depth by Hess and Bruckner around the turn of the century (ca. 1900), and later by Grünbaum. Classes of noble… …
14Quasiregular polyhedron — A polyhedron which has regular faces and is transitive on its edges but not transitive on its faces is said to be quasiregular.A quasiregular polyhedron can have faces of only two kinds and these must alternate around each vertex. They are given… …
15Winged edge — The winged edge data structure is a commonly used data representation used to describe polygon models in computer graphics. It explicitly describes the geometry and topology of faces, edges, and vertices when three or more surfaces come together… …
16Table of polyhedron dihedral angles — The dihedral angles for the edge transitive polyhedra are: References * Coxeter, Regular Polytopes (1963), Macmillian Company ** Regular Polytopes , (3rd edition, 1973), Dover edition, ISBN 0 486 61480 8 (Table I: Regular Polytopes, (i) The nine… …
17Rhombicuboctahedron — The rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces. There are 24 identical vertices, with one triangle and three squares meeting at each. Note that six of the squares… …
18Dihedral angle — In aerospace engineering, the dihedral is the angle between the two wings; see Dihedral (aircraft). In geometry, a dihedral or torsion angle is the angle between two planes. Figure 1: Dihedral angle of three vectors, defined as an exterior… …
19Icosahedral symmetry — A Soccer ball, a common example of a spherical truncated icosahedron, has full icosahedral symmetry. A regular icosahedron has 60 rotational (or orientation preserving) symmetries, and a symmetry order of 120 including transformations that… …
20Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… …
