Cubohemioctahedron

Cubohemioctahedron
Type	Uniform star polyhedron
Elements	F = 10, E = 24 V = 12 (χ = −2)
Faces by sides	6{4}+4{6}
Wythoff symbol	4/3 4 | 3
Symmetry group	Oh, [4,3], *432
Index references	U15, C51, W78
4.6.4/3.6 (Vertex figure)	Hexahemioctacron (dual polyhedron)

In geometry, the cubohemioctahedron is a nonconvex uniform polyhedron, indexed as U₁₅. Its vertex figure is a crossed quadrilateral.

A nonconvex polyhedron has intersecting faces which do not represent new edges or faces. In the picture vertices are marked by golden spheres, and edges by silver cylinders.

It is a hemipolyhedron with 4 hexagonal faces passing through the model center. The hexagons intersect each other and so only triangle portions of each are visible.

Related polyhedra

It shares the vertex arrangement and edge arrangement with the cuboctahedron (having the square faces in common), and with the octahemioctahedron (having the hexagonal faces in common).

Cuboctahedron

Cubohemioctahedron

Octahemioctahedron

External links

• Eric W. Weisstein, Cubohemioctahedron (Uniform polyhedron) at MathWorld.
• Uniform polyhedra and duals

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Uniform polyhedra Polyhedron stubs Wikimedia Foundation. 2010. Игры ⚽ Нужно решить контрольную? This Week in Science Bertha von Putelendorf Look at other dictionaries: Hexahemioctacron — Type Star polyhedron Elements F = 12, E = 24 V = 10 (χ = −2) Symmetry group Oh, [4,3], *432 Index references …   Wikipedia Cuboctahedron — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 14, E = 24, V = 12 (χ = 2) Faces by sides 8{3}+6{4} …   Wikipedia Octahemioctahedron — Type Uniform star polyhedron Elements F = 12, E = 24 V = 12 (χ = 0) Faces by sides 8{3}+4{6} Wythoff symbol …   Wikipedia Liste Des Polyèdres Uniformes — Les polyèdres uniformes et les pavages forment un groupe bien étudié. Ils sont listés ici pour une comparaison rapide de leurs propriétés et de leurs noms de schéma variés ainsi que de leurs symboles. Cette liste inclut : tous les 75… …   Wikipédia en Français Liste des polyedres uniformes — Liste des polyèdres uniformes Les polyèdres uniformes et les pavages forment un groupe bien étudié. Ils sont listés ici pour une comparaison rapide de leurs propriétés et de leurs noms de schéma variés ainsi que de leurs symboles. Cette liste… …   Wikipédia en Français Liste des polyèdres uniformes — Cette liste recense les polyèdres uniformes, ainsi que certaines de leurs propriétés. Sommaire 1 Méthodologie 2 Table des polyèdres 2.1 Formes convexes (3 faces/sommet) …   Wikipédia en Français Hemipolyhedron — In geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its center. These hemi faces lie parallel to the faces of some other symmetrical polyhedron, and their count is half the number of faces of that other… …   Wikipedia Cho — or CHO can refer to several things: Cho can refer to the following people, real or fictional: Contents 1 Name 2 People 3 Acronyms 4 Other Name …   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 Dodecadodecahedron — Type Uniform star polyhedron Elements F = 24, E = 60 V = 30 (χ = −6) Faces by sides 12{5}+12{5/2} Wythoff symbol …   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”