List of bracketopes (Meta, 4)

From Hi.gher. Space

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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''6'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''6'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[<xy>z]'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[<xy>z]'''
-
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''EED'''
+
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''EDE'''
|-
|-
|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Cylinder]]'''
|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Cylinder]]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''7'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''7'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)z]'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)z]'''
-
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''EEL'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELE'''
|-
|-
|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Wide octahedron]]*'''
|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Wide octahedron]]*'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''11'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''11'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''([xy]z)'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''([xy]z)'''
-
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''EL&LE'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELE&EEL'''
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|-
|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow crind]]*'''
|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow crind]]*'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''12'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''12'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''(<xy>z)'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''(<xy>z)'''
-
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''''Unknown'''''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''(ELE&EEL)R<sub>x</sub>[45°]S<sub>yz</sub>[2<sup>-1</sup>√2''']
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|-
|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Sphere]]'''
|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Sphere]]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''(xyz)'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''(xyz)'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELL'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELL'''
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|-
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|valign="top" style="background-color:#bbbbff; text-align:center;" colspan="6"|'''4D bracketopes'''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Tesseract]]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''45'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''14'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[xyzw]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''EEEE'''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow tesseract]]*'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''15'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[<xy>zw]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''EDEE'''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Cubinder]]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''34'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''16'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[(xy)zw]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELEE'''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Wide octahedral prism]]*'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''17'''
 +
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[<[xy]z>w]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''EEDE'''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Octahedral prism]]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''18'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[<xyz>w]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''EDDE'''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Biconic prism]]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''19'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[<(xy)z>w]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELDE'''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Crindal prism]]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''20'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[([xy]z)w]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''(EL&LE)E'''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow crindal prism]]*'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''N/A'''
 +
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''21'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[(<xy>z)w]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''''Unknown'''''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Spherinder]]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''20'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''22'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[(xyz)w]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELLE'''
|}
|}

Revision as of 13:08, 18 June 2007

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
Retrieved from "http://hi.gher.space/wiki/List_of_bracketopes"