Compound of five great dodecahedra

Compound of five great dodecahedra
Type	Uniform compound
Index	UC49
Polyhedra	5 great dodecahedra
Faces	60 pentagons
Edges	150
Vertices	60
Symmetry group	icosahedral (Ih)
Subgroup restricting to one constituent	pyritohedral (Th)

This uniform polyhedron compound is a composition of 5 great dodecahedra, in the same arrangement as in the compound of 5 icosahedra.

References

• Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79: 447–457, doi:10.1017/S0305004100052440, MR0397554 .

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Polyhedral compounds Polyhedron stubs Wikimedia Foundation. 2010. Игры ⚽ Нужно решить контрольную? The Wondergirls Compound of five small stellated dodecahedra Look at other dictionaries: Polyhedral compound — A polyhedral compound is a polyhedron that is itself composed of several other polyhedra sharing a common centre. They are the three dimensional analogs of polygonal compounds such as the hexagram. Neighbouring vertices of a compound can be… …   Wikipedia List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia Dodecahedron — Regular Dodecahedron (Click here for rotating model) Type Platonic solid Elements F = 12, E = 30 V = 20 (χ = 2) Faces by sides 12{5} …   Wikipedia Composé polyédrique — Un composé polyédrique est un polyèdre qui est lui même composé de plusieurs autres polyèdres partageant un centre commun, l analogue tridimensionnel des composés polygonaux (en) tels que l hexagramme. Les sommets voisins d un composé… …   Wikipédia en Français Compose polyedrique — Composé polyèdrique Un composé polyèdrique est un polyèdre qui est lui même composé de plusieurs autres polyèdres partageant un centre commun, l analogue tridimensionnel des composés polygonaux tel que l hexagramme. Les sommets voisins d un… …   Wikipédia en Français Composé Polyèdrique — Un composé polyèdrique est un polyèdre qui est lui même composé de plusieurs autres polyèdres partageant un centre commun, l analogue tridimensionnel des composés polygonaux tel que l hexagramme. Les sommets voisins d un composé peuvent être… …   Wikipédia en Français Composé polyèdrique — Un composé polyèdrique est un polyèdre qui est lui même composé de plusieurs autres polyèdres partageant un centre commun, l analogue tridimensionnel des composés polygonaux tel que l hexagramme. Les sommets voisins d un composé peuvent être… …   Wikipédia en Français Kepler–Poinsot polyhedron — In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra. They may be obtained by stellating the regular convex dodecahedron and icosahedron, and differ from these in having regular pentagrammic faces or vertex figures.… …   Wikipedia Magnus Wenninger — in 2009 in his office with many of his models and a visiting theology student Father Magnus J. Wenninger OSB (born Park Falls, Wisconsin, October 31, 1919) is a mathematician who works on constructing polyhedron models, and wrote the first book… …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”