List of bracketopes (Meta, 4)
From Hi.gher. Space
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|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A''' | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A''' | ||
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''23''' | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''23''' | ||
| - | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[xyz]w>''' | + | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<nowiki><[xyz]w></nowiki>''' |
|- | |- | ||
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow cubic bipyramid]]*''' | |valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow cubic bipyramid]]*''' | ||
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A''' | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A''' | ||
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''24''' | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''24''' | ||
| - | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[<xy>z]w>''' | + | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<nowiki><[<xy>z]w></nowiki>''' |
|- | |- | ||
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cylindrical bipyramid]]''' | |valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Cylindrical bipyramid]]''' | ||
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A''' | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A''' | ||
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''25''' | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''25''' | ||
| - | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[(xy)z]w>''' | + | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<nowiki><[(xy)z]w></nowiki>''' |
|- | |- | ||
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Wide hexadecachoron]]*''' | |valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Wide hexadecachoron]]*''' | ||
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A''' | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''N/A''' | ||
|valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''26''' | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''26''' | ||
| - | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<[xy]zw>''' | + | |valign="top" width="25%" style="background-color:#eeeeff; text-align:center;"|'''<nowiki><[xy]zw></nowiki>''' |
|- | |- | ||
|valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Hexadecachoron]]''' | |valign="top" width="25%" style="background-color:#ddddff; text-align:center;"|'''[[Hexadecachoron]]''' | ||
Revision as of 11:37, 7 March 2011
This is a list of bracketopes in dimensions from zero to four.
| Name | Rotopic index | Bracketopic index | Bracket notation | ||
| 0D bracketopes | |||||
| Point | 0 | 0 | Empty string | ||
| 1D bracketopes | |||||
| Line | 1 | 1 | x | ||
| 2D bracketopes | |||||
| Square | 2 | 2 | [xy] | ||
| Diamond& | N/A | 3 | <xy> | ||
| Circle | 4 | 4 | (xy) | ||
| 3D bracketopes | |||||
| Cube | 5 | 5 | [xyz] | ||
| Cuboid* | N/A | 6 | [<xy>z] | ||
| Cylinder | 11 | 7 | [(xy)z] | ||
| Wide octahedron* | N/A | 8 | <[xy]z> | ||
| Octahedron | N/A | 9 | <xyz> | ||
| Bicone | N/A | 10 | <(xy)z> | ||
| Crind | N/A | 11 | ([xy]z) | ||
| Narrow crind* | N/A | 12 | (<xy>z) | ||
| Sphere | 7 | 13 | (xyz) | ||
| 4D bracketopes | |||||
| Tesseract | 14 | 14 | [xyzw] | ||
| Narrow tesseract* | N/A | 15 | [<xy>zw] | ||
| Cubinder | 34 | 16 | [(xy)zw] | ||
| Wide octahedral prism* | N/A | 17 | [<[xy]z>w] | ||
| Octahedral prism | N/A | 18 | [<xyz>w] | ||
| Biconic prism | N/A | 19 | [<(xy)z>w] | ||
| Crindal prism | N/A | 20 | [([xy]z)w] | ||
| Narrow crindal prism* | N/A | 21 | [(<xy>z)w] | ||
| Spherinder | 20 | 22 | [(xyz)w] | ||
| Cubic bipyramid? | N/A | 23 | <[xyz]w> | ||
| Narrow cubic bipyramid* | N/A | 24 | <[<xy>z]w> | ||
| Cylindrical bipyramid | N/A | 25 | <[(xy)z]w> | ||
| Wide hexadecachoron* | N/A | 26 | <[xy]zw> | ||
| Hexadecachoron | N/A | 27 | <xyzw> | ||
| Dibicone | N/A | 28 | <(xy)zw> | ||
| Crindal bipyramid | N/A | 29 | <([xy]z)w> | ||
| Narrow crindal bipyramid* | N/A | 30 | <(<xy>z)w> | ||
| Bisphone | N/A | 31 | <(xyz)w> | ||
| Cubic crind | N/A | 32 | ([xyz]w) | ||
| Narrow cubic crind* | N/A | 33 | ([<xy>z]w) | ||
| Cylindrical crind | N/A | 34 | ([(xy)z]w) | ||
| Wide octahedral crind* | N/A | 35 | (ExPar: unexpected closing bracket | ||
| Unknown shape | Unknown | 45 | <[xy](zw)> | ||
| Duocircular tegum | N/A | 46 | <(xy)(zw)> | ||
| Duocrind | N/A | 47 | ([xy][zw]) | ||
| Narrow duocrind* | N/A | 48 | ([xy]<zw>) | ||
| Doubly-narrow duocrind* | N/A | 49 | (<xy><zw>) | ||
