# 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.

The 30 possibilities are:

Family | Tetrahedral | Staurohedral | Rhodohedral | ||
---|---|---|---|---|---|

Cubic | Octahedral | Dodecahedral | Icosahedral | ||

(special) | -- | snubdis antiprism, K4.21 | |||

quasicupolaxoo‖xxo | K4.56 | -- | -- | -- | -- |

semicupolaxoo‖oxo | -- | K4.35 | K4.29 | K4.77 | K4.137 |

(peri)cupolaxoo‖xox | K4.23 | K4.71 | K4.107 | K4.152 | -- |

semimesocupolaoxo‖xxo | K4.52 | K4.129 | K4.95 | -- | K4.158 |

mesocupolaoxo‖xox | -- | K4.61 | K4.131 | ||

semipericupolaxxo‖xox | K4.48 | K4.100 | K4.75 | K4.159 | K4.126 |

canticupolaxxo‖xxx | K4.76 | K4.128 | K4.149 | K4.173 | -- |

semiantiprismxxo‖oxx | K4.55 | K4.98 | K4.151 | ||

antiprismxoo‖oox | -- | K4.15 | K4.78 |