Triangular duotruncatoprism

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Triangular duotruncatoprism
Rank4
TypeIsogonal
Notation
Bowers style acronymTridtep
Elements
Cells9 tetragonal disphenoids, 18 wedges, 9 rectangular trapezoprisms, 6 ditrigonal prisms
Faces36 isosceles triangles, 36 isosceles trapezoids, 18+18 rectangles, 6 ditrigons
Edges18+18+36+36
Vertices36
Vertex figureMirror-symmetric bi-apiculated tetrahedron
Measures (based on hexagons of edge length 1, triangle radius 2)
Edge lengthsEdges of hexagons (18+18): 1
 Lacing edges (36):
 Edges of pseudo-triangles (36):
Circumradius
Central density1
Related polytopes
ArmyTridtep
RegimentTridtep
DualTriangular duotruncatotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA2≀S2, order 72
ConvexYes
NatureTame

The triangular duotruncatoprism or tridtep is a convex isogonal polychoron and the second member of the duotruncatoprism family. It consists of 6 ditrigonal prisms, 9 rectangular trapezoprisms, 18 wedges, and 9 tetragonal disphenoids. 2 ditrigonal prisms, 2 rectangular trapezoprisms, 3 wedges, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal semi-uniform triangular-ditrigonal duoprisms whose ditrigonal prism cells have a smaller circumradius than their triangular prisms. However, it cannot be made uniform.