Transitional triangular double tetraswirltegum

From Polytope Wiki
Jump to navigation Jump to search
Transitional triangular double tetraswirltegum
File:Transitional triangular double tetraswirltegum.png
Rank4
TypeIsotopic
Elements
Cells72 8-vertex enneahedra
Faces72+72+72 isosceles triangles, 72 kites, 36 rhombi
Edges24+36+144+144
Vertices24+36+36
Vertex figure36 rhombic disphenoids, 24 triangular gyrotegums, 36 rhombic gyrotegums
Measures (edge length 1)
Central density1
Related polytopes
DualTransitional triangular double tetraswirlprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry(I2(12)≀S2)+/4, order 144
ConvexYes
NatureTame

The transitional triangular double tetraswirltegum is a convex isochoric polychoron with 72 identical cells. It is the fourth in an infinite family of isochoric triangular tegmatic swirlchora, the others being the small triangular double tetraswirltegum and great triangular double tetraswirltegum.

Each cell of this polychoron has bilateral symmetry, with 1 rhombus, 2 kites, and 6 isosceles triangles for faces.