Triangular prismic pyramid (EntityTopic, 14)

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The triangular prismic pyramid is a CRF polychoron among Klitzing's segmentochora (K4.7).

It can be Stott-expanded into the triangular magnabicupolic ring.

Dichoral angles

  • Between triangular prism and square pyramid: atan(√5) ≈ 65.9051574479°
  • Between triangular prism and tetrahedron: atan(√(5/3)) ≈ 52.2387560930°
  • Between square pyramid and tetrahedron: 103.6330222254°

Coordinates

# Triangular prism
<±1, -1/√3, ±1, 0>
<0, 2/√3, ±1, 0>

# Apex
<0, 0, 0, sqrt(5/3)>


Notable Tetrashapes
Regular: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonecylindronediconeconinder
Torii: tigertorispherespheritorustorinderditorus


26. 112
Tetrahedral prism
27. [111]1
Triangular prismic pyramid
28. 13
Pentachoron
List of tapertopes