List of toratopes (Meta, 5)
From Hi.gher. Space
(Difference between revisions)
(I've fixed all the hole sequences up to the ?. I'll do the rest tonight. I've included H_0 for completeness and assumed minimal frames. So all the cubes are just arrays of points.) |
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''11b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''11b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)(II)I)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)(II)I)''' | ||
| - | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 2, | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 2, 3, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cubspherinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cubspherinder]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''13b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''13b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)I)II)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)I)II)''' | ||
| - | |valign="top" style="background-color:#ddddff; text-align:center;"|''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 2, 3, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cylspherinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cylspherinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''14a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''14a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(III)(II)''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(III)(II)''' | ||
| - | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[1, 1]''' | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[1, 1, 1, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Cylspherintigroid]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Cylspherintigroid]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''14b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''14b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''((III)(II))''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((III)(II))''' | ||
| - | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[2, 1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 2, 3, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cyltorinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cyltorinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''15a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''15a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)I)(II)''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)I)(II)''' | ||
| - | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[3]''' | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[1, 3, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Cyltorintigroid]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Cyltorintigroid]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''15b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''15b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)I)(II))''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)I)(II))''' | ||
| - | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[4]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 4, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Glominder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Glominder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''16a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''16a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(IIII)I''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(IIII)I''' | ||
| - | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[0, 0, | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2, 0, 0, 2]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toraglominder]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toraglominder]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''16b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''16b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''((IIII)I)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((IIII)I)''' | ||
| - | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 0, 1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 1, 0, 1, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Toracubdyinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Toracubdyinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''17a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''17a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)II)I''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)II)I''' | ||
| - | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[ | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2, 2, 2, 2]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Cylindrical ditorus]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Cylindrical ditorus]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''17b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''17b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)II)I)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)II)I)''' | ||
| - | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[2, 1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 2, 3, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Toraspheridyinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Toraspheridyinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''18a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''18a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''((III)I)I''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''((III)I)I''' | ||
| - | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[ | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2, 2, 2, 2]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Spheric ditorus]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Spheric ditorus]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''18b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''18b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((III)I)I)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(((III)I)I)''' | ||
| - | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[2, 1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 2, 3, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Tigric prism]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Tigric prism]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''19a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''19a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)(II))I''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)(II))I''' | ||
| - | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[ | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2, 6, 0, 2]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Tigric torus]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Tigric torus]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''19b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''19b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)(II))I)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)(II))I)''' | ||
| - | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[4]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 4, 0, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Ditorinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Ditorinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''20a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''20a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(((II)I)I)I''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(((II)I)I)I''' | ||
| - | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[ | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2, 6, 0, 2]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Tritorus]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Tritorus]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''20b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''20b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''((((II)I)I)I)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((((II)I)I)I)''' | ||
| - | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[4]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 4, 0, 0, 1]''' |
|} | |} | ||
[[Category:Toratopes|$]] | [[Category:Toratopes|$]] | ||
Revision as of 07:11, 30 November 2009
This is a list of toratopes in dimensions from two to five.
| Name | Tapertopic index | Toratopic index | Toratopic notation | Hole-sequence (minimal frame) | |
| 2D toratopes (total 2) | |||||
| Square | 3 | 1a | II | [4] | |
| Circle | 2 | 1b | (II) | [1,1] | |
| 3D toratopes (total 4) | |||||
| Cube | 7 | 2a | III | [8] | |
| Sphere | 5 | 2b | (III) | [1, 0, 1] | |
| Cylinder | 6 | 3a | (II)I | [2,2] | |
| Torus | N/A | 3b | ((II)I) | [1, 2, 1] | |
| 4D toratopes (total 10) | |||||
| Tesseract | 16 | 4a | IIII | [16] | |
| Glome | 12 | 4b | (IIII) | [1, 0, 0, 1] | |
| Cubinder | 15 | 5a | (II)II | [4,4] | |
| Toracubinder | N/A | 5b | ((II)II) | [1, 1, 1, 1] | |
| Duocylinder | 14 | 6a | (II)(II) | [1,2,1] | |
| Tiger | N/A | 6b | ((II)(II)) | [1, 3, 0, 1] | |
| Spherinder | 13 | 7a | (III)I | [2, 0, 2] | |
| Toraspherinder | N/A | 7b | ((III)I) | [1, 1, 1, 1] | |
| Torinder | N/A | 8a | ((II)I)I | [2, 4, 2] | |
| Ditorus | N/A | 8b | (((II)I)I) | [1, 3, 0, 1] | |
| 5D toratopes (total 24) | |||||
| Penteract | 36 | 9a | IIIII | [32] | |
| Pentasphere | 30 | 9b | (IIIII) | [1, 0, 0, 0, 1] | |
| Tesserinder | 35 | 10a | (II)III | [16,16] | |
| Toratesserinder | N/A | 10b | ((II)III) | [1, 1, 0, 1, 1] | |
| Duocyldyinder | 34 | 11a | (II)(II)I | [2, 4, 2] | |
| Toraduocyldyinder | N/A | 11b | ((II)(II)I) | [1, 2, 3, 0, 1] | |
| Cubspherinder | 33 | 12a | (III)II | [4, 0, 4] | |
| Toracubspherinder | N/A | 12b | ((III)II) | [1, 0, 2, 0, 1] | |
| Cubtorinder | N/A | 13a | ((II)I)II | [4, 8, 4] | |
| Toracubtorinder | N/A | 13b | (((II)I)II) | [1, 2, 3, 0, 1] | |
| Cylspherinder | 32 | 14a | (III)(II) | [1, 1, 1, 1] | |
| Cylspherintigroid | N/A | 14b | ((III)(II)) | [1, 2, 3, 0, 1] | |
| Cyltorinder | N/A | 15a | ((II)I)(II) | [1, 3, 0, 1] | |
| Cyltorintigroid | N/A | 15b | (((II)I)(II)) | [1, 4, 0, 1] | |
| Glominder | 31 | 16a | (IIII)I | [2, 0, 0, 2] | |
| Toraglominder | N/A | 16b | ((IIII)I) | [1, 1, 0, 1, 1] | |
| Toracubdyinder | N/A | 17a | ((II)II)I | [2, 2, 2, 2] | |
| Cylindrical ditorus | N/A | 17b | (((II)II)I) | [1, 2, 3, 0, 1] | |
| Toraspheridyinder | N/A | 18a | ((III)I)I | [2, 2, 2, 2] | |
| Spheric ditorus | N/A | 18b | (((III)I)I) | [1, 2, 3, 0, 1] | |
| Tigric prism | N/A | 19a | ((II)(II))I | [2, 6, 0, 2] | |
| Tigric torus | N/A | 19b | (((II)(II))I) | [1, 4, 0, 0, 1] | |
| Ditorinder | N/A | 20a | (((II)I)I)I | [2, 6, 0, 2] | |
| Tritorus | N/A | 20b | ((((II)I)I)I) | [1, 4, 0, 0, 1] | |
