Gyroelongated square bicupola
- 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, chiral
In geometry, the gyroelongated square bicupola is one of the Johnson solids ("J"45). As the name suggests, it can be constructed by gyroelongating a square bicupola ("J"28 or "J"29) by inserting an octagonal antiprism between its congruent halves.
The gyroelongated square 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 left half of the figure is connected by a path of two triangular faces to a square face below it and to the right. In the figure of opposite chirality (the mirror image of the illustrated figure), each square on the left would be connected to a square face above it and to the right. The two chiral forms of "J"45 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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