Pentagonal prism pyramid (EntityTopic, 14)
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The '''pentagonal prism pyramid''' is a [[CRF polychoron]] among Klitzing's list of [[segmentochora]] (K4.141). | 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== | ||
| + | |||
| + | <pre> | ||
| + | # 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)> | ||
| + | </pre> | ||
Latest revision as of 20:29, 27 March 2014
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)>
