Table of kanichora (Meta, 11)

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This is a '''table of [[uniform polychora]]''' by their [[Kana mnemonic]].
This is a '''table of [[uniform polychora]]''' by their [[Kana mnemonic]].
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{|cellpadding="2" cellspacing="1"
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|[[Dx]]||width="80"|1||width="80"|2||width="80"|3||width="80"|4||width="80"|5||width="80"|6||width="80"|7||width="80"|8||width="80"|9||width="80"|10||width="80"|11||width="80"|12||width="80"|13||width="80"|14||width="80"|15||width="80"|0
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!bgcolor="#E0E0E0" rowspan="2" width="30"|[[Dx]]
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!bgcolor="#E0E0E0" rowspan="2" width="80"|[[Coxeter-Dynkin|Coxeter-<br>Dynkin]]
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!bgcolor="#E0E0E0" colspan="4" width="40%"|[[Variance group]]
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!bgcolor="#E0E0E0" rowspan="2"|Form
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!bgcolor="#E0E0E0" colspan="4" width="40%"|[[Polychoric group]]
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|-
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|Cox-Dyn||xooo||oxoo||xxoo||ooxo||xoxo||oxxo||xxxo||ooox||xoox||oxox||xxox||ooxx||xoxx||oxxx||xxxx||oooo
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!bgcolor="#E0E0E0"|Standard
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!bgcolor="#E0E0E0"|Krieger
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!bgcolor="#E0E0E0"|Conventional
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!bgcolor="#E0E0E0"|Alt. conv.
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!bgcolor="#E0E0E0"|Pentachoric
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!bgcolor="#E0E0E0"|Hexadecachoric
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!bgcolor="#E0E0E0"|Icositetrachoric
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!bgcolor="#E0E0E0"|Hexacosichoric
|-
|-
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|Group (standard)||Parent||Rectate||Truncate||---||Cantellate||Bitruncate||Cantitruncate||---||Runcinate||---||Runcitruncate||---||---||---||Omnitruncate||Snub
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|1||xooo||Parent||Parent||Parent||&nbsp;||-||[[ﾍﾟﾝ]] pen||[[ﾃｽ]] tesu||[[ｺｼ]] koshi||[[ﾍｶ]] heka
|-
|-
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|Group (Krieger)||Parent||Rectate||Truncate||---||sm Rhombi-||---||gr Rhombi-||---||---||---||---||---||Prismatorh||---||---||Snub
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|2||oxoo||Rectate||Rectate||Hemicate||&nbsp;||-ﾐ -mi||[[ﾍﾟﾝﾐ]] penmi||[[ﾃｽﾐ]] tesumi||[[ｺｼﾐ]] koshimi||[[ﾍｶﾐ]] hekami
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|-
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|nowrap|Group (conventional)||Parent||Hemicate||Truncate||Dual,hemic||Omnihemate||Rectate||Canticate||Dual||Cantellate||Dual,omnihem||Runcicate||Dual,trunc||Dual,runcic||Dual,cantic||Omnitruncate||Snub
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|3||xxoo||Truncate||Truncate||Truncate||&nbsp;||-ﾄ -to||[[ﾍﾟﾝﾄ]] pento||[[ﾃｽﾄ]] tesuto||[[ｺｼﾄ]] koshito||[[ﾍｶﾄ]] hekato
|-
|-
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|Alternative conv.||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||Rect,rect||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||Rect,trunc||&nbsp;
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|4||ooxo||---||---||Dual,hemic||&nbsp;||~ﾐ ~mi||([[ﾍﾟﾝﾐ]] penmi)||([[ｺｼ]] koshi)||([[ｺｼﾐ]] koshimi)||[[ｻｺﾐ]] sakomi
|-
|-
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|Form||-||-ﾐ -mi||-ﾄ -to||~ﾐ ~mi||-ﾆﾐ -nimi||-ﾚ/* -re/*||-ｶ -ka||~||-ｼﾞﾚ/*ﾚ -jire/*re||~ﾆﾐ ~nimi||-ﾙ -ru||~ﾄ ~to||~ﾙ ~ru||~ｶ ~ka||*ﾄ *to||-ｽ -su
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|5||xoxo||Cantellate||sm Rhombi-||Omnihemate||&nbsp;||-ﾆﾐ -nimi||[[ﾍﾟﾝﾆﾐ]] pennimi||[[ﾃｽﾆﾐ]] tesunimi||[[ｺｼﾆﾐ]] koshinimi||[[ﾍｶﾆﾐ]] hekanimi
|-
|-
