Pentagonal orthocupolarotunda pseudopyramid (EntityTopic, 14)
From Hi.gher. Space
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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. It can be denoted as J32||pentagon in Klitzing's notation. | 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. It can be denoted as J32||pentagon in Klitzing's notation. | ||
| - | ==Projections== | + | == Projections == |
| - | + | ||
Centered on pentagonal apex: | Centered on pentagonal apex: | ||
<[#embed [hash WRMMMEGBK12XABTE03B3GG6TKX]]> | <[#embed [hash WRMMMEGBK12XABTE03B3GG6TKX]]> | ||
| - | ==Coordinates== | + | == Coordinates == |
| - | + | ||
<pre> | <pre> | ||
<-√((10+2*√5)/5), 0, √((20+8*√5)/5), 0> | <-√((10+2*√5)/5), 0, √((20+8*√5)/5), 0> | ||
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where phi = (1+√5)/2 is the Golden Ratio. | where phi = (1+√5)/2 is the Golden Ratio. | ||
| - | ==Software models== | + | == Software models == |
| - | + | ||
*[[Polyview]] [http://hddb.teamikaria.com/dl/2HPR2XD266RF89WQEKSPJDW7Z8.def .def file] | *[[Polyview]] [http://hddb.teamikaria.com/dl/2HPR2XD266RF89WQEKSPJDW7Z8.def .def file] | ||
*[[Stella4d]] [http://hddb.teamikaria.com/dl/5C56WKZ1QAGT60TBV4CTAN5N0T.off .off file] | *[[Stella4d]] [http://hddb.teamikaria.com/dl/5C56WKZ1QAGT60TBV4CTAN5N0T.off .off file] | ||
Revision as of 13:02, 14 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. It can be denoted as J32||pentagon in Klitzing's notation.
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>
where phi = (1+√5)/2 is the Golden Ratio.
