Gyroelongated pentagonal pyramid

Gyroelongated pentagonal pyramid
Type	Johnson J10 - J11 - J12
Faces	3x5 triangles 1 pentagon
Edges	25
Vertices	11
Vertex configuration	5(33.5) 1+5(35)
Symmetry group	C5v
Dual polyhedron	-
Properties	convex
Net

In geometry, the gyroelongated pentagonal pyramid is one of the Johnson solids (J₁₁). As its name suggests, it is formed by taking a pentagonal pyramid and "gyroelongating" it, which in this case involves joining a pentagonal antiprism to its base.

It can also be seen as a diminished icosahedron, an icosahedron with the top (a pentagonal pyramid, J₂) chopped off by a plane. Other Johnson solids can be formed by cutting off multiple pentagonal pyramids from an icosahedron: the pentagonal antiprism and metabidiminished icosahedron (two pyramids removed), and the tridiminished icosahedron (three pyramids removed).

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

Dual polyhedron

The dual of the gyroelongated pentagonal pyramid has 11 faces: 5 kites, 1 regular pentagonal and 5 irregular pentagons.

Dual gyroelongated pentagonal pyramid	Net of dual

External links

• Weisstein, Eric W., "Gyroelongated pentagonal pyramid" from MathWorld.

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Johnson solids Pyramids and bipyramids Polyhedron stubs Wikimedia Foundation. 2010. Игры ⚽ Поможем написать реферат USS Becuna (SS-319) AN-52 bomb Look at other dictionaries: Pentagonal pyramid — Infobox Polyhedron with net Polyhedron Type=Johnson J1 J2 J3 Face List=5 triangles 1 pentagon Edge Count=10 Vertex Count=6 Symmetry Group= C 5v Vertex List=5(32.5) (35) Dual=self Property List= In geometry, a pentagonal pyramid is a pyramid with… …   Wikipedia Pirámide pentagonal giroelongada — Saltar a navegación, búsqueda Pirámide pentagonal giroelongada Tipo Johnson J10 J11 J12 Caras …   Wikipedia Español Johnson solid — The elongated square gyrobicupola (J37), a Johnson solid …   Wikipedia Sólido de Johnson — La girobicúpula cuadrada elongada (J37), un sólido de Johnson …   Wikipedia Español 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 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 List of mathematics articles (G) — NOTOC G G₂ G delta space G networks Gδ set G structure G test G127 G2 manifold G2 structure Gabor atom Gabor filter Gabor transform Gabor Wigner transform Gabow s algorithm Gabriel graph Gabriel s Horn Gain graph Gain group Galerkin method… …   Wikipedia 18+ © Academic, 2000-2025 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”