Trigonal magnabicupolic ring (EntityTopic, 17)
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| - | The '''trigonal magnabicupolic ring''' is a [[CRF polychoron]] | + | 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 ring]]s, 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== | ||
| + | |||
| + | <pre> | ||
| + | # 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)> | ||
| + | </pre> | ||
| + | |||
| + | ==Software models== | ||
| + | |||
| + | *[[Polyview]] [http://hddb.teamikaria.com/dl/9YZZMPPF0CPZY1PKPFQAMNN889.def .def file] | ||
| + | *[[Stella4D]] [http://hddb.teamikaria.com/dl/Q29SYCNGE78QJ5M0HHDF2G8RNZ.off .off file] | ||
Latest revision as of 23:03, 23 May 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)>
