Table of kanichora (Meta, 11)
From Hi.gher. Space
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|4||ooxo||---||---||Dual,hemic|| ||~ﾐ ~mi||([[ﾍﾟﾝﾐ]] penmi)||([[ｺｼ]] koshi)||([[ｺｼﾐ]] koshimi)||[[ｻｺﾐ]] sakomi | |4||ooxo||---||---||Dual,hemic|| ||~ﾐ ~mi||([[ﾍﾟﾝﾐ]] penmi)||([[ｺｼ]] koshi)||([[ｺｼﾐ]] koshimi)||[[ｻｺﾐ]] sakomi | ||
|- | |- | ||
| - | |5||xoxo||Cantellate||sm Rhombi-|| | + | |5||xoxo||Cantellate||sm Rhombi-||Cantellate|| ||-ｶ -ka||[[ﾍﾟﾝｶ]] penka||[[ﾃｽｶ]] tesuka||[[ｺｼｶ]] koshika||[[ﾍｶｶ]] hekaka |
|- | |- | ||
|6||oxxo||Bitruncate||---||Rectate|| ||-ﾚ/* -re/*||[[ﾍﾟﾝﾚ]] penre||[[ｴｽ]] esu||[[ｺｼﾚ]] koshire||[[ｻｶ]] saka | |6||oxxo||Bitruncate||---||Rectate|| ||-ﾚ/* -re/*||[[ﾍﾟﾝﾚ]] penre||[[ｴｽ]] esu||[[ｺｼﾚ]] koshire||[[ｻｶ]] saka | ||
|- | |- | ||
| - | |7||xxxo||Cantitruncate||gr Rhombi-||Canticate|| ||- | + | |7||xxxo||Cantitruncate||gr Rhombi-||Canticate|| ||-ﾄｶ -toka||[[ﾍﾟﾝﾄｶ]] pentoka||[[ﾃｽﾄｶ]] tesutoka||[[ｺｼﾄｶ]] koshitoka||[[ﾍｶﾄｶ]] hekatoka |
|- | |- | ||
|8||ooox||---||---||Dual|| ||~||([[ﾍﾟﾝ]] pen)||[[ｴｸ]] eku||([[ｺｼ]] koshi)||[[ｻｺ]] sako | |8||ooox||---||---||Dual|| ||~||([[ﾍﾟﾝ]] pen)||[[ｴｸ]] eku||([[ｺｼ]] koshi)||[[ｻｺ]] sako | ||
|- | |- | ||
| - | |9||xoox||Runcinate||---|| | + | |9||xoox||Runcinate||---||Runcinate||Rect,rect||-ｷﾚ/*ﾚ -kire/*re||[[ﾍﾟﾝｷﾚ]] penkire||[[ｴｽﾚ]] esure||[[ｺｼｷﾚ]] koshikire||[[ｻｶﾚ]] sakare |
|- | |- | ||
| - | |10||oxox||---||---||Dual, | + | |10||oxox||---||---||Dual,cantel|| ||~ｶ ~ka||([[ﾍﾟﾝｶ]] penka)||([[ｺｼﾐ]] koshimi)||([[ｺｼｶ]] koshika)||[[ｻｺｶ]] sakoka |
|- | |- | ||
| - | |11||xxox||Runcitruncate||---||Runcicate|| ||- | + | |11||xxox||Runcitruncate||---||Runcicate|| ||-ﾄﾙ -toru||[[ﾍﾟﾝﾄﾙ]] pentoru||[[ﾃｽﾄﾙ]] tesutoru||[[ｺｼﾄﾙ]] koshitoru||[[ﾍｶﾄﾙ]] hekatoru |
|- | |- | ||
|12||ooxx||---||---||Dual,trunc|| ||~ﾄ ~to||([[ﾍﾟﾝﾄ]] pento)||[[ｴｸﾄ]] ekuto||([[ｺｼﾄ]] koshito)||[[ｻｺﾄ]] sakoto | |12||ooxx||---||---||Dual,trunc|| ||~ﾄ ~to||([[ﾍﾟﾝﾄ]] pento)||[[ｴｸﾄ]] ekuto||([[ｺｼﾄ]] koshito)||[[ｻｺﾄ]] sakoto | ||
|- | |- | ||
| - | |13||xoxx||---||Prismatorh||Dual,runcic|| ||~ | + | |13||xoxx||---||Prismatorh||Dual,runcic|| ||~ﾄﾙ ~toru||([[ﾍﾟﾝﾄﾙ]] pentoru)||[[ｴｸﾄﾙ]] ekutoru||([[ｺｼﾄﾙ]] koshitoru)||[[ｻｺﾄﾙ]] sakotoru |
|- | |- | ||
