Table of uniform polychora by Bowers acronym (Meta, 12)

From Hi.gher. Space

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(New page: {| |width="122"| ||width="60"|{3,3,3}||width="60"|{3,3,4}||width="60"|{4,3,3}||width="60"|{3,4,3}||width="60"|{3,3,5}||width="60"|{5,3,3}||width="60"|Dx |- | ||Pen||Hex||...)
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<[#ontology [kind meta] [cats 4D Uniform Polytope Bowers_acronym]]>
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The 64 uniform polychora are divided here into 33 binary asymmetric, 12 binary symmetric, 2 non-Wythoffian and 17 prismatic forms.
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Source: http://os2fan2.com/jbowers.html
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=== Binary asymmetric ===
{|
{|
-
|width="122"|&nbsp;||width="60"|{3,3,3}||width="60"|{3,3,4}||width="60"|{4,3,3}||width="60"|{3,4,3}||width="60"|{3,3,5}||width="60"|{5,3,3}||width="60"|Dx
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|width="120"|&nbsp;||width="60"|{3,3,3}||width="60"|{3,3,4}||width="60"|{4,3,3}||width="60"|{3,4,3}||width="60"|{3,3,5}||width="60"|{5,3,3}||width="60"|Dx
|-
|-
|&nbsp;||[[Pen]]||[[Hex]]||[[Tes]]||[[Ico]]||[[Ex]]||[[Hi]]||1
|&nbsp;||[[Pen]]||[[Hex]]||[[Tes]]||[[Ico]]||[[Ex]]||[[Hi]]||1
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|}
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[[Category:Uniform polychora|$]]
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=== Binary symmetric ===
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{|
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|width="120"|&nbsp;||width="60"|bt{3,3,3}||width="60"|bt{3,3,4}||width="60"|bt{3,4,3}||width="60"|bt{3,3,5}||width="60"|Dx
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|-
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|&nbsp;||[[Deca]]||[[Tah]]||[[Cont]]||[[Xhi]]||6
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|-
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|sm prismato-||[[Spid]]||[[Sidpith]]||[[Spic]]||[[Sidpixhi]]||9
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|-
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|gr prismato-||[[Gippid]]||[[Gidpith]]||[[Gippic]]||[[Gidpixhi]]||15
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|}
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=== Non-Wythoffian ===
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{|
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|width="120"| &nbsp;
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|width="120"| ss{3,4,3} = [[Sadi]]
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|width="120"| ss{3,3,5} = [[Gap]]
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|}
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=== Prismatic ===
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{|
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|width="60"|&nbsp;||width="60"|{3,3}||width="60"|{3,4}||width="60"|{3,5}||width="60"|{4,3}||width="60"|{5,3}||width="60"|&nbsp;||width="60"|CO||width="60"|ID
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|-
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|{}p||[[Tepe]]||[[Ope]]||[[Ipe]]||&nbsp;||[[Dope]]||r{}p||[[Cope]]||[[Iddip]]
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|-
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|t{}p||[[Tuttip]]||[[Tope]]||[[Tipe]]||[[Ticcip]]||[[Tiddip]]||rr{}p||[[Sircope]]||[[Sriddip]]
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|-
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|s{}p||&nbsp;||&nbsp;||&nbsp;||[[Sniccip]]||[[Sniddip]]||ot{}p||[[Gircope]]||[[Griddip]]
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|}
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__NOTOC__

Latest revision as of 22:27, 11 February 2014

The 64 uniform polychora are divided here into 33 binary asymmetric, 12 binary symmetric, 2 non-Wythoffian and 17 prismatic forms.

Source: http://os2fan2.com/jbowers.html

Binary asymmetric

 {3,3,3}{3,3,4}{4,3,3}{3,4,3}{3,3,5}{5,3,3}Dx
 PenHexTesIcoExHi1
rectifiedRap(Ico)RitRicoRoxRahi2
truncatedTipThexTatTicoTexTahi3
sm rhombi-Srip(Rico)SritSricoSrixSrahi5
gr rhombi-Grip(Tico)GritGricoGrixGrahi7
prismatorhPripProhPritPricoPrixPrahi13

Binary symmetric

 bt{3,3,3}bt{3,3,4}bt{3,4,3}bt{3,3,5}Dx
 DecaTahContXhi6
sm prismato-SpidSidpithSpicSidpixhi9
gr prismato-GippidGidpithGippicGidpixhi15

Non-Wythoffian

  ss{3,4,3} = Sadi ss{3,3,5} = Gap

Prismatic

 {3,3}{3,4}{3,5}{4,3}{5,3} COID
{}pTepeOpeIpe Doper{}pCopeIddip
t{}pTuttipTopeTipeTiccipTiddiprr{}pSircopeSriddip
s{}p   SniccipSniddipot{}pGircopeGriddip