List of toratopes (Meta, 5)

From Hi.gher. Space

(Difference between revisions)
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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;"|'''[1]'''
+
|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;"|'''[1]'''
+
|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, 1]'''
+
|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;"|'''[1]'''
+
|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, 1]'''
+
|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;"|'''[2]'''
+
|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]