Gyroelongated square bicupola

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Gyroelongated square bicupola
Rank3
TypeCRF
Notation
Bowers style acronymGyesquibcu
Coxeter diagramsoxo8oxos&#xt
Elements
Faces8+8+8 triangles, 2+8 squares
Edges8+8+8+8+8+8+8
Vertices8+8+8
Vertex figures8 isosceles trapezoids, edge lengths 1, 2, 2, 2
 16 irregular pentagons, edge lengths 1, 1, 1, 1, 2
Measures (edge length 1)
Volume
Dihedral angles3–3 antiprismatic:
 3–3 join:
 3–4 cupolaic:
 3–4 join:
 4–4: 135°
Central density1
Number of external pieces34
Level of complexity28
Related polytopes
ArmyGyesquibcu
RegimentGyesquibcu
DualTetradeltoctapentagonal icositetrahedron
ConjugateGyroelongated retrograde square bicupola
Abstract & topological properties
Flag count224
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry(B2×A1)+, order 8
ConvexYes
NatureTame

The gyroelongated square bicupola is one of the 92 Johnson solids (J45). It consists of 8+8+8 triangles and 2+8 squares. It can be constructed by attaching square cupolas to the bases of the octagonal antiprism.

It is one of the five Johnson solids to be chiral.

Vertex coordinates[edit | edit source]

A gyroelongated square bicupola of edge length 1 has the following vertices:

where is the distance between the octagonal antiprism's center and the center of one of its bases.

External links[edit | edit source]

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