Biaugmented triangular prism

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Biaugmented triangular prism
Rank3
TypeCRF
Notation
Bowers style acronymBautip
Elements
Faces2+2+2+4 triangles, 1 square
Edges1+2+2+4+4+4
Vertices2+2+4
Vertex figures2 squares, edge length 1
 4 trapezoids, edge lengths 1, 1, 1, 2
 2 pentagons, edge length 1
Measures (edge length 1)
Volume
Dihedral angles3–3 double join:
 3–3 single join:
 3–4 join:
 3–3 pyramidal:
 3–4 prismatic: 90°
Central density1
Number of external pieces11
Level of complexity17
Related polytopes
ArmyBautip
RegimentBautip
DualLaterobitruncated triangular tegum
ConjugateBiaugmented triangular prism
Abstract & topological properties
Flag count68
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryK2×I, order 4
ConvexYes
NatureTame

The biaugmented triangular prism is one of the 92 Johnson solids (J50). It consists of 2+2+2+4 triangles and 1 square. It can be constructed by attaching square pyramids to two of the square faces of the triangular prism.

Vertex coordinates[edit | edit source]

A biaugmented triangular prism of edge length 1 has the following vertices:

In vertex figures[edit | edit source]

Variants of the biaugmented triangular prism (in its symmetry axis, with non-base connected edge lengths of 2) by changing the edge opposite to the square appear as the vertex figure of the nonuniform antiditetragoltriate, and has no corealmic realization.

External links[edit | edit source]