Compound of three triangular prisms

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Compound of three triangular prisms
Rank3
TypeUniform
Elements
Components3 triangular prisms
Faces9 squares, 6 triangles as 3 fissal enneagrams
Edges9+18
Vertices18
Vertex figureIsosceles triangle, edge lengths 1, 2, 2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles4–3: 90°
 4–4: 60°
Height1
Central density3
Number of external pieces20
Level of complexity6
Related polytopes
ArmySemi-uniform Ep, edge lengths (base), 1 (sides)
Regiment*
DualCompound of three triangular tegums
ConjugateCompound of three triangular prisms
Abstract & topological properties
Flag count108
OrientableYes
Properties
SymmetryI2(9)×A1, order 36
ConvexNo
NatureTame

The fissal enneagrammic prism or compound of three triangular prisms is a prismatic uniform polyhedron compound. It consists of 2 fissal enneagrams and 9 squares. Each vertex joins one fissal enneagram and two squares. As the name suggests, it is a prism based on a fissal enneagram.

Its quotientprismatic equivalent is the 9-3 step prismatic prism, which is five-dimensional.

Vertex coordinates[edit | edit source]

Coordinates for the vertices of a fissal enneagrammic prism of edge length 1 centered at the origin are given by: