|
|
(15 intermediate revisions not shown) |
Line 1: |
Line 1: |
- | This is a '''list of [[toratope]]s''' in dimensions from two to four. | + | <[#ontology [kind meta] [cats Toratope]]> |
| + | 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%"
| + | <table class='shapelist' style='width: 100%;'><tr> |
- | |valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''Name'''
| + | <th class='key' style='width: 4%;' rowspan='2'>#</th> |
- | |valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[[Tapertopic index]]'''
| + | <th class='key' style='width: 48%;' colspan='3'>[[Open toratope]] (a)</th> |
- | |valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[[Toratopic index]]'''
| + | <th class='key' style='width: 48%;' colspan='3'>[[Closed toratope]] (b)</th> |
- | |valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[[Toratopic notation]]'''
| + | </tr><tr> |
- | |valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[[Hole-sequence]]'''
| + | <th class='key' style='width: 16%;'>Name</th> |
- | |-
| + | <th class='key' style='width: 16%;'>[[Toratopic notation]]</th> |
- | |valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''2D toratopes (total 2)'''
| + | <th class='key' style='width: 16%;'>[[Expanded rotatope]]</th> |
- | |-
| + | <th class='key' style='width: 16%;'>Name</th> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Square]]'''
| + | <th class='key' style='width: 16%;'>[[Toratopic notation]]</th> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''3''' | + | <th class='key' style='width: 16%;'>[[Expanded rotatope]]</th> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''1a''' | + | </tr><tr> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''II'''
| + | <td class='cat' colspan='7'>2D toratopes (total 2)</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[]'''
| + | </tr><tr class='row2'> |
- | |- | + | <td class='key'>1</td> |
- | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Circle]]'''
| + | <td class='key'>[[Square]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''2''' | + | <td>II</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''1b'''
| + | <td>[[Square|11]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(II)'''
| + | <td class='key'>[[Circle]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1]''' | + | <td>(II)</td> |
- | |- | + | <td>[[Circle|2]]</td> |
- | |valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''3D toratopes (total 4)'''
| + | </tr><tr> |
- | |-
| + | <td class='cat' colspan='7'>3D toratopes (total 4)</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cube]]'''
| + | </tr><tr class='row2'> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''7''' | + | <td class='key'>2</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''2a''' | + | <td class='key'>[[Cube]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''III'''
| + | <td>III</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[]'''
| + | <td>[[Cube|111]]</td> |
- | |- | + | <td class='key'>[[Sphere]]</td> |
- | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Sphere]]'''
| + | <td>(III)</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''5''' | + | <td>[[Sphere|3]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''2b'''
| + | </tr><tr class='row1'> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(III)'''
| + | <td class='key'>3</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[0, 1]''' | + | <td class='key'>[[Cylinder]]</td> |
- | |-
| + | <td>(II)I</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cylinder]]'''
| + | <td>[[Cylinder|21]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''6'''
| + | <td class='key'>[[Torus]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''3a'''
| + | <td>((II)I)</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)I'''
| + | <td>[[Duocylinder|22]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[1]''' | + | </tr><tr> |
- | |-
| + | <td class='cat' colspan='7'>4D toratopes (total 10)</td> |
- | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Torus]]'''
| + | </tr><tr class='row2'> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
| + | <td class='key'>4</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''3b'''
| + | <td class='key'>[[Tesseract]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)I)'''
| + | <td>IIII</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[2]''' | + | <td>[[Tesseract|1111]]</td> |
- | |- | + | <td class='key'>[[Glome]]</td> |
- | |valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''4D toratopes (total 10)'''
| + | <td>(IIII)</td> |
- | |-
| + | <td>[[Glome|4]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Tesseract]]'''
| + | </tr><tr class='row1'> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''16''' | + | <td class='key'>5</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''4a''' | + | <td class='key'>[[Cubinder]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''IIII'''
| + | <td>(II)II</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[]'''
| + | <td>[[Cubinder|211]]</td> |
- | |- | + | <td class='key'>[[Spheritorus]]</td> |
- | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Glome]]'''
| + | <td>((II)II)</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''12''' | + | <td>[[Cylspherinder|32]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''4b'''
| + | </tr><tr class='row2'> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(IIII)'''
| + | <td class='key'>6</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[0, 1]''' | + | <td class='key'>[[Duocylinder]]</td> |
- | |-
| + | <td>(II)(II)</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Cubinder]]'''
| + | <td>[[Duocylinder|22]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''15'''
| + | <td class='key'>[[Tiger]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''5a'''
| + | <td>((II)(II))</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)II'''
| + | <td>[[Triocylinder|222]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[1]''' | + | </tr><tr class='row1'> |
- | |-
| + | <td class='key'>7</td> |
- | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toracubinder]]'''
