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]
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