Trigonal magnabicupolic ring (EntityTopic, 17)
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==Dichoral angles== | ==Dichoral angles== | ||
| - | * Between hexagonal prism and square pyramid: 65.9051574479° | + | * Between hexagonal prism and square pyramid: atan(√5) ≈ 65.9051574479° |
| - | * Between hexagonal prism and triangular cupola: 52.2387560930° | + | * Between hexagonal prism and triangular cupola: atan(√(5/3)) ≈ 52.2387560930° |
| - | * Between hexagonal prism and triangular prism: 48.1896851042° | + | * Between hexagonal prism and triangular prism: acos(2/3) ≈ 48.1896851042° |
* Between two triangular cupolae: 75.5224878141° | * Between two triangular cupolae: 75.5224878141° | ||
Revision as of 06:21, 27 March 2014
The trigonal magnabicupolic ring is a CRF polychoron among the segmentochora enumerated by Klitzing (K4.7.2). It is a member of the family of bicupolic rings, which contains eight other similar polychora.
Dichoral angles
- Between hexagonal prism and square pyramid: atan(√5) ≈ 65.9051574479°
- Between hexagonal prism and triangular cupola: atan(√(5/3)) ≈ 52.2387560930°
- Between hexagonal prism and triangular prism: acos(2/3) ≈ 48.1896851042°
- Between two triangular cupolae: 75.5224878141°
Coordinates
# Hexagonal prism <±sqrt(3), ±1, ±1, 0> < 0, ±2, ±1, 0> # Triangle <-1/sqrt(3), ±1, 0, sqrt(5/3)> < 2/sqrt(3), 0, 0, sqrt(5/3)>
