Pentagonal triswirltegum

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Pentagonal triswirltegum
Rank4
TypeIsotopic
Elements
Cells75 12-vertex decahedra
Faces150 isosceles triangles, 150 rhombi, 75 rectangular-symmetric hexagons
Edges30+150+300
Vertices30+150
Vertex figure150 phyllic disphenoids, 30 pentagonal gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualPentagonal triswirlprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry(I2(15)≀S2)+/3, order 300
ConvexYes
NatureTame

The pentagonal triswirltegum is a convex isochoric polychoron and member of the duoprismatic swirltegum family with 75 identical cells. It is the third in an infinite family of isochoric pentagonal hosohedral swirlchora.

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