Compound of ten truncated tetrahedra

Compound of ten truncated tetrahedra
Type	Uniform compound
Index	UC56
Polyhedra	10 truncated tetrahedra
Faces	40 triangles, 40 hexagons
Edges	180
Vertices	120
Symmetry group	icosahedral (Ih)
Subgroup restricting to one constituent	chiral tetrahedral (T)

This uniform polyhedron compound is a composition of 10 truncated tetrahedra, formed by truncating each of the tetrahedra in the compound of 10 tetrahedra. It also results from composing the two enantiomers of the compound of 5 truncated tetrahedra.

References

• Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society 79 (03): 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 ⚽ Нужен реферат? RWGŁ-3 1100s in England 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 Tetrahedron — For the academic journal, see Tetrahedron (journal). Regular Tetrahedron (Click here for rotating model) Type Platonic solid Elements F = 4, E = 6 V = 4 (χ = 2) Faces by s …   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 Final stellation of the icosahedron — Two symmetric orthographic projections Symmetry group icosahedra …   Wikipedia Icosahedral symmetry — A Soccer ball, a common example of a spherical truncated icosahedron, has full icosahedral symmetry. A regular icosahedron has 60 rotational (or orientation preserving) symmetries, and a symmetry order of 120 including transformations that… …   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”