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|Pentachoric||[[ﾍﾟﾝ]] pen||[[ﾍﾟﾝﾐ]] penmi||[[ﾍﾟﾝﾄ]] pento||([[ﾍﾟﾝﾐ]] penmi)||[[ﾍﾟﾝﾆﾐ]] pennimi||[[ﾍﾟﾝﾚ]] penre||[[ﾍﾟﾝｶ]] penka||([[ﾍﾟﾝ]] pen)||[[ﾍﾟﾝｼﾞﾚ]] penjire||([[ﾍﾟﾝﾆﾐ]] pennimi)||[[ﾍﾟﾝﾙ]] penru||([[ﾍﾟﾝﾄ]] pento)||([[ﾍﾟﾝﾙ]] penru)||([[ﾍﾟﾝｶ]] penka)||[[ﾍﾟﾝﾚﾄ]] penreto||---
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|6||oxxo||Bitruncate||---||Rectate||&nbsp;||-ﾚ/* -re/*||[[ﾍﾟﾝﾚ]] penre||[[ｴｽ]] esu||[[ｺｼﾚ]] koshire||[[ｻｶ]] saka
|-
|-
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|Hexadecachoric||[[ﾃｽ]] tesu||[[ﾃｽﾐ]] tesumi||[[ﾃｽﾄ]] tesuto||([[ｺｼ]] koshi)||[[ﾃｽﾆﾐ]] tesunimi||[[ｴｽ]] esu||[[ﾃｽｶ]] tesuka||[[ｴｸ]] eku||[[ｴｽﾚ]] esure||([[ｺｼﾐ]] koshimi)||[[ﾃｽﾙ]] tesuru||[[ｴｸﾄ]] ekuto||[[ｴｸﾙ]] ekuru||([[ｺｼﾄ]] koshito)||[[ｴｽﾄ]] esuto||---
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|7||xxxo||Cantitruncate||gr Rhombi-||Canticate||&nbsp;||-ｶ -ka||[[ﾍﾟﾝｶ]] penka||[[ﾃｽｶ]] tesuka||[[ｺｼｶ]] koshika||[[ﾍｶｶ]] hekaka
|-
|-
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|Icositetrachoric||[[ｺｼ]] koshi||[[ｺｼﾐ]] koshimi||[[ｺｼﾄ]] koshito||([[ｺｼﾐ]] koshimi)||[[ｺｼﾆﾐ]] koshinimi||[[ｺｼﾚ]] koshire||[[ｺｼｶ]] koshika||([[ｺｼ]] koshi)||[[ｺｼｼﾞﾚ]] koshijire||([[ｺｼﾆﾐ]] koshinimi)||[[ｺｼﾙ]] koshiru||([[ｺｼﾄ]] koshito)||([[ｺｼﾙ]] koshiru)||([[ｺｼｶ]] koshika)||[[ｺｼﾚﾄ]] koshireto||[[ｺｼｽ]] koshisu
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|8||ooox||---||---||Dual||&nbsp;||~||([[ﾍﾟﾝ]] pen)||[[ｴｸ]] eku||([[ｺｼ]] koshi)||[[ｻｺ]] sako
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|-
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|Hexacosichoric||[[ﾍｶ]] heka||[[ﾍｶﾐ]] hekami||[[ﾍｶﾄ]] hekato||[[ｻｺﾐ]] sakomi||[[ﾍｶﾆﾐ]] hekanimi||[[ｻｶ]] saka||[[ﾍｶｶ]] hekaka||[[ｻｺ]] sako||[[ｻｶﾚ]] sakare||[[ｻｺﾆﾐ]] sakonimi||[[ﾍｶﾙ]] hekaru||[[ｻｺﾄ]] sakoto||[[ｻｺﾙ]] sakoru||[[ｻｺｶ]] sakoka||[[ｻｶﾄ]] sakato||---
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|9||xoox||Runcinate||---||Cantellate||Rect,rect||-ｼﾞﾚ/*ﾚ -jire/*re||[[ﾍﾟﾝｼﾞﾚ]] penjire||[[ｴｽﾚ]] esure||[[ｺｼｼﾞﾚ]] koshijire||[[ｻｶﾚ]] sakare
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|-
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|10||oxox||---||---||Dual,omnihem||&nbsp;||~ﾆﾐ ~nimi||([[ﾍﾟﾝﾆﾐ]] pennimi)||([[ｺｼﾐ]] koshimi)||([[ｺｼﾆﾐ]] koshinimi)||[[ｻｺﾆﾐ]] sakonimi
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|-
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|11||xxox||Runcitruncate||---||Runcicate||&nbsp;||-ﾙ -ru||[[ﾍﾟﾝﾙ]] penru||[[ﾃｽﾙ]] tesuru||[[ｺｼﾙ]] koshiru||[[ﾍｶﾙ]] hekaru
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|-
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|12||ooxx||---||---||Dual,trunc||&nbsp;||~ﾄ ~to||([[ﾍﾟﾝﾄ]] pento)||[[ｴｸﾄ]] ekuto||([[ｺｼﾄ]] koshito)||[[ｻｺﾄ]] sakoto
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|-
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|13||xoxx||---||Prismatorh||Dual,runcic||&nbsp;||~ﾙ ~ru||([[ﾍﾟﾝﾙ]] penru)||[[ｴｸﾙ]] ekuru||([[ｺｼﾙ]] koshiru)||[[ｻｺﾙ]] sakoru
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|-
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|14||oxxx||---||---||Dual,cantic||&nbsp;||~ｶ ~ka||([[ﾍﾟﾝｶ]] penka)||([[ｺｼﾄ]] koshito)||([[ｺｼｶ]] koshika)||[[ｻｺｶ]] sakoka
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|-
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|15||xxxx||Omnitruncate||---||Omnitruncate||Rect,trunc||*ﾄ *to||[[ﾍﾟﾝﾚﾄ]] penreto||[[ｴｽﾄ]] esuto||[[ｺｼﾚﾄ]] koshireto||[[ｻｶﾄ]] sakato
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|-
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|0||oooo||Snub||Snub||Snub||&nbsp;||-ｽ -su||---||---||[[ｺｼｽ]] koshisu||---
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|}
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Form syntax:
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;Form syntax
* "-" means the parent mneumonic
* "-" means the parent mneumonic
* "*" means the rectate mneumonic
* "*" means the rectate mneumonic
* "~" means the dual mneumonic
* "~" means the dual mneumonic
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* Where a / occurs, self-duals take the left form and non-self-duals take the right form.
 
