List of toratopes (Meta, 5)

From Hi.gher. Space

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This is a '''list of [[toratope]]s''' in dimensions from two to four.
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This is a '''list of [[toratope]]s''' in dimensions from two to five.
{|style="border: 1px solid; border-color:#808080; border-collapse: collapse;" cellpadding="2" width="100%"
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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)'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[0, 1]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[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:#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;"|'''[3]'''
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|-
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|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''5D toratopes (total 24)'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Penteract]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''36'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''9a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''IIIII'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Pentasphere]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''30'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''9b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''(IIIII)'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[0, 0, 0, 1]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Tesserinder]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''35'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''10a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)III'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[1]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toratesserinder]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''10b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)III)'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 0, 1]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Duocyldyinder]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''34'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''11a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)(II)I'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toraduocyldyinder]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''11b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)(II)I)'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[2, 1]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cubspherinder]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''33'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''12a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(III)II'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[0, 1]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toracubspherinder]]'''
 +
|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''12b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''((III)II)'''
 +
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[0, 2]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cubtorinder]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''13a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)I)II'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toracubtorinder]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''13b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)I)II)'''
 +
|valign="top" style="background-color:#ddddff; text-align:center;"|'''[2, 1]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cylspherinder]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''32'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''14a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(III)(II)'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[1, 1]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Cylspherintigroid]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''14b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''((III)(II))'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[2, 1]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cyltorinder]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''15a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)I)(II)'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[3]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Cyltorintigroid]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''15b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)I)(II))'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[4]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Glominder]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''31'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''16a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(IIII)I'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[0, 0, 1]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toraglominder]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''16b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''((IIII)I)'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 0, 1]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Toracubdyinder]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''17a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)II)I'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[1, 1]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Cylindrical ditorus]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''17b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)II)I)'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[2, 1]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Toraspheridyinder]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''18a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''((III)I)I'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[1, 1]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Square tritorus]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''18b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((III)I)I)'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[2, 1]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Tigric prism]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''19a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)(II))I'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[3]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Tigric torus]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''19b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)(II))I)'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[4]'''
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|-
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Ditorinder]]'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''20a'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''(((II)I)I)I'''
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|valign="top" style="background-color:#eeeeff; text-align:center;"|'''[3]'''
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|-
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|valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Tritorus]]'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''20b'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''((((II)I)I)I)'''
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|valign="top" style="background-color:#ddddff; text-align:center;"|'''[4]'''
|}
|}
[[Category:Toratopes|$]]
[[Category:Toratopes|$]]

Revision as of 14:36, 24 November 2009

This is a list of toratopes in dimensions from two to five.

Name Tapertopic index Toratopic index Toratopic notation Hole-sequence
2D toratopes (total 2)
Square 3 1a II []
Circle 2 1b (II) [1]
3D toratopes (total 4)
Cube 7 2a III []
Sphere 5 2b (III) [0, 1]
Cylinder 6 3a (II)I [1]
Torus N/A 3b ((II)I) [2]
4D toratopes (total 10)
Tesseract 16 4a IIII []
Glome 12 4b (IIII) [0, 0, 1]
Cubinder 15 5a (II)II [1]
Toracubinder N/A 5b ((II)II) [1, 1]
Duocylinder 14 6a (II)(II) [2]
Tiger N/A 6b ((II)(II)) [3]
Spherinder 13 7a (III)I [0, 1]
Toraspherinder N/A 7b ((III)I) [1, 1]
Torinder N/A 8a ((II)I)I [2]
Ditorus N/A 8b (((II)I)I) [3]
5D toratopes (total 24)
Penteract 36 9a IIIII []
Pentasphere 30 9b (IIIII) [0, 0, 0, 1]
Tesserinder 35 10a (II)III [1]
Toratesserinder N/A 10b ((II)III) [1, 0, 1]
Duocyldyinder 34 11a (II)(II)I [2]
Toraduocyldyinder N/A 11b ((II)(II)I) [2, 1]
Cubspherinder 33 12a (III)II [0, 1]
Toracubspherinder N/A 12b ((III)II) [0, 2]
Cubtorinder N/A 13a ((II)I)II [2]
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]
Square tritorus 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]