(with extra double-covered triangles) (with extra double-covered pentagons)
Wythoff symbol
3 5/3 (3/2 5/2) |
Symmetry group
Ih, [5,3], *532
Index references
U63, C79, W101
Dual polyhedron
Great dodecicosacron
Vertex figure
6.10/3.6/5.10/7
Bowers acronym
Giddy
3D model of a great dodecicosahedron
In geometry, the great dodecicosahedron (or great dodekicosahedron) is a nonconvex uniform polyhedron, indexed as U63. It has 32 faces (20 hexagons and 12 decagrams), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.
It has a composite Wythoff symbol, 3 5⁄3 (3⁄25⁄2) |, requiring two different Schwarz triangles to generate it: (3 5⁄33⁄2) and (3 5⁄35⁄2). (3 5⁄33⁄2| represents the great dodecicosahedron with an extra 12 {10⁄2} pentagons, and 3 5⁄35⁄2 | represents it with an extra 20 {6⁄2} triangles.)[2]
Its vertex figure 6.10⁄3.6⁄5.10⁄7 is also ambiguous, having two clockwise and two counterclockwise faces around each vertex.
^Maeder, Roman. "63: great dodecicosahedron". MathConsult.
^Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9. pp. 9–10.
and 20 Related for: Great dodecicosahedron information
In geometry, the greatdodecicosahedron (or great dodekicosahedron) is a nonconvex uniform polyhedron, indexed as U63. It has 32 faces (20 hexagons and...
icosidodecahedron Great dodecahemicosahedron Great dodecahemidodecahedron GreatdodecicosahedronGreat dodecicosidodecahedron Great icosicosidodecahedron Great icosidodecahedron...
one of the four regular star Kepler–Poinsot polyhedra. For example, the great grand stellated 120-cell, projected orthogonally into 3-space, looks like...
arrangement with the great icosicosidodecahedron (having the triangular and pentagonal faces in common) and the greatdodecicosahedron (having the decagrammic...
the Boys "Giddy", a 2023 song by Kep1er from the EP Lovestruck! Greatdodecicosahedron Giddy Goat, fictional animated goat All pages with titles beginning...
arrangement with the great ditrigonal dodecicosidodecahedron (having the triangular and pentagonal faces in common) and the greatdodecicosahedron (having the...
U63 may refer to: German submarine U-63, various vessels Greatdodecicosahedron Small nucleolar RNA SNORD63 This disambiguation page lists articles associated...
pairs. (Coxeter et al. 1954, pp. 423, 425, 426; Skilling 1975, p. 123) The great disnub dirhombidodecahedron has 240 of its 360 edges coinciding in space...
In geometry, the great dodecicosacron (or great dipteral trisicosahedron) is the dual of the greatdodecicosahedron (U63). It has 60 intersecting bow-tie-shaped...
subset of the snub polyhedron, containing the great icosahedron, small retrosnub icosicosidodecahedron, and great retrosnub icosidodecahedron) still have this...
In geometry, the small dodecicosahedron (or small dodekicosahedron) is a nonconvex uniform polyhedron, indexed as U50. It has 32 faces (20 hexagons and...
IX Garnett Municipal Airport FAA LID one of the indexes of the greatdodecicosahedron, a uniform polyhedron K-68 may refer to : K-68 (Kansas highway)...
ditrigonal dodecicosidodecahedron, and the small dodecicosahedron: Cartesian coordinates for the vertices of a great stellated truncated dodecahedron are all...
(having the triangular and pentagrammic faces in common) and the small dodecicosahedron (having the hexagonal faces in common). List of uniform polyhedra Maeder...
(having the triangular and pentagrammic faces in common) and the small dodecicosahedron (having the decagonal faces in common). List of uniform polyhedra Maeder...
Global Information
(with extra double-covered triangles)