| + | <td class='key'>[[Spherinder]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
| + | <td>(III)I</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''5b'''
| + | <td>[[Spherinder|31]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)II)'''
| + | <td class='key'>[[Torisphere]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 1]''' | + | <td>((III)I)</td> |
- | |-
| + | <td>[[Cylspherinder|32]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Duocylinder]]'''
| + | </tr><tr class='row2'> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''14'''
| + | <td class='key'>8</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''6a'''
| + | <td class='key'>[[Torinder]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(II)(II)'''
| + | <td>((II)I)I</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2]''' | + | <td>[[Duocyldyinder|221]]</td> |
- | |-
| + | <td class='key'>[[Ditorus]]</td> |
- | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Tiger]]'''
| + | <td>(((II)I)I)</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
| + | <td>[[Triocylinder|222]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''6b'''
| + | </tr><tr> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((II)(II))''' | + | <td class='cat' colspan='7'>5D toratopes (total 24)</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[3]'''
| + | </tr><tr class='row2'> |
- | |- | + | <td class='key'>9</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Spherinder]]'''
| + | <td class='key'>[[Penteract]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''13''' | + | <td>IIIII</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''7a'''
| + | <td>[[Penteract|11111]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''(III)I'''
| + | <td class='key'>[[Pentasphere]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[0, 1]''' | + | <td>(IIIII)</td> |
- | |-
| + | <td>[[Pentasphere|5]]</td> |
- | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Toraspherinder]]'''
| + | </tr><tr class='row1'> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
| + | <td class='key'>10</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''7b'''
| + | <td class='key'>[[Tesserinder]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''((III)I)'''
| + | <td>(II)III</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[1, 1]''' | + | <td>[[Tesserinder|2111]]</td> |
- | |-
| + | <td class='key'>[[Toratesserinder]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[[Torinder]]'''
| + | <td>((II)III)</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
| + | <td>[[Cylglominder|42]]</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''8a'''
| + | </tr><tr class='row2'> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''((II)I)I'''
| + | <td class='key'>11</td> |
- | |valign="top" style="background-color:#eeeeff; text-align:center;"|'''[2]''' | + | <td class='key'>[[Duocyldyinder]]</td> |
- | |-
| + | <td>(II)(II)I</td> |
- | |valign="top" style="background-color:#ccccff; text-align:center;"|'''[[Ditorus]]'''
| + | <td>[[Duocyldyinder|221]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''N/A'''
| + | <td class='key'>[[Toraduocyldyinder]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''8b'''
| + | <td>((II)(II)I)</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''(((II)I)I)'''
| + | <td>[[Duocylspherinder|322]]</td> |
- | |valign="top" style="background-color:#ddddff; text-align:center;"|'''[3]''' | + | </tr><tr class='row1'> |
- | |}
| + | <td class='key'>12</td> |
- | | + | <td class='key'>[[Cubspherinder]]</td> |
- | [[Category:Toratopes|$]] | + | <td>(III)II</td> |
| + | <td>[[Cubspherinder|311]]</td> |
| + | <td class='key'>[[Toracubspherinder]]</td> |
| + | <td>((III)II)</td> |
| + | <td>[[Duospherinder|33]]</td> |
| + | </tr><tr class='row2'> |
| + | <td class='key'>13</td> |
| + | <td class='key'>[[Cubtorinder]]</td> |
| + | <td>((II)I)II</td> |
| + | <td>[[Duocylindric diprism|2211]]</td> |
| + | <td class='key'>[[Toracubtorinder]]</td> |
| + | <td>(((II)I)II)</td> |
| + | <td>[[Duocylspherinder|322]]</td> |
| + | </tr><tr class='row1'> |
| + | <td class='key'>14</td> |
| + | <td class='key'>[[Cylspherinder]]</td> |
| + | <td>(III)(II)</td> |
| + | <td>[[Cylspherinder|32]]</td> |
| + | <td class='key'>[[Cylspherintigroid]]</td> |
| + | <td>((III)(II))</td> |
| + | <td>[[Duocylspherinder|322]]</td> |
| + | </tr><tr class='row2'> |
| + | <td class='key'>15</td> |
| + | <td class='key'>[[Cyltorinder]]</td> |
| + | <td>((II)I)(II)</td> |
| + | <td>[[Triocylinder|222]]</td> |
| + | <td class='key'>[[Cyltorintigroid]]</td> |
| + | <td>(((II)I)(II))</td> |
| + | <td>[[Quadrocylinder|2222]]</td> |
| + | </tr><tr class='row1'> |
| + | <td class='key'>16</td> |
| + | <td class='key'>[[Glominder]]</td> |
| + | <td>(IIII)I</td> |
| + | <td>[[Glominder|41]]</td> |
| + | <td class='key'>[[Toraglominder]]</td> |
| + | <td>((IIII)I)</td> |
| + | <td>[[Cylglominder|42]]</td> |
| + | </tr><tr class='row2'> |
| + | <td class='key'>17</td> |
| + | <td class='key'>[[Toracubdyinder]]</td> |
| + | <td>((II)II)I</td> |
| + | <td>[[Cylspheridyinder|321]]</td> |
| + | <td class='key'>[[Cylindrical ditorus]]</td> |
| + | <td>(((II)II)I)</td> |
| + | <td>[[Duocylspherinder|322]]</td> |
| + | </tr><tr class='row1'> |
| + | <td class='key'>18</td> |
| + | <td class='key'>[[Tigric prism]]</td> |
| + | <td>((II)(II))I</td> |
| + | <td>[[Triocyldyinder|2221]]</td> |
| + | <td class='key'>[[Tigric torus]]</td> |
| + | <td>(((II)(II))I)</td> |
| + | <td>[[Quadrocylinder|2222]]</td> |
| + | </tr><tr class='row2'> |
| + | <td class='key'>19</td> |
| + | <td class='key'>[[Toraspheridyinder]]</td> |
| + | <td>((III)I)I</td> |
| + | <td>[[Cylspheridyinder|321]]</td> |
| + | <td class='key'>[[Spheric ditorus]]</td> |
| + | <td>(((III)I)I)</td> |
| + | <td>[[Duocylspherinder|322]]</td> |
| + | </tr><tr class='row1'> |
| + | <td class='key'>20</td> |
| + | <td class='key'>[[Ditorinder]]</td> |
| + | <td>(((II)I)I)I</td> |
| + | <td>[[Triocyldyinder|2221]]</td> |
| + | <td class='key'>[[Tritorus]]</td> |
| + | <td>((((II)I)I)I)</td> |
| + | <td>[[Quadrocylinder|2222]]</td> |
| + | </tr></table> |