Table of kanihedra (Meta, 11)
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This table shows the three-dimensional [[kanitope]]s arranged by their [[polytope family|family]] and [[Dx number]]. | This table shows the three-dimensional [[kanitope]]s arranged by their [[polytope family|family]] and [[Dx number]]. | ||
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|width="80"|1||xoo||Parent||[[Tetrahedron|x3o3o]]||[[Cube|x4o3o]]||[[Dodecahedron|x5o3o]] | |width="80"|1||xoo||Parent||[[Tetrahedron|x3o3o]]||[[Cube|x4o3o]]||[[Dodecahedron|x5o3o]] | ||
|- | |- | ||
| - | |width="80"|2||oxo||Mesotope||[[Octahedron|''(x3o4o)'']]||[[Stauromesohedron|o4x3o]]||[[Rhodomesohedron|o5x3o]] | + | |width="80"|2||oxo||[[Mesotope]]||[[Octahedron|''(x3o4o)'']]||[[Stauromesohedron|o4x3o]]||[[Rhodomesohedron|o5x3o]] |
|- | |- | ||
| - | |width="80"|3||xxo||Truncate||[[Tetrahedral truncate|x3x3o]]||[[Cubic truncate|x4x3o]]||[[Dodecahedral truncate|x5x3o]] | + | |width="80"|3||xxo||[[Truncate]]||[[Tetrahedral truncate|x3x3o]]||[[Cubic truncate|x4x3o]]||[[Dodecahedral truncate|x5x3o]] |
|- | |- | ||
| - | |width="80"|4||oox||Dual||[[Tetrahedron|(x3o3o)]]||[[Octahedron|x3o4o]]||[[Icosahedron|x3o5o]] | + | |width="80"|4||oox||[[Dual]]||[[Tetrahedron|(x3o3o)]]||[[Octahedron|x3o4o]]||[[Icosahedron|x3o5o]] |
|- | |- | ||
| - | |width="80"|5||xox|| | + | |width="80"|5||xox||[[Peritope]]||[[Stauromesohedron|''(o4x3o)'']]||[[Stauroperihedron|x4o3x]]||[[Rhodoperihedron|x5o3x]] |
|- | |- | ||
|width="80"|6||oxx||(Truncate)||[[Tetrahedral truncate|(x3x3o)]]||[[Octahedral truncate|x3x4o]]||[[Icosahedral truncate|x3x5o]] | |width="80"|6||oxx||(Truncate)||[[Tetrahedral truncate|(x3x3o)]]||[[Octahedral truncate|x3x4o]]||[[Icosahedral truncate|x3x5o]] | ||
|- | |- | ||
| - | |width="80"|7||xxx||Pantome||[[Octahedral truncate|''(x3x4o)'']]||[[Stauropantohedron|x4x3x]]||[[Rhodopantohedron|x5x3x]] | + | |width="80"|7||xxx||[[Pantome]]||[[Octahedral truncate|''(x3x4o)'']]||[[Stauropantohedron|x4x3x]]||[[Rhodopantohedron|x5x3x]] |
|- | |- | ||
| - | |width="80"|0||ooo||Snub||[[Icosahedron|''(x3o5o)'']]||[[Snub staurohedron|s4s3s]]||[[Snub rhodohedron|s5s3s]] | + | |width="80"|0||ooo||[[Snub]]||[[Icosahedron|''(x3o5o)'']]||[[Snub staurohedron|s4s3s]]||[[Snub rhodohedron|s5s3s]] |
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Latest revision as of 22:44, 11 February 2014
This table shows the three-dimensional kanitopes arranged by their family and Dx number.
Forms enclosed in parentheses are non-canonical forms, which duplicate other cells of the table. In 3D, this only occurs in the tetrahedral family, due both to it being self-dual and to the tetrahedron being equivalent to the demicube.
| Dx | Coxeter- Dynkin | Mirror group | Symmetry family | ||
|---|---|---|---|---|---|
| Pyrohedral | Staurohedral | Rhodohedral | |||
| 1 | xoo | Parent | x3o3o | x4o3o | x5o3o |
| 2 | oxo | Mesotope | (x3o4o) | o4x3o | o5x3o |
| 3 | xxo | Truncate | x3x3o | x4x3o | x5x3o |
| 4 | oox | Dual | (x3o3o) | x3o4o | x3o5o |
| 5 | xox | Peritope | (o4x3o) | x4o3x | x5o3x |
| 6 | oxx | (Truncate) | (x3x3o) | x3x4o | x3x5o |
| 7 | xxx | Pantome | (x3x4o) | x4x3x | x5x3x |
| 0 | ooo | Snub | (x3o5o) | s4s3s | s5s3s |
