Trigonal magnabicupolic ring (EntityTopic, 17)

From Hi.gher. Space

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(Dichoral angles: algebraic derivation)
(software models)
 
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< 2/sqrt(3),  0, 0, sqrt(5/3)>
< 2/sqrt(3),  0, 0, sqrt(5/3)>
</pre>
</pre>
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==Software models==
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*[[Polyview]] [http://hddb.teamikaria.com/dl/9YZZMPPF0CPZY1PKPFQAMNN889.def .def file]
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*[[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)>

Software models