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Snub dodecadodecahedron information


Snub dodecadodecahedron
Type Uniform star polyhedron
Elements F = 84, E = 150
V = 60 (χ = −6)
Faces by sides 60{3}+12{5}+12{5/2}
Coxeter diagram
Wythoff symbol | 2 5/2 5
Symmetry group I, [5,3]+, 532
Index references U40, C49, W111
Dual polyhedron Medial pentagonal hexecontahedron
Vertex figure
3.3.5/2.3.5
Bowers acronym Siddid
3D model of a snub dodecadodecahedron

In geometry, the snub dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U40. It has 84 faces (60 triangles, 12 pentagons, and 12 pentagrams), 150 edges, and 60 vertices.[1] It is given a Schläfli symbol sr{52,5}, as a snub great dodecahedron.

  1. ^ Maeder, Roman. "40: snub dodecadodecahedron". MathConsult.

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Snub dodecadodecahedron

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In geometry, the snub dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U40. It has 84 faces (60 triangles, 12 pentagons, and 12 pentagrams)...

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Inverted snub dodecadodecahedron

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In geometry, the inverted snub dodecadodecahedron (or vertisnub dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U60. It is given a Schläfli...

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Compound of two snub dodecadodecahedra

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polyhedron compound is a composition of the 2 enantiomers of the snub dodecadodecahedron. Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra"...

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Snub icosidodecadodecahedron

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In geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U46. It has 104 faces (80 triangles, 12 pentagons, and 12 pentagrams)...

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List of mathematical shapes

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Small rhombihexahedron Small snub icosicosidodecahedron Small stellated truncated dodecahedron Snub dodecadodecahedron Snub icosidodecadodecahedron Stellated...

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Compound of two inverted snub dodecadodecahedra

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inverted snub dodecadodecahedra is a uniform polyhedron compound. It's composed of the 2 enantiomers of the inverted snub dodecadodecahedron. Skilling...

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Medial pentagonal hexecontahedron

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hexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the snub dodecadodecahedron. It has 60 intersecting irregular pentagonal faces. Denote the...

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Uniform polyhedron

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spherical tilings) Prisms P3... (truncated hosohedra) Antiprisms A3... (snub prisms) And a sampling of dihedral symmetries: (The sphere is not cut, only...

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Snub polyhedron

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In geometry, a snub polyhedron is a polyhedron obtained by performing a snub operation: alternating a corresponding omnitruncated or truncated polyhedron...

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List of Wenninger polyhedron models

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snub icosicosidodecahedron Small hexagonal hexecontahedron |5/23 3 3.3.3.3.3.5/2 Ih U32 K37 60 180 112 (40+60){3}+12{5/2} 111 Snub dodecadodecahedron...

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U60

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vessels HMS Alacrity (U60), a sloop of the Royal Navy Inverted snub dodecadodecahedron Small nucleolar RNA SNORD60 This disambiguation page lists articles...

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Icosidodecadodecahedron

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In geometry, the icosidodecadodecahedron (or icosified dodecadodecahedron) is a nonconvex uniform polyhedron, indexed as U44. It has 44 faces (12 pentagons...

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U40

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HMIS Narbada (U40), a sloop of the Royal Indian Navy Chile Route U-40, a road Snub dodecadodecahedron This disambiguation page lists articles associated with the title...

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List of uniform polyhedra by Wythoff symbol

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Snub dodecadodecahedron Siddid V 60,E 150,F 84=60{3}+12{5}+12{5/2} χ=−6, group=I, [5,3]+, 532 | 2 5/2 5 - 3.3.5/2.3.5 W111, U40, K45, C49 Inverted snub dodecadodecahedron...

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Regular dodecahedron

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unicellular phytoplankton algae). Dodecahedrane (molecule) Pentakis dodecahedron Snub dodecahedron Truncated dodecahedron Kai Wu, Jonathan Nitschke and co-workers...

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5

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abstract polyhedra, which include the excavated dodecahedron and the dodecadodecahedron. They have combinatorial symmetries transitive on flags of their elements...

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List of uniform polyhedra by Schwarz triangle

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triangle (2 3 4) that shares the same great circles. The truncated dodecadodecahedron, 2 5/3 5 |. While the Schwarz triangle (2 5/3 5) has density 9, recovering...

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Polytope compound

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enantiomorph pairs in Skilling's list does not contain the compound of two great snub dodecicosidodecahedra, as the pentagram faces would coincide. Removing the...

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Omnitruncated polyhedron

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truncated quasiregular polyhedron. When they are alternated, they produce the snub polyhedra. All omnitruncated polyhedra are zonohedra. They have Wythoff symbol...

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List of uniform polyhedra by vertex figure

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quasi-regular (scalene triangular vertex figures), p.q.r Wythoff symbol p q r| Snub quasi-regular (pentagonal, hexagonal, or octagonal vertex figures), Wythoff...

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List of uniform polyhedra by spherical triangle

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compounds (5 regular) Deltahedra (Deltahedra, equilateral triangle faces) Snub polyhedra (12 uniform, not mirror image) Zonohedron (Zonohedra, faces have...

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