In geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5,5/2} and Coxeter–Dynkin diagram of . It is one of four nonconvex regular polyhedra. It is composed of 12 pentagonal faces (six pairs of parallel pentagons), intersecting each other making a pentagrammic path, with five pentagons meeting at each vertex.
The discovery of the great dodecahedron is sometimes credited to Louis Poinsot in 1810, though there is a drawing of something very similar to a great dodecahedron in the 1568 book Perspectiva Corporum Regularium by Wenzel Jamnitzer.
The great dodecahedron can be constructed analogously to the pentagram, its two-dimensional analogue, via the extension of the (n – 1)-pentagonal polytope faces of the core n-polytope (pentagons for the great dodecahedron, and line segments for the pentagram) until the figure again closes.
and 27 Related for: Great dodecahedron information
In geometry, the greatdodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5,5/2} and Coxeter–Dynkin diagram of . It is one of four nonconvex...
stellated dodecahedron {5/2, 5}, the greatdodecahedron {5, 5/2}, and the great stellated dodecahedron {5/2, 3}. The small stellated dodecahedron and great dodecahedron...
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...
In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four...
In geometry, the truncated greatdodecahedron is a nonconvex uniform polyhedron, indexed as U37. It has 24 faces (12 pentagrams and 12 decagons), 90 edges...
dodecahedron are dual to each other. The small stellated dodecahedron and greatdodecahedron are dual to each other. The great stellated dodecahedron...
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of 12 regular pentagonal faces, three meeting at...
Schläfli symbol r{3,5⁄2}. It is the rectification of the great stellated dodecahedron and the great icosahedron. It was discovered independently by Hess (1878)...
as U36. It is the rectification of the greatdodecahedron (and that of its dual, the small stellated dodecahedron). It was discovered independently by Hess (1878)...
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. It is a Catalan...
polyhedra: small stellated dodecahedron, greatdodecahedron, and great icosahedron. They all have 30 edges. The regular dodecahedron can be faceted into one...
many relations with other Platonic solids, one of them is the regular dodecahedron as its dual polyhedron and has the historical background on the comparison...
of icosahedron and greatdodecahedron) and the great complex icosidodecahedron (compound of small stellated dodecahedron and great icosahedron). If the...
very similar figure emerges as a geometrical truncation of the great stellated dodecahedron, where the pentagram faces become doubly-wound pentagons ({5/2}...
latter forming a greatdodecahedron inscribed within and sharing the edges of the icosahedron. The great stellapentakis dodecahedron is a nonconvex isohedral...
truncated greatdodecahedron, and with the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the great dodecicosidodecahedron...
non-trivial stellations of the dodecahedron: Small stellated dodecahedronGreatdodecahedronGreat stellated dodecahedron This disambiguation page lists...
octahedron Compound of small stellated dodecahedron and greatdodecahedron Compound of great stellated dodecahedron and great icosahedron Wenninger, Magnus (1974)...
geometry, the great stellated truncated dodecahedron (or quasitruncated great stellated dodecahedron or great stellatruncated dodecahedron) is a nonconvex...
5 Platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively. The regular...
truncated greatdodecahedron and the uniform compounds of 6 or 12 pentagonal prisms. It additionally shares its edge arrangement with the nonconvex great...
dual polyhedron is the regular dodecahedron {5, 3} having three regular pentagonal faces around each vertex. The great icosahedron is one of the four...
octahemioctahedron, the genus-3 small cubicuboctahedron, and the genus-4 greatdodecahedron. A crown polyhedron or stephanoid is a toroidal polyhedron which is...
Global Information
