Dodecagonal duotruncatoprism

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Dodecagonal duotruncatoprism
Rank4
TypeIsogonal
SpaceSpherical
Notation
Bowers style acronymTwadtep
Elements
Cells144 tetragonal disphenoids, 288 wedges, 144 rectangular trapezoprisms, 24 didodecagonal prisms
Faces576 isosceles triangles, 576 isosceles trapezoids, 288+288 rectangles, 24 didodecagons
Edges288+288+576+576
Vertices576
Vertex figureMirror-symmetric bi-apiculated tetrahedron
Measures (based on icositetragon edge length 1 and same radius ratio as uniform-derived dodecagonal duoexpandoprism)
Edge lengthsEdges of icositetragons (288+288): 1
 Edges of pseudo-dodecagons (576):
 Lacing edges (576):
Circumradius
Central density1
Related polytopes
ArmyTwadtep
RegimentTwadtep
DualDodecagonal duotruncatotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(12)≀S2, order 1152
ConvexYes
NatureTame

The dodecagonal duotruncatoprism is a convex isogonal polychoron and the eleventh member of the duotruncatoprism family. It consists of 24 didodecagonal prisms, 144 rectangular trapezoprisms, 288 wedges, and 144 tetragonal disphenoids. 2 didodecagonal duoprisms, 2 rectangular trapezoprisms, 3 wedges, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal dodecagonal-didodecagonal duoprisms whose didodecagonal prisms have a smaller circumradius than their dodecagonal prisms. However, it cannot be made uniform.