Pentagonal tetraswirlprism

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Pentagonal tetraswirlprism
Rank4
TypeIsogonal
Elements
Cells200 phyllic disphenoids, 100 rhombic disphenoids, 40 pentagonal gyroprisms
Faces400+400 scalene triangles, 40 pentagons
Edges100+100+200+200
Vertices100
Vertex figure12-vertex polyhedron with 4 tetragons and 12 triangles
Measures (based on pentagonal duoprisms of edge length 1)
Edge lengthsShort side edges (100):
 Medium side edges (100):
 Long side edges (200):
 Edges of pentagons (200): 1
Circumradius
Central density1
Related polytopes
DualPentagonal tetraswirltegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry(I2(20)≀S2)+/4, order 400
ConvexYes
NatureTame

The pentagonal tetraswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 40 pentagonal gyroprisms, 100 rhombic disphenoids, and 200 phyllic disphenoids. 4 pentagonal gyroprisms, 4 rhombic disphenoids, and 8 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the icosagonal duoprism. It is the fourth in an infinite family of isogonal pentagonal dihedral swirlchora.

The ratio between the longest and shortest edges is 1: ≈ 1:2.65688.