This page is just a reference for the full list of uniform polychora. It's not defendable content for Wikipedia, but since Tomruen has his own ( User:Tomruen/list of uniform polychora), here's mine (this one has the full names as well!) All information is based on Jonathan Bowers' polychoron website. Only categories 16 and 23 are not given there. So I invite you to click there if you want to see actually comprehensible information and great writing instead of incomprehensible tables filled with Greek names. :-Þ
AFAIK, only Bowers' pages also give correct full names, but he abbreviates the Greek prefixes (e.g. "hexacosi-" becomes "600" on his website). I have tried to solve problems caused by vowel collision (e.g. for hinnit, the "16intercepted tesseract", where I changed "hexadecaintercepted" to "hexadekintercepted") using strategies by Bowers, Johnson, Klitzing, etc.
Here, the polychora have been split into different pages corresponding to Bowers' categories, unlike Tomruen's subpage where they are all on one page. This is done here simply to make things easier and faster to read.
Some might remember having seen something very much like this before I changed username. That's been deleted: most of it was wrong (WikiChoron seems to have messed up some of the names: maybe they didn't have the full names and just extrapolated them from the Bowers acronyms?). Everything should be correct now (though if you want to be sure, go to Bowers' website. It's prettier and more comprehensible.)
Updates:
Coming Soon: categories 16, 23 and 25. Also, Coxeter-Dynkin diagrams for the Wythoffian ones, cells, and regiments. (done: Categories 1–5 and 7)
Conversion from linear abbreviation (the 4D TOCID symbol):
Conversion from linear Coxeter-Dynkin diagram notation is given at http://www.polytope.net/hedrondude/glossary.htm. I use this because it's the fastest way to type Coxeter-Dynkin diagrams. (If only you could parse them into {{ CDD}}!)
This page is just a reference for the full list of uniform polychora. It's not defendable content for Wikipedia, but since Tomruen has his own ( User:Tomruen/list of uniform polychora), here's mine (this one has the full names as well!) All information is based on Jonathan Bowers' polychoron website. Only categories 16 and 23 are not given there. So I invite you to click there if you want to see actually comprehensible information and great writing instead of incomprehensible tables filled with Greek names. :-Þ
AFAIK, only Bowers' pages also give correct full names, but he abbreviates the Greek prefixes (e.g. "hexacosi-" becomes "600" on his website). I have tried to solve problems caused by vowel collision (e.g. for hinnit, the "16intercepted tesseract", where I changed "hexadecaintercepted" to "hexadekintercepted") using strategies by Bowers, Johnson, Klitzing, etc.
Here, the polychora have been split into different pages corresponding to Bowers' categories, unlike Tomruen's subpage where they are all on one page. This is done here simply to make things easier and faster to read.
Some might remember having seen something very much like this before I changed username. That's been deleted: most of it was wrong (WikiChoron seems to have messed up some of the names: maybe they didn't have the full names and just extrapolated them from the Bowers acronyms?). Everything should be correct now (though if you want to be sure, go to Bowers' website. It's prettier and more comprehensible.)
Updates:
Coming Soon: categories 16, 23 and 25. Also, Coxeter-Dynkin diagrams for the Wythoffian ones, cells, and regiments. (done: Categories 1–5 and 7)
Conversion from linear abbreviation (the 4D TOCID symbol):
Conversion from linear Coxeter-Dynkin diagram notation is given at http://www.polytope.net/hedrondude/glossary.htm. I use this because it's the fastest way to type Coxeter-Dynkin diagrams. (If only you could parse them into {{ CDD}}!)