CRFP4DP/Monostratic cupolic forms (Meta, 14)
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There are 30 CRF '''monostratic cupolic forms''' (or just ''cupolae'') in four dimensions. These are constructed by placing [[uniform polyhedra]] from the same [[symmetry group]] (except in one special case, the [[snubdis antiprism]]) in each plane, in such a way as not to form a [[prism]]. These are analogous to J3, J4 and J5 in 3D. | There are 30 CRF '''monostratic cupolic forms''' (or just ''cupolae'') in four dimensions. These are constructed by placing [[uniform polyhedra]] from the same [[symmetry group]] (except in one special case, the [[snubdis antiprism]]) in each plane, in such a way as not to form a [[prism]]. These are analogous to J3, J4 and J5 in 3D. | ||
Latest revision as of 16:38, 1 March 2014
There are 30 CRF monostratic cupolic forms (or just cupolae) in four dimensions. These are constructed by placing uniform polyhedra from the same symmetry group (except in one special case, the snubdis antiprism) in each plane, in such a way as not to form a prism. These are analogous to J3, J4 and J5 in 3D.
The 30 possibilities are:
| Family | Tetrahedral | Staurohedral | Rhodohedral | ||
|---|---|---|---|---|---|
| Cubic | Octahedral | Dodecahedral | Icosahedral | ||
| (special) | -- | snubdis antiprism, K4.21 | |||
| quasicupola xoo‖xxo | K4.56 | -- | -- | -- | -- |
| semicupola xoo‖oxo | -- | K4.35 | K4.29 | K4.77 | K4.137 |
| (peri)cupola xoo‖xox | K4.23 | K4.71 | K4.107 | K4.152 | -- |
| semimesocupola oxo‖xxo | K4.52 | K4.129 | K4.95 | -- | K4.158 |
| mesocupola oxo‖xox | -- | K4.61 | K4.131 | ||
| semipericupola xxo‖xox | K4.48 | K4.100 | K4.75 | K4.159 | K4.126 |
| canticupola xxo‖xxx | K4.76 | K4.128 | K4.149 | K4.173 | -- |
| semiantiprism xxo‖oxx | K4.55 | K4.98 | K4.151 | ||
| antiprism xoo‖oox | -- | K4.15 | K4.78 | ||
