Metabidiminished rhombicosidodecahedron

Metabidiminished rhombicosidodecahedron
Type	Johnson J80 - J81 - J82
Faces	3x2+4 triangles 2+2+4x4 squares 3x2+4 pentagons 2 decagons
Edges	90
Vertices	50
Vertex configuration	5x4(4.5.10) 3x2+6x4(3.4.5.4)
Symmetry group	C2v
Dual polyhedron	-
Properties	convex
Net

In geometry, the metabidiminished rhombicosidodecahedron is one of the Johnson solids (J₈₁). It can be constructed as a rhombicosidodecahedron with two non-opposing pentagonal cupolae removed. Related Johnson solids are the diminished rhombicosidodecahedron (J₇₆) where one cupola is removed, the parabidiminished rhombicosidodecahedron (J₈₀) where two opposing cupolae are removed, the gyrate bidiminished rhombicosidodecahedron (J₈₂) where two non-opposing cupolae are removed and a third is rotated 36 degrees, and the tridiminished rhombicosidodecahedron (J₈₃) where three cupolae are removed.

The 92 Johnson solids were named and described by Norman Johnson in 1966.

External links

• Weisstein, Eric W., "Johnson Solid" from MathWorld.
  • Weisstein, Eric W., "Metabidiminished rhombicosidodecahedron" from MathWorld.

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Polyhedron stubs Johnson solids Wikimedia Foundation. 2010. Игры ⚽ Нужна курсовая? Derek Bell Just Fly Look at other dictionaries: Parabidiminished rhombicosidodecahedron — Infobox Polyhedron with net Polyhedron Type=Johnson J79 J80 J81 Face List=10 triangles 2x10 squares 10 pentagons 2 decagons Edge Count=90 Vertex Count=50 Symmetry Group= D 5d Vertex List=20(4.5.10) 10+20(3.4.5.4) Dual= Property List=convex Net In …   Wikipedia Tridiminished rhombicosidodecahedron — Infobox Polyhedron with net Polyhedron Type=Johnson J82 J83 J84 Face List=2+3 triangles 3x3+6 squares 3x3 pentagons 3 decagons Edge Count=75 Vertex Count=45 Symmetry Group= C 3v Vertex List=5x6(4.5.10) 3x3+6(3.4.5.4) Dual= Property List=convex… …   Wikipedia Johnson solid — The elongated square gyrobicupola (J37), a Johnson solid …   Wikipedia Johnson-Körper — Die Johnson Körper sind eine Klasse geometrischer Körper. Inhaltsverzeichnis 1 Eigenschaften 2 Liste 2.1 Pyramiden, Kuppeln und Rotunden 2.2 modifizierte Pyramiden …   Deutsch Wikipedia Polyèdre de Johnson — Solide de Johnson La gyrobicoupole octogonale allongée (J37), un solide de Johnson …   Wikipédia en Français Polyèdres de Johnson — Solide de Johnson La gyrobicoupole octogonale allongée (J37), un solide de Johnson …   Wikipédia en Français Solide de Johnson — La gyrobicoupole octogonale allongée (J37), un solide de Johnson …   Wikipédia en Français Solide de johnson — La gyrobicoupole octogonale allongée (J37), un solide de Johnson …   Wikipédia en Français Sólido de Johnson — La girobicúpula cuadrada elongada (J37), un sólido de Johnson …   Wikipedia Español List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   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”