List of toratopes (Meta, 5)
From Hi.gher. Space
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[[Toratopic index]]''' | |valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[[Toratopic index]]''' | ||
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[[Toratopic notation]]''' | |valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[[Toratopic notation]]''' | ||
- | |valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[[Hole-sequence]]''' | + | |valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[[Hole-sequence]] (minimal frame)''' |
|- | |- | ||
|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''2D toratopes (total 2)''' | |valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''2D toratopes (total 2)''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''1a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''1a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''II''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''II''' | ||
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[]''' | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[4]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Circle]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Circle]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''1b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''1b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''(II)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(II)''' | ||
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1,1]''' |
|- | |- | ||
|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''3D toratopes (total 4)''' | |valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''3D toratopes (total 4)''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''2a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''2a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''III''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''III''' | ||
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[]''' | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[8]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Sphere]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Sphere]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''2b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''2b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''(III)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(III)''' | ||
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[0, 1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cylinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cylinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''3a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''3a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)I''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)I''' | ||
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[ | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2,2]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Torus]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Torus]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''3b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''3b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)I)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)I)''' | ||
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[2]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 2, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''4D toratopes (total 10)''' | |valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''4D toratopes (total 10)''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''4a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''4a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''IIII''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''IIII''' | ||
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[]''' | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[16]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Glome]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Glome]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''4b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''4b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''(IIII)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(IIII)''' | ||
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[0, 0, 1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 0, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cubinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cubinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''5a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''5a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)II''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)II''' | ||
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[ | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[4,4]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toracubinder]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toracubinder]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''5b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''5b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)II)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)II)''' | ||
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 1, 1, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Duocylinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Duocylinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''6a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''6a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)(II)''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)(II)''' | ||
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2]''' | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[1,2,1]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Tiger]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Tiger]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''6b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''6b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)(II))''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)(II))''' | ||
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[3]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 3, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Spherinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Spherinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''7a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''7a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(III)I''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(III)I''' | ||
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[0, | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2, 0, 2]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toraspherinder]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toraspherinder]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''7b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''7b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''((III)I)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((III)I)''' | ||
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 1, 1, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Torinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Torinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''8a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''8a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)I)I''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)I)I''' | ||
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2]''' | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2, 4, 2]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Ditorus]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Ditorus]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''8b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''8b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)I)I)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)I)I)''' | ||
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[3]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 3, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''5D toratopes (total 24)''' | |valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''5D toratopes (total 24)''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''9a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''9a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''IIIII''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''IIIII''' | ||
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[]''' | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[32]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Pentasphere]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Pentasphere]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''9b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''9b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''(IIIII)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(IIIII)''' | ||
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[0, 0, 0, 1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 0, 0, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Tesserinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Tesserinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''10a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''10a''' | ||
|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)III''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)III''' | ||
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[ | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[16,16]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toratesserinder]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toratesserinder]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''10b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''10b''' | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)III)''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)III)''' | ||
- | |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;"|'''[[Duocyldyinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Duocyldyinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''11a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''11a''' | ||
|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;"|'''[2]''' | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2, 4, 2]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toraduocyldyinder]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toraduocyldyinder]]''' | ||
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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;"|'''[2, 1]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 2, 1, 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:#eeeeff; text-align:center;"|'''12a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''12a''' | ||
|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;"|'''[0, | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[4, 0, 4]''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toracubspherinder]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toracubspherinder]]''' | ||
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''12b''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''12b''' | ||
|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;"|'''[0, 2]''' | + | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 0, 2, 0, 1]''' |
|- | |- | ||
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cubtorinder]]''' | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cubtorinder]]''' | ||
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''13a''' | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''13a''' | ||
|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;"|''' | + | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''?''' |
|- | |- | ||
|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toracubtorinder]]''' | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toracubtorinder]]''' |
Revision as of 02:45, 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, 1, 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 | ? | |
Toracubtorinder | N/A | 13b | (((II)I)II) | [2, 1] | |
Cylspherinder | 32 | 14a | (III)(II) | [1, 1] | |
Cylspherintigroid | N/A | 14b | ((III)(II)) | [2, 1] | |
Cyltorinder | N/A | 15a | ((II)I)(II) | [3] | |
Cyltorintigroid | N/A | 15b | (((II)I)(II)) | [4] | |
Glominder | 31 | 16a | (IIII)I | [0, 0, 1] | |
Toraglominder | N/A | 16b | ((IIII)I) | [1, 0, 1] | |
Toracubdyinder | N/A | 17a | ((II)II)I | [1, 1] | |
Cylindrical ditorus | N/A | 17b | (((II)II)I) | [2, 1] | |
Toraspheridyinder | N/A | 18a | ((III)I)I | [1, 1] | |
Spheric ditorus | N/A | 18b | (((III)I)I) | [2, 1] | |
Tigric prism | N/A | 19a | ((II)(II))I | [3] | |
Tigric torus | N/A | 19b | (((II)(II))I) | [4] | |
Ditorinder | N/A | 20a | (((II)I)I)I | [3] | |
Tritorus | N/A | 20b | ((((II)I)I)I) | [4] |