Pentagonal orthocupolarotunda pseudopyramid (EntityTopic, 14)
From Hi.gher. Space
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<[#embed [hash WRMMMEGBK12XABTE03B3GG6TKX]]> | <[#embed [hash WRMMMEGBK12XABTE03B3GG6TKX]]> | ||
+ | |||
+ | ==Coordinates== | ||
+ | |||
+ | <pre> | ||
+ | <-√((10+2*√5)/5), 0, √((20+8*√5)/5), 0> | ||
+ | <-√((5-√5)/10), ±phi, √((20+8*√5)/5), 0> | ||
+ | < √((5+2*√5)/5), ±1, √((20+8*√5)/5), 0> | ||
+ | |||
+ | < √((20+8*√5)/5), 0, √((10+2*√5)/5), 0> | ||
+ | <-√((25+11*√5)/10), ±phi, √((10+2*√5)/5), 0> | ||
+ | < √((5+√5)/10), ±phi^2, √((10+2*√5)/5), 0> | ||
+ | |||
+ | <±√(3+4*phi), ±1, 0, 0> | ||
+ | <±√(2+phi), ±phi^2, 0, 0> | ||
+ | <0, ±2*phi, 0, 0> | ||
+ | |||
+ | <-√((10+2*√5)/5), 0, -2*√((3-phi)/5), 0> | ||
+ | <-√((5-√5)/10), ±phi, -2*√((3-phi)/5), 0> | ||
+ | < √((5+2*√5)/5), ±1, -2*√((3-phi)/5), 0> | ||
+ | |||
+ | <-√((10+2*√5)/5), 0, √((2+phi)/5), 1/phi> | ||
+ | <-√((5-√5)/10), ±phi, √((2+phi)/5), 1/phi> | ||
+ | <√((5+2*√5)/5), ±1, √((2+phi)/5), 1/phi> | ||
+ | </pre> |
Revision as of 04:28, 1 April 2014
The pentagonal orthocupolarotunda pseudopyramid, or J32 pseudopyramid, is a 4D CRF polytope that has a pentagonal orthocupolarotunda base and a pentagonal apex, laced by 5 pentagonal pyramids, 10 square pyramids, 5 triangular prisms, 5 tetrahedra, and 2 pentagonal prisms.
Projections
Centered on pentagonal apex:
Coordinates
<-√((10+2*√5)/5), 0, √((20+8*√5)/5), 0> <-√((5-√5)/10), ±phi, √((20+8*√5)/5), 0> < √((5+2*√5)/5), ±1, √((20+8*√5)/5), 0> < √((20+8*√5)/5), 0, √((10+2*√5)/5), 0> <-√((25+11*√5)/10), ±phi, √((10+2*√5)/5), 0> < √((5+√5)/10), ±phi^2, √((10+2*√5)/5), 0> <±√(3+4*phi), ±1, 0, 0> <±√(2+phi), ±phi^2, 0, 0> <0, ±2*phi, 0, 0> <-√((10+2*√5)/5), 0, -2*√((3-phi)/5), 0> <-√((5-√5)/10), ±phi, -2*√((3-phi)/5), 0> < √((5+2*√5)/5), ±1, -2*√((3-phi)/5), 0> <-√((10+2*√5)/5), 0, √((2+phi)/5), 1/phi> <-√((5-√5)/10), ±phi, √((2+phi)/5), 1/phi> <√((5+2*√5)/5), ±1, √((2+phi)/5), 1/phi>