List of bracketopes (Meta, 4)
From Hi.gher. Space
Revision as of 13:08, 18 June 2007 by 62.171.194.10 (Talk)
This is a list of bracketopes in dimensions from one to three.
Name | Rotopic index | Bracketopic index | Bracket notation | CSG notation | |
1D bracketopes | |||||
Line | 1 | 1 | [x] | E | |
2D bracketopes | |||||
Square | 2 | 2 | [xy] | EE | |
Diamond* | N/A | 3 | <xy> | ED | |
Circle | 4 | 4 | (xy) | EL | |
3D bracketopes | |||||
Cube | 5 | 5 | [xyz] | EEE | |
Cuboid* | N/A | 6 | [<xy>z] | EDE | |
Cylinder | 11 | 7 | [(xy)z] | ELE | |
Wide octahedron* | N/A | 8 | <[xy]z> | EED | |
Octahedron | N/A | 9 | <xyz> | EDD | |
Bicone | N/A | 10 | <(xy)z> | ELD | |
Crind | N/A | 11 | ([xy]z) | ELE&EEL | |
Narrow crind* | N/A | 12 | (<xy>z) | (ELE&EEL)Rx[45°]Syz[2-1√2] | |
Sphere | 7 | 13 | (xyz) | ELL | |
4D bracketopes | |||||
Tesseract | 45 | 14 | [xyzw] | EEEE | |
Narrow tesseract* | N/A | 15 | [<xy>zw] | EDEE | |
Cubinder | 34 | 16 | [(xy)zw] | ELEE | |
Wide octahedral prism* | N/A | 17 | [<[xy]z>w] | EEDE | |
Octahedral prism | N/A | 18 | [<xyz>w] | EDDE | |
Biconic prism | N/A | 19 | [<(xy)z>w] | ELDE | |
Crindal prism | N/A | 20 | [([xy]z)w] | (EL&LE)E | |
Narrow crindal prism* | N/A | 21 | [(<xy>z)w] | Unknown | |
Spherinder | 20 | 22 | [(xyz)w] | ELLE |