Decagonal duotruncatotegum

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Decagonal duotruncatotegum
Rank4
TypeIsotopic
SpaceSpherical
Elements
Cells400 mirror-symmetric edge-truncated tetrahedra
Faces400 scalene triangles, 400 kites, 200+200 mirror-symmetric pentagons
Edges20+200+200+400+400
Vertices20+100+100+200
Vertex figure100 tetragonal disphenoids, 200 notches, 100 digonal scalenohedra, 20 decambic tegums
Measures (edge length 1)
Central density1
Related polytopes
DualDecagonal duotruncatoprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(10)≀S2, order 800
ConvexYes
NatureTame

The decagonal duotruncatotegum is a convex isochoric polychoron and mmember of the duotruncatotegum family with 400 mirror-symmetric edge-truncated tetrahedra as cells.

Each cell of this polychoron has mirror symmetry, with 2 mirror-symmetric pentagons, 2 kites, and 2 scalene triangles for faces.