Trigonal magnabicupolic ring (EntityTopic, 17)

From Hi.gher. Space

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