Omniaugmented dodecahedral prism (EntityTopic, 13)
From Hi.gher. Space
(Difference between revisions)
(add coordinates, lace tower and an extra image) |
m (coordinates go after projections) |
||
| Line 5: | Line 5: | ||
}}}} | }}}} | ||
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}}. | 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}}. | ||
| - | |||
| - | |||
| - | |||
| - | |||
| - | |||
| - | |||
| - | |||
| - | |||
== Projections == | == Projections == | ||
| Line 26: | Line 18: | ||
<[#embed [hash SSVRT128EHDQPTMSWWEFM0RBMN]]> | <[#embed [hash SSVRT128EHDQPTMSWWEFM0RBMN]]> | ||
| + | |||
| + | == Coordinates == | ||
| + | # x5o3o: | ||
| + | apacs<phi, phi, phi> ~ <±1> | ||
| + | epacs<0, 1, phi^2> ~ <±1> | ||
| + | |||
| + | # o5o3A: | ||
| + | (3/√5)*epacs<1, 0, phi> ~ <0> | ||
== Software models == | == Software models == | ||
*[[Polyview]] [http://hddb.teamikaria.com/dl/F51AGPM53JSBWD1823ZCJM0VJJ.def .def file] | *[[Polyview]] [http://hddb.teamikaria.com/dl/F51AGPM53JSBWD1823ZCJM0VJJ.def .def file] | ||
*[[Stella4D]] [http://hddb.teamikaria.com/dl/QMEP2BPC5H95TJHQW4RH2S7V04.off .off file] | *[[Stella4D]] [http://hddb.teamikaria.com/dl/QMEP2BPC5H95TJHQW4RH2S7V04.off .off file] | ||
Revision as of 11:23, 14 April 2014
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>
