List of bracketopes (Meta, 4)
From Hi.gher. Space
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 | (<[xy]z>w) | ||
| Octahedral crind | N/A | 36 | (<xyz>w) | ||
| Biconic crind | N/A | 37 | (<(xy)z>w) | ||
| Dicrind | N/A | 38 | ([xy]zw) | ||
| Narrow dicrind* | N/A | 39 | (<xy>zw) | ||
| Glome | 16 | 40 | (xyzw) | ||
| Small tesseract& | N/A | 41 | [<xy><zw>] | ||
| Narrow cubinder* | N/A | 42 | [(xy)<zw>] | ||
| Duocylinder | 43 | 43 | [(xy)(zw)] | ||
| Large hexadecachoron& | N/A | 44 | <[xy][zw]> | ||
| 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>) | ||