| - | |14||oxxx||---||---||Dual,cantic|| ||~ | + | |14||oxxx||---||---||Dual,cantic|| ||~ﾄｶ ~toka||([[ﾍﾟﾝﾄｶ]] pentoka)||([[ｺｼﾄ]] koshito)||([[ｺｼﾄｶ]] koshitoka)||[[ｻｺﾄｶ]] sakotoka |
|- | |- | ||
|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 | |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 | ||
Revision as of 01:12, 30 May 2010
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 | |||
| 1 | xooo | Parent | Parent | Parent | - | ﾍﾟﾝ pen | ﾃｽ tesu | ｺｼ koshi | ﾍｶ heka | |
| 2 | oxoo | Rectate | Rectate | Hemicate | -ﾐ -mi | ﾍﾟﾝﾐ penmi | ﾃｽﾐ tesumi | ｺｼﾐ koshimi | ﾍｶﾐ hekami | |
| 3 | xxoo | Truncate | Truncate | Truncate | -ﾄ -to | ﾍﾟﾝﾄ pento | ﾃｽﾄ tesuto | ｺｼﾄ koshito | ﾍｶﾄ hekato | |
| 4 | ooxo | --- | --- | Dual,hemic | ~ﾐ ~mi | (ﾍﾟﾝﾐ penmi) | (ｺｼ koshi) | (ｺｼﾐ koshimi) | ｻｺﾐ sakomi | |
| 5 | xoxo | Cantellate | sm Rhombi- | Cantellate | -ｶ -ka | ﾍﾟﾝｶ penka | ﾃｽｶ tesuka | ｺｼｶ koshika | ﾍｶｶ hekaka | |
| 6 | oxxo | Bitruncate | --- | Rectate | -ﾚ/* -re/* | ﾍﾟﾝﾚ penre | ｴｽ esu | ｺｼﾚ koshire | ｻｶ saka | |
| 7 | xxxo | Cantitruncate | gr Rhombi- | Canticate | -ﾄｶ -toka | ﾍﾟﾝﾄｶ pentoka | ﾃｽﾄｶ tesutoka | ｺｼﾄｶ koshitoka | ﾍｶﾄｶ hekatoka | |
| 8 | ooox | --- | --- | Dual | ~ | (ﾍﾟﾝ pen) | ｴｸ eku | (ｺｼ koshi) | ｻｺ sako | |
| 9 | xoox | Runcinate | --- | Runcinate | Rect,rect | -ｷﾚ/*ﾚ -kire/*re | ﾍﾟﾝｷﾚ penkire | ｴｽﾚ esure | ｺｼｷﾚ koshikire | ｻｶﾚ sakare |
| 10 | oxox | --- | --- | Dual,cantel | ~ｶ ~ka | (ﾍﾟﾝｶ penka) | (ｺｼﾐ koshimi) | (ｺｼｶ koshika) | ｻｺｶ sakoka | |
| 11 | xxox | Runcitruncate | --- | Runcicate | -ﾄﾙ -toru | ﾍﾟﾝﾄﾙ pentoru | ﾃｽﾄﾙ tesutoru | ｺｼﾄﾙ koshitoru | ﾍｶﾄﾙ hekatoru | |
| 12 | ooxx | --- | --- | Dual,trunc | ~ﾄ ~to | (ﾍﾟﾝﾄ pento) | ｴｸﾄ ekuto | (ｺｼﾄ koshito) | ｻｺﾄ sakoto | |
| 13 | xoxx | --- | Prismatorh | Dual,runcic | ~ﾄﾙ ~toru | (ﾍﾟﾝﾄﾙ pentoru) | ｴｸﾄﾙ ekutoru | (ｺｼﾄﾙ koshitoru) | ｻｺﾄﾙ sakotoru | |
| 14 | oxxx | --- | --- | Dual,cantic | ~ﾄｶ ~toka | (ﾍﾟﾝﾄｶ pentoka) | (ｺｼﾄ koshito) | (ｺｼﾄｶ koshitoka) | ｻｺﾄｶ sakotoka | |
| 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 |
| 0 | oooo | Snub | Snub | Snub | -ｽ -su | --- | --- | ｺｼｽ koshisu | --- | |
- Form syntax
- "-" means the parent mneumonic
- "*" means the rectate mneumonic
- "~" means the dual mneumonic
- Where "/" separates two forms, self-duals take the left form and non-self-duals take the right form.
