Gyroelongated bicupola
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In geometry, the gyroelongated bicupolae are an infinite sets of polyhedra, constructed by adjoining two n-gonal cupolas to an n-gonal Antiprism. The triangular, square, and pentagonal gyroelongated bicupola are three of five Johnson solids which are chiral, meaning that they have a "left-handed" and a "right-handed" form.
Quick Facts Faces, Edges ...
Faces | 6n triangles 2n squares 2 n-gon |
---|---|
Edges | 16n |
Vertices | 6n |
Symmetry group | Dn, [n,2]+, (n22) |
Rotation group | Dn, [n,2]+, (n22) |
Properties | convex, chiral |
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Adjoining two triangular prisms to a square antiprism also generates a polyhedron, but not a Johnson solid, as it is not convex. The hexagonal form is also a polygon, but has coplanar faces. Higher forms can be constructed without regular faces.
More information Image cw, Image ccw ...
Image cw | Image ccw | Name | Faces |
---|---|---|---|
Gyroelongated digonal bicupola | 4 triangles, 4 squares | ||
Gyroelongated triangular bicupola (J44) | 6+2 triangles, 6 squares | ||
Gyroelongated square bicupola (J45) | 8 triangles, 8+2 squares | ||
Gyroelongated pentagonal bicupola (J46) | 30 triangles, 10 squares, 2 pentagon | ||
Gyroelongated hexagonal bicupola | 12 triangles, 24 squares, 2 hexagon |
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