Gyroelongated triangular bicupola


Gyroelongated triangular bicupola

Infobox Polyhedron


Polyhedron_Type=Johnson
J43 - J44 - J45
Face_List=2+3.6 triangles
6 squares
Edge_Count=42
Vertex_Count=18
Symmetry_Group=D3
Vertex_List=6(3.4.3.4)
2.6(34.4)
Dual=-
Property_List=convex, chiral

In geometry, the gyroelongated triangular bicupola is one of the Johnson solids ("J"44). As the name suggests, it can be constructed by gyroelongating a triangular bicupola (either "J"27 or the cuboctahedron) by inserting a hexagonal antiprism between its congruent halves.

The gyroelongated triangular 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"44 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 square bicupola — Infobox Polyhedron Polyhedron Type=Johnson J44 J45 J46 Face List=3.8 triangles 2+8 squares Edge Count=56 Vertex Count=24 Symmetry Group= D 4 Vertex List=8(3.43) 2.8(34.4) Dual= Property List=convex, chiralIn geometry, the gyroelongated square… …   Wikipedia

  • 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… …   Wikipedia

  • Gyroelongated triangular cupola — Infobox Polyhedron Polyhedron Type=Johnson J 21 J22 J23 Face List=1+3.3+6 triangles 3 squares 1 hexagon Edge Count=33 Vertex Count=15 Symmetry Group= C 3v| Vertex List=3(3.4.3.4) 2.3(32.6) 6(34.4) Dual= Property List=convexIn geometry, the… …   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

  • 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


Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.