Triangular prismic pyramid (EntityTopic, 14)
From Hi.gher. Space
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==Dichoral angles== | ==Dichoral angles== | ||
- | * Between triangular prism and square pyramid: 65.9051574479° | + | * Between triangular prism and square pyramid: atan(√5) ≈ 65.9051574479° |
- | * Between triangular prism and tetrahedron: 52.2387560930° | + | * Between triangular prism and tetrahedron: atan(√(5/3)) ≈ 52.2387560930° |
* Between square pyramid and tetrahedron: 103.6330222254° | * Between square pyramid and tetrahedron: 103.6330222254° | ||
Latest revision as of 18:58, 27 March 2014
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: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
Torii: | tiger • torisphere • spheritorus • torinder • ditorus |
26. 112 Tetrahedral prism | 27. [111]1 Triangular prismic pyramid | 28. 13 Pentachoron |
List of tapertopes |