Elongated triangular orthobicupola

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Elongated triangular orthobicupola
Rank3
TypeCRF
Notation
Bowers style acronymEtobcu
Coxeter diagramoxxo3xxxx&#xt
Elements
Faces
Edges6+6+6+6+12
Vertices6+12
Vertex figures6 rectangles, edge lengths 1 and 2
 12 trapezoids, edge lengths 1, 2, 2, 2
Measures (edge length 1)
Volume
Dihedral angles3–4 join:
 4–4 join:
 3–4 cupolaic:
 4–4 prismatic: 120°
Central density1
Number of external pieces20
Level of complexity12
Related polytopes
ArmyEtobcu
RegimentEtobcu
DualOrthodeltodeltoidal octadecahedron
ConjugateNone
Abstract & topological properties
Flag count144
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryA2×A1, order 12
Flag orbits12
ConvexYes
NatureTame

The elongated triangular orthobicupola (OBSA: etobcu) is one of the 92 Johnson solids (J35). It consists of 2+6 triangles and 3+3+6 squares. It can be constructed by inserting a hexagonal prism between the two halves of the triangular orthobicupola.

Vertex coordinates[edit | edit source]

An elongated triangular orthobicupola of edge length 1 has the following vertices:

  • ,
  • ,
  • ,
  • .

External links[edit | edit source]