Great cycloantiprism

From Polytope Wiki
Jump to navigation Jump to search
Great cycloantiprism
Rank4
TypeScaliform
Notation
Bowers style acronymGocap
Elements
Cells10 pentagonal prisms
50 tetrahedra
50 square pyramids
Faces100+100 triangles
50 squares
10 pentagons
Edges50+50+100
Vertices50
Measures (edge length 1)
Circumradius1
Hypervolume
Related polytopes
ArmyPedap
RegimentGudap
ConjugateToroidal cycloantiprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(10)×I2(10)/2, order 200
ConvexNo
NatureTame

The great cycloantiprism or gocap is a nonconvex scaliform polychoron that consists of 50 tetrahedra, 10 pentagonal prisms, and 50 square pyramids. 4 tetrahedra, 2 pentagonal prisms, and 5 square pyramids join at each vertex.

Related polychora[edit | edit source]

The great hectosnub pyrihectosnub cycloduoantiprism, a compound of 2 great cycloantiprisms, exists in a subregiment of the pentacubic extended duoantiprism.

The great dishexacosiswirlprismatic hecatonicosachoron, a compound of 12 great cycloantiprisms, exists in the regiment of the small stellated hecatonicosachoron.

External links[edit | edit source]