Octahemioctacron

Octahemioctacron
Type	Star polyhedron
Elements	F = 12, E = 24 V = 12 (χ = 0)
Symmetry group	Oh, [4,3], *432 Td, [3,3], *332
Index references	DU03
Octahemioctahedron (dual polyhedron)

In geometry, the octahemioctacron is the dual of the octahemioctahedron, and is one of nine dual hemipolyhedra. It appears visually indistinct from the hexahemioctacron.

Since the octahemioctahedron has four hexagonal faces passing through the model center, The octahemioctacron has four vertices at infinity. In Magnus Wenninger's Dual Models, they are represented with intersecting infinite prisms passing through the model center, cut off at a certain point that is convenient for the maker.

See also

• Hemi-cube - The four vertices at infinity correspond directionally to the four vertices of this abstract polyhedron.

References

• Wenninger, Magnus (1983), Dual Models, Cambridge University Press, ISBN 978-0-521-54325-5, MR730208  (Page 101, Duals of the (nine) hemipolyhedra)

External links

• Weisstein, Eric W., "Octahemioctacron" from MathWorld.

This geometry-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Polyhedra Geometry stubs Wikimedia Foundation. 2010. Игры ⚽ Поможем решить контрольную работу Octahedron (album) Octahydroxyanthraquinone Look at other dictionaries: Octahemioctahedron — Type Uniform star polyhedron Elements F = 12, E = 24 V = 12 (χ = 0) Faces by sides 8{3}+4{6} Wythoff symbol …   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 Truncated great dodecahedron — Type Uniform star polyhedron Elements F = 24, E = 90 V = 60 (χ = −6) Faces by sides 12{5/2}+12{10} Wythof …   Wikipedia Truncated great icosahedron — Type Uniform star polyhedron Elements F = 32, E = 90 V = 60 (χ = 2) Faces by sides 12{5/2}+20{6} Wythoff symb …   Wikipedia 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} Wythoff symbol …   Wikipedia Octahemioctaedre — Octahémioctaèdre Octahémioctaèdre Type Polyèdre uniforme Éléments F=12, A=24, S=12 (χ=0) Faces par cotés 8{3}+4{6} Configuration de sommet …   Wikipédia en Français Octahémioctaèdre — Type Polyèdre uniforme Éléments F=12, A=24, S=12 (χ=0) Faces par côtés 8{3}+4{6} Configuration de sommet 3.6.3/2 …   Wikipédia en Français Hexahemioctacron — Type Star polyhedron Elements F = 12, E = 24 V = 10 (χ = −2) Symmetry group Oh, [4,3], *432 Index references …   Wikipedia 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 Medial deltoidal hexecontahedron — Type Star polyhedron Elements F = 60, E = 120 V = 54 (χ = −6) Symmetry group Ih, [5,3], *532 …   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”