This page includes several polytope spreadsheets as well as zipped Stella files. Simply right click the titles and save. Most spreadsheets are in .xlr format. Updated 2020 with the addition of the polytope short name list. Updates also for the entire first section and the mo and brag regiments.

Polytope Lists

Uniform Polychora - This is a list of the uniform polychora (I have yet to finish the idcossidic ones.) Black, blue, and green represent legit polychora, fissaries, and pure compounds respectively. Column A are regiment list numbers, column B has the short names, column C has the cell list, column D has the long name abbreviations, and column E has the list number from my website.

Uniform Polytera - This is a list of the known uniform polytera (5-D), black are legit polytera, blue are fissary, green are pure compounds, and pink are scaliforms. Column A are regiment list numbers, column B has short names with the colonel in bold. Column C are the facets (terons), column D are the long name abbreviations. Column E shows which polytera I coded into POV-Ray, x = coded, xx = are on the Polyteron of the Day webpage. Column F and G are orientability and nature (not completely filled yet), H are the symbols (an xx means it is Wythoffian, and the symbol hasn't been included just yet.)

Uniform Polypeta - This is a list of the known uniform polypeta (6-D), it has a long way to go to be finished, there are a lot of gaps I have yet to fill in and it may be years before I get this one done. Many of the smaller regiments are filled in though. True polypeta are in black, fissary in blue, pure compounds in green. Column A has a list number for each regiment, column B has short names, colonels of the regiments are in bold. Column C lists the facets (petons), column D has a long name abbreviation, some legends may be found in column E. Columns F and G reveal the orientability and natures and column H have symbols for the Wythoffian cases. Be aware this spreadsheet is no where near completed.

Regiments - Here is a list of all known non-prismattic uniform regiments from three dimensions up to eight dimensions. I suspect all of the Wythoffian regiments are accounted for, but there may be undiscovered non-Wythoffians. Column A has the regiment's colonel which the regiment is named after, it's symbol is in column B. Column C shows how many members are true polytopes, if they are in brackets, they haven't been defissed yet. Column D describes the vertex figure, if Klitzing's || (atop) notation is seen, treat them like a simplex arrangement instead of a linear arrangement - for example x || y || z will draw a triangle of x, y, and z instead of a line. Column E tells how many vertices each regiment has. In the future I plan to continue counting the 6-D regiments and I may add the 9-D ones.

Polytope Short Names - Here is a list of polytope short names. There are over 10,000 polytopes listed and there are still named polytopes yet to be listed, it's a work in progress.

Polytope Regiments

Nit Regiment - Nit is ooxo'o. I first done this search by hand and then with a computer. The black ones are either legit or fissary, the cyan one is a pure compound, green are the inter-regimental compounds. The facet regiments are in Columns A-I: srip 1, srip 2, rap 1, rap 2, rit, ico, cope, tisdip, and shiddip. Column J are the number of facet types. Column K is the short name, and column L are the list numbers. Column M is the fissary search check list, F for fissary.

Mo Regiment - Mo is the 122 polytope, symbol oo6oo. I done a computer search of this one looking for members with jak or mo symmetry. Subsymmetrics has yet to be searched. True polytopes are in black, fissaries are in blue, pure compounds in green. Columns A-F are the facet regiments in this order: hin 1 (tratrip also, only shows up for a compound), hin 2, rat, dot, rappip 1, rappip 2. Number of facet types are in column G. Short names are in column H and a list number in column I. Columns J and K are check list for various facials to check for fissary behavior. Column L is a long name abbreviation where the legend is in column N. A few old names are seen in columns M or O.

Scal Regiment - Scal is oxooox. I done this search on the computer. Black, blue, and green represent true polytopes, fissaries, and pure compound respectively. Columns A-I are the facet regiments in this order: spix, rix, scad, rappip, spiddip, traco, troct, tratet, and hatet. Column J is for number of facet types. Columns L and N are the list number and short name (only scal is named so far). Column M is a check list, an x for true polytopes. Columns P, Q, and R represent a fissary behavior check list for square, trip1, and trip2 facials.

Srog Regiment - Srog is xoxoo'o, the legit, fissary, and pure compounds are in black, blue, and green respectively. Columns A-L are the facet regiments: rat, sarx 1, sarx 2, sart, cappix 1, cappix 2, hexip, tot, hoct, thexip, squatut, and tratoe. Column M shows the number of facet types and column N is a fissary check list. This list was done using POV-Ray code.

Sochax Regiment - Sochax is xoo8x. This search was done on a computer. The legit, fissary, and pure compounds are represented in black, blue, and green respectively. The facet regiments are in columns A-K: siphin, spix, sarx, scad, hin, hexip, hix, tix, tratet, hatet, and tratut. Column L has the number of facet types. Column M is a fissary checklist and column N is for counting the fissaries.

Trim Regiment - Trim is xo8ox. The search was done on a computer. The legit and fissary ones are colored in black and blue respectively, there were no pure compounds found. Column K has the number of facet types, column L is a fissary check list, and columns M and N counts the fissaries and the full mo symmetric fissaries respectively. Columns A-J are the facet regiments: siphin 1, siphin 2, scad, rin, tac 1, tac 2, penp 1, penp 2, tix 1, and tix 2. This list only contains those with jak or mo symmetry, no known sub-symmetrics are known yet.

Naq Regiment - Naq is the E7 polytope, symbol xoo8oo. I done this regiment by hand, listed are the true polytope members (in black) and pure compounds (in green). I'll also add fissaries (in blue) soon. There are 7 nobles in this regiment. Columns A-G lists the facets, each column for each facet regiment. The facet regiments are from A-G: gee, hep, jak, ril, hixip, tacup, and trapen. All members have naq symmetry, there may be undiscovered sub-symmetric members. Columns H and I lists the short names and a long name abbreviation. Columns J and K has a legend for the letters in the long name.

Brag Regiment - Brag is ooxoo'o. The search was done on a computer. I have yet to finish the defissing, but I have found several cases (those easier to spot) which has an F in column N. Those with nothing in column N may either be legit or fissary. There are 11 pure compounds colored in green, with a C# in column N. One compound and two (likely legit) members are noble. Column O is used to count compounds and fissaries, column M shows how many types of facet there are. Columns A-L are the facet regiments: rat, spix1, spix2, squaco, nit, icope, dot1, dot2, troct, squoct, traco, and hoct. This list only contains those with hax or ax symmetry, no sub-symmetrics are known yet.

Stella Files

Stellachoron Nets - This zip file contains many .stel files which can be viewed on Stella4D and may also be viewable on Great Stella, not sure about Small Stella though. Currently