List of bracketopes (Meta, 4)

From Hi.gher. Space

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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[(xyz)w]'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''[(xyz)w]'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELLE'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELLE'''
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<[xyz]w> bicubone?
 
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<[<xy>z]w> narrow bicubone*
 
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<[(xy)z]w> bicylone
 
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<[xy]zw> wide hexadecachoron*
 
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<xyzw> hexadecachoron
 
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<(xy)zw> dibicone
 
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<([xy]z)w> bicrone
 
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<(<xy>z)w> narrow bicrone*
 
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<(xyz)w> bisphone
 
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|-
|-
|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Cubic bipyramid]]?'''
|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Cubic bipyramid]]?'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''<(xyz)w>'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''<(xyz)w>'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELLD'''
|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''ELLD'''
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|-
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([xyz]w) cubic crind
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([<xy>z]w) narrow cubic crind*
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([(xy)z]w) cylindrical crind
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(<[xy]z>w) wide octrahedral crind*
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(<xyz>w) octahedral crind
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(<(xy)z>w) biconic crind
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([xy]zw) dicrind
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(<xy>zw) narrow dicrind*
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(xyzw) glome
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Cubic crind]]'''
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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;"|'''32'''
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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;"|'''''Unknown'''''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow cubic crind]]*'''
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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;"|'''33'''
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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;"|'''[[Cylindrical crind]]'''
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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;"|'''34'''
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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;"|'''[[Wide octahedral crind]]*'''
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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;"|'''35'''
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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;"|'''[[Octahedral crind]]'''
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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;"|'''36'''
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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;"|'''''Unknown'''''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Biconic crind]]'''
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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;"|'''37'''
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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;"|'''[[Dicrind]]'''
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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;"|'''38'''
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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;"|'''''Unknown'''''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Narrow dicrind]]*'''
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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;"|'''39'''
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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;"|'''''Unknown'''''
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|-
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|valign="top" width="20%" style="background-color:#ddddff; text-align:center;"|'''[[Glome]]'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''47'''
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|valign="top" width="20%" style="background-color:#eeeeff; text-align:center;"|'''40'''
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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;"|'''''Unknown'''''
|-
|-
|}
|}

Revision as of 13:25, 18 June 2007

This is a list of bracketopes in dimensions from one to three.

([xyz]w) cubic crind ([<xy>z]w) narrow cubic crind* ([(xy)z]w) cylindrical crind (<[xy]z>w) wide octrahedral crind* (<xyz>w) octahedral crind (<(xy)z>w) biconic crind ([xy]zw) dicrind (<xy>zw) narrow dicrind* (xyzw) glome
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] (ELE&EEL)Rx[45°]Syz[2-1√2]E
Spherinder 20 22 [(xyz)w] ELLE
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)Rx[45°]Syz[2-1√2]D
Bisphone N/A 31 <(xyz)w> ELLD
Cubic crind N/A 32 ([xyz]w) Unknown
Narrow cubic crind* N/A 33 ([<xy>z]w) Unknown
Cylindrical crind N/A 34 ([(xy)z]w) Unknown
Wide octahedral crind* N/A 35 (<[xy]z>w) Unknown
Octahedral crind N/A 36 (<xyz>w) Unknown
Biconic crind N/A 37 (<(xy)z>w) Unknown
Dicrind N/A 38 ([xy]zw) Unknown
Narrow dicrind* N/A 39 (<xy>zw) Unknown
Glome 47 40 (xyzw) Unknown
Retrieved from "http://hi.gher.space/wiki/List_of_bracketopes"