Omniaugmented dodecahedral prism (EntityTopic, 13)
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| - | The '''omniaugmented dodecahedral prism''' is a [[CRF polytope]] with 2 [[dodecahedra]], 24 [[pentagonal pyramid]]s, and 60 [[square pyramid]]s. It is constructed by augmenting the pentagonal prisms of the [[dodecahedral prism]] with [[pentagonal | + | The '''omniaugmented dodecahedral prism''' is a [[CRF polytope]] with 2 [[dodecahedra]], 24 [[pentagonal pyramid]]s, and 60 [[square pyramid]]s. It is constructed by augmenting the pentagonal prisms of the [[dodecahedral prism]] with [[pentagonal prism pyramid]]s. Its lace tower is (x5o3o || o5o3A || x5o3o) or xox5ooo3oAo, where A = {{Over|3|√5}}. |
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| + | == Projections == | ||
Centered on dodecahedron: | Centered on dodecahedron: | ||
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<[#embed [hash B29VGNVB60TK80QCJVRX4ETR1F]]> | <[#embed [hash B29VGNVB60TK80QCJVRX4ETR1F]]> | ||
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| + | Close-up projective view without visibility clipping, showing all 3 layers concentrically: | ||
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| + | <[#embed [hash SSVRT128EHDQPTMSWWEFM0RBMN]]> | ||
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| + | == Coordinates == | ||
| + | # x5o3o: | ||
| + | apacs<phi, phi, phi> ~ <±1> | ||
| + | epacs<0, 1, phi^2> ~ <±1> | ||
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| + | # o5o3A: | ||
| + | (3/√5)*epacs<1, 0, phi> ~ <0> | ||
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| + | == Software models == | ||
| + | *[[Polyview]] [http://hddb.teamikaria.com/dl/F51AGPM53JSBWD1823ZCJM0VJJ.def .def file] | ||
| + | *[[Stella4D]] [http://hddb.teamikaria.com/dl/QMEP2BPC5H95TJHQW4RH2S7V04.off .off file] | ||
Latest revision as of 20:58, 19 September 2018
The omniaugmented dodecahedral prism is a CRF polytope with 2 dodecahedra, 24 pentagonal pyramids, and 60 square pyramids. It is constructed by augmenting the pentagonal prisms of the dodecahedral prism with pentagonal prism pyramids. Its lace tower is (x5o3o || o5o3A || x5o3o) or xox5ooo3oAo, where A = 3∕√5.
Projections
Centered on dodecahedron:
Side view:
Close-up projective view without visibility clipping, showing all 3 layers concentrically:
Coordinates
# x5o3o: apacs<phi, phi, phi> ~ <±1> epacs<0, 1, phi^2> ~ <±1> # o5o3A: (3/√5)*epacs<1, 0, phi> ~ <0>
