Tetrahedral duoprism

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Tetrahedral duoprism
Rank6
TypeUniform
Notation
Bowers style acronymTetdip
Coxeter diagramx3o3o x3o3o ()
Tapertopic notation1212
Elements
Peta8 triangular-tetrahedral duoprisms
Tera12 tetrahedral prisms, 16 triangular duoprisms
Cells8 tetrahedra, 48 triangular prisms
Faces32 triangles, 36 squares
Edges48
Vertices16
Vertex figureTriangular disphenoid, edge lengths 1 (base) and 2 (sides)
Measures (edge length 1)
Circumradius
Inradius
Hypervolume
Dipetal anglesTratet–triddip–tratet: 90°
 Tratet–tepe–tratet:
HeightsTet atop tratet:
 Tepe atop ortho tepe:
Central density1
Number of external pieces8
Level of complexity10
Related polytopes
ArmyTetdip
RegimentTetdip
DualTetrahedral duotegum
ConjugateNone
Abstract & topological properties
Flag count11520
Euler characteristic0
OrientableYes
Properties
SymmetryA3≀S2, order 1152
ConvexYes
NatureTame

The tetrahedral duoprism or tetdip is a convex uniform duoprism that consists of 8 triangular-tetrahedral duoprisms as facets. 6 facets join at each vertex. It is the prism product of two tetrahedra. It is also the 8-2-3 gyropeton.

The tetrahedral duoprism can be vertex-inscribed into a demihexeract.

Vertex coordinates[edit | edit source]

The vertices of a tetrahedral duoprism of edge length 1 are given by all even sign changes in the first and the last three coordinates of:

External links[edit | edit source]