Triangular hebesphenorotunda pseudopyramid (EntityTopic, 14)

From Hi.gher. Space

The triangular hebesphenorotunda pseudopyramid or J92 || triangle is a non-trivial, non-orbiform monostratic CRF polychoron similar to the bilunabirotunda pseudopyramid. Its cells are one triangular hebesphenorotunda, one octahedron, three pentagonal pyramids, three square pyramids, three triangular prisms, 6+3=9 tetrahedra and one triangular cupola. Its faces are one hexagon, three pentagons, 3+3+3=9 squares and 1+3+6+3+3+6+6+6+6+3+1+3=47 triangles. It has 3+6+3+6+6+6+3+3+6+6+3+6+3=60 edges and 3+6+3+6+3=21 vertices.

Top view:

Side view:

Coordinates

J92:
→ x3o:
<0, ²∕_√3, ^2φ2∕_√3, 0>
<±1, -¹∕_√3, ^2φ2∕_√3, 0>

→ f3x:
<±1, φ³/√3, ^2φ∕_√3, 0>
<±φ², -¹∕_φ√3, ^2φ∕_√3, 0>
<±φ, -^φ+2∕_√3, ^2φ∕_√3, 0>

→ o3F:
<±φ², ^φ2∕_√3, ²∕_√3, 0>
<0, -^2φ2∕_√3, ²∕_√3, 0>

→ hexagonal base:
<±1, ±√3, 0, 0>
<±2, 0, 0, 0>

triangle:
→ o3x:
<0, -²∕_√3, ^φ2∕_√3, 1/φ>
<±1, ¹∕_√3, ^φ2∕_√3, 1/φ>

Incidence matrix

Software models

• Stella4D .off file
• Polyview .def file