Pentagonal orthocupolarotunda (EntityTopic, 10)
From Hi.gher. Space
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{{STS Shape | {{STS Shape | ||
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+ | | elements=27, 50, 25 | ||
+ | | sym=[[Rhodoaxial symmetry|C<sub>5v</sub>]] | ||
| image=<[#embed [hash HE9ERBGEWQTHJTCJP92G8BAN39] [width 160]]> | | image=<[#embed [hash HE9ERBGEWQTHJTCJP92G8BAN39] [width 160]]> | ||
| extra={{STS Polytope | | extra={{STS Polytope |
Latest revision as of 22:19, 4 September 2014
The pentagonal orthocupolarotunda is the 32nd Johnson solid. It can be constructed by gluing a pentagonal rotunda and a pentagonal cupola at their decagonal faces.
Coordinates
These coordinates give a pentagonal orthocupolarotunda having edge length 2, with its 5-fold axis of symmetry aligned to the Z-axis:
# x5o: <-√((10+2*√5)/5), 0, √((20+8*√5)/5)> <-√((5-√5)/10), ±φ, √((20+8*√5)/5)> < √((5+2*√5)/5), ±1, √((20+8*√5)/5)> # o5f: < √((20+8*√5)/5), 0, √((10+2*√5)/5)> <-√((25+11*√5)/10), ±φ, √((10+2*√5)/5)> < √((5+√5)/10), ±φ^2, √((10+2*√5)/5)> # x5x: <±√(3+4*φ), ±1, 0> <±√(2+φ), ±φ^2, 0> <0, ±2*φ, 0> # x5o: <-√((10+2*√5)/5), 0, -2*√((3-φ)/5)> <-√((5-√5)/10), ±φ, -2*√((3-φ)/5)> <√((5+2*√5)/5), ±1, -2*√((3-φ)/5)>