Gyroelongated pentagonal bicupola
- Gyroelongated pentagonal bicupola
Infobox_Polyhedron
Polyhedron_Type=Johnson
J45 - J46 - J47
Face_List=3.10 triangles
10 squares
2 pentagons
Edge_Count=70
Vertex_Count=30
Symmetry_Group="D"5
Vertex_List=10(3.4.5.4)
2.10(34.4)
Dual=-
Property_List=convex, chiralIn geometry, the gyroelongated pentagonal bicupola is one of the Johnson solids ("J"46). As the name suggests, it can be constructed by gyroelongating a pentagonal bicupola ("J"30 or "J"31) by inserting a decagonal antiprism between its congruent halves.
The gyroelongated pentagonal bicupola is one of five Johnson solids which are chiral, meaning that they have a "left-handed" and a "right-handed" form. In the illustration to the right, each square face on the bottom half of the figure is connected by a path of two triangular faces to a square face above it and to the right. In the figure of opposite chirality (the mirror image of the illustrated figure), each bottom square would be connected to a square face above it and to the left. The two chiral forms of "J"46 are not considered different Johnson solids.
The 92 Johnson solids were named and described by Norman Johnson in 1966.
External links
* [http://mathworld.wolfram.com/JohnsonSolid.html Johnson Solid -- from MathWorld]
Wikimedia Foundation.
2010.
Look at other dictionaries:
Gyroelongated pentagonal cupola — Infobox Polyhedron Polyhedron Type=Johnson J 23 J24 J25 Face List=3.5+10 triangles 5 squares 1 pentagon 1 decagon Edge Count=55 Vertex Count=25 Symmetry Group= C 5v| Vertex List=5(3.4.5.4) 2.5(33.10) 10(34.4) Dual= Property List=convexIn geometry … Wikipedia
Bicupola (geometry) — Set of bicupolae Faces 2n triangles, 2n squares 2 n agon Edges 8n Vertices 4n Symmetry group Ortho … Wikipedia
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
