List of bracketopes (Meta, 4)
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Revision as of 13:18, 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)R_{x}[45°]S_{yz}[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] | (ELE&EEL)R_{x}[45°]S_{yz}[2^{-1}√2]E | |
Spherinder | 20 | 22 | [(xyz)w] | ELLE
<[xyz]w> bicubone? <[<xy>z]w> narrow bicubone* <[(xy)z]w> bicylone <[xy]zw> wide hexadecachoron* <xyzw> hexadecachoron <(xy)zw> dibicone <([xy]z)w> bicrone <(<xy>z)w> narrow bicrone* <(xyz)w> bisphone | |
Cubic bipyramid? | N/A | 23 | <[xyz]w> | EEED | |
Narrow cubic bipyramid* | N/A | 24 | <[<xy>z]w> | EDED | |
Cylindrical bipyramid | N/A | 25 | <[(xy)z]w> | ELE | |
Wide hexadecachoron* | N/A | 26 | <[xy]zw> | EEDD | |
Hexadecachoron | N/A | 27 | <xyzw> | EDDD | |
Dibicone | N/A | 28 | <(xy)zw> | ELDD | |
Crindal bipyramid | N/A | 29 | <([xy]z)w> | (ELE&EEL)D | |
Narrow crindal bipyramid* | N/A | 30 | <(<xy>z)w> | (ELE&EEL)R_{x}[45°]S_{yz}[2^{-1}√2]D | |
Bisphone | N/A | 31 | <(xyz)w> | ELLD |