Pentagonal prism pyramid (EntityTopic, 14)

From Hi.gher. Space

The pentagonal prism pyramid is a CRF polychoron among Klitzing's list of segmentochora (K4.141).

Dichoral angles

  • Between pentagonal pyramid and pentagonal prism: 18° (exact)
  • Between square pyramid and pentagonal prism: atan(sqrt(5)-2) ≈ 13.28°

Coordinates

# Pentagonal prism
<√((10+2*√5)/5), 0, ±1, 0>
<√((5-√5)/10), ±phi, ±1, 0>
<-√((5+2*√5)/5), ±1, ±1, 0>

# Apex
<0, 0, 0, √((5-2*√5)/5)>
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