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For example, {3} is an equilateral triangle, {4} is a square, {5} a convex regular pentagon, etc. Regular star polygons are not convex, and their Schläfli symbols {p / q} contain irreducible fractions p / q, where p is the number of vertices, and q is their turning number. Equivalently, {p / q} is created from the vertices of {p}, connected ...
The concave equilateral dodecahedron, called an endo-dodecahedron. [clarification needed] A cube can be divided into a pyritohedron by bisecting all the edges, and faces in alternate directions. A regular dodecahedron is an intermediate case with equal edge lengths. A rhombic dodecahedron is a degenerate case with the 6 crossedges reduced to ...
Spherical dodecahedron: 5 3 {5,3} Semi-regular Spherical ... Triangular tiling: 3 6 {3,6} Hexagonal tiling: 6 3 ... Schläfli symbol Image Apeirogonal deltohedron:
26 Glyphs and symbols. 27 Table of all the Shapes. 28 References. Toggle the table of contents. ... Tetrated dodecahedron; Triangular bifrustum; Triaugmented ...
Among the fonts in widespread use, [6] [7] full implementation is provided by Segoe UI Symbol and significant partial implementation of this range is provided by Arial Unicode MS and Lucida Sans Unicode, which include coverage for 83% (80 out of 96) and 82% (79 out of 96) of the symbols, respectively.
The rhombicosidodecahedron shares its vertex arrangement with three nonconvex uniform polyhedra: the small stellated truncated dodecahedron, the small dodecicosidodecahedron (having the triangular and pentagonal faces in common), and the small rhombidodecahedron (having the square faces in common).
The dodecahedron and the icosahedron form a dual pair. If a polyhedron has Schläfli symbol { p , q }, then its dual has the symbol { q , p }. Indeed, every combinatorial property of one Platonic solid can be interpreted as another combinatorial property of the dual.
In geometry, the great stellated dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5 ⁄ 2,3}. It is one of four nonconvex regular polyhedra . It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.