[[Category:Uniform polychora|$]]
[[Category:Uniform polychora|$]]

Revision as of 19:28, 18 November 2007

This is a table of uniform polychora by their Kana mnemonic.

Dx Coxeter-
Dynkin 		Variance group Form Polychoric group
Standard Krieger Conventional Alt. conv. Pentachoric Hexadecachoric Icositetrachoric Hexacosichoric
1xoooParentParentParent -ﾍﾟﾝ penﾃｽ tesuｺｼ koshiﾍｶ heka
2oxooRectateRectateHemicate -ﾐ -miﾍﾟﾝﾐ penmiﾃｽﾐ tesumiｺｼﾐ koshimiﾍｶﾐ hekami
3xxooTruncateTruncateTruncate -ﾄ -toﾍﾟﾝﾄ pentoﾃｽﾄ tesutoｺｼﾄ koshitoﾍｶﾄ hekato
4ooxo------Dual,hemic ~ﾐ ~mi(ﾍﾟﾝﾐ penmi)(ｺｼ koshi)(ｺｼﾐ koshimi)ｻｺﾐ sakomi
5xoxoCantellatesm Rhombi-Omnihemate -ﾆﾐ -nimiﾍﾟﾝﾆﾐ pennimiﾃｽﾆﾐ tesunimiｺｼﾆﾐ koshinimiﾍｶﾆﾐ hekanimi
6oxxoBitruncate---Rectate -ﾚ/* -re/*ﾍﾟﾝﾚ penreｴｽ esuｺｼﾚ koshireｻｶ saka
7xxxoCantitruncategr Rhombi-Canticate -ｶ -kaﾍﾟﾝｶ penkaﾃｽｶ tesukaｺｼｶ koshikaﾍｶｶ hekaka
8ooox------Dual ~(ﾍﾟﾝ pen)ｴｸ eku(ｺｼ koshi)ｻｺ sako
9xooxRuncinate---CantellateRect,rect-ｼﾞﾚ/*ﾚ -jire/*reﾍﾟﾝｼﾞﾚ penjireｴｽﾚ esureｺｼｼﾞﾚ koshijireｻｶﾚ sakare
10oxox------Dual,omnihem ~ﾆﾐ ~nimi(ﾍﾟﾝﾆﾐ pennimi)(ｺｼﾐ koshimi)(ｺｼﾆﾐ koshinimi)ｻｺﾆﾐ sakonimi
11xxoxRuncitruncate---Runcicate -ﾙ -ruﾍﾟﾝﾙ penruﾃｽﾙ tesuruｺｼﾙ koshiruﾍｶﾙ hekaru
12ooxx------Dual,trunc ~ﾄ ~to(ﾍﾟﾝﾄ pento)ｴｸﾄ ekuto(ｺｼﾄ koshito)ｻｺﾄ sakoto
13xoxx---PrismatorhDual,runcic ~ﾙ ~ru(ﾍﾟﾝﾙ penru)ｴｸﾙ ekuru(ｺｼﾙ koshiru)ｻｺﾙ sakoru
14oxxx------Dual,cantic ~ｶ ~ka(ﾍﾟﾝｶ penka)(ｺｼﾄ koshito)(ｺｼｶ koshika)ｻｺｶ sakoka
15xxxxOmnitruncate---OmnitruncateRect,trunc*ﾄ *toﾍﾟﾝﾚﾄ penretoｴｽﾄ esutoｺｼﾚﾄ koshiretoｻｶﾄ sakato
0ooooSnubSnubSnub -ｽ -su------ｺｼｽ koshisu---
Form syntax
  • "-" means the parent mneumonic
  • "*" means the rectate mneumonic
  • "~" means the dual mneumonic
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