Pentagonal tetraswirltegum

From Polytope Wiki
Jump to navigation Jump to search
Pentagonal tetraswirltegum
Rank4
TypeIsotopic
Elements
Cells100 16-vertex dodecahedra
Faces200 isosceles triangles, 100+200 rhombi, 100 rectangular-symmetric octagons
Edges40+400+400
Vertices40+100+200
Vertex figure200 phyllic disphenoids, 100 rhombic disphenoids, 40 pentagonal gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualPentagonal tetraswirlprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry(I2(20)≀S2)+/4, order 400
ConvexYes
NatureTame

The pentagonal tetraswirltegum is a convex isochoric polychoron and member of the duoprismatic swirltegum family with 100 identical cells. It is the fourth in an infinite family of isochoric pentagonal hosohedral swirlchora.

Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric octagons, 6 rhombi, and 4 isosceles triangles for faces.