It is my intention that with these files you can get almost every
information you wish about regular polytopes upto the 5th dimension.
Much information is derived from:
H. S. M. Coxeter
Regular Polytopes
Methuen & Co. Ltd., London, 1948
for which a Dover reprint does exist. I have made an attempt to find
all regular objects found in the regular polytopes (and in this found
a few compounds not given by Coxeter, see, amongst others,
section 18 of {5, 3, 3}).
The information is organised as follows:
- Some introduction page that (summarily)
reviews the basic information from Coxeter. Note that also some
information from outside that book is given.
- A description page that describes the
layout of the tables and data files.
- The table that functions as basic entry
point to the data.
- And the compounds page that
gives references to all the compounds.
- Also a page is in progress with
a pictorial display of almost all polytopes
discussed.
New information about compounds:
- Many compounds show left- and right-handedness, and some also have
variants, in section 2 of {3,3,5}.
- Much left- and right-handedness is going on in the compounds in
sections 3, 8 and 19 of {5,3,3}.
- A not yet known {5,3,3}[25{3,4,3}]{3,3,5} in many variants in
section 8 of {5,3,3}.
- Not yet known {5,3,3}[25{3,4,3}] (not cell-regular, but some symmetric)
in many variants in section 8 of {5,3,3}.
- An unfathomable large number of compounds of 2{5,3,3}[75{4,3,3}]
in many variants in section 8 of {5,3,3}.
- An unfathomable large number of compounds of {5,3,3}[75{3,3,4}]
in many variants in section 15 of {5,3,3}.
- 8{5,3,3}[720{3,3,3}] in section 18 of {5,3,3}.
- Probably a huge number of variants of {5,3,3}[120{3,3,3}] in
section 18 of {5,3,3}.
The information here is still incomplete and in progress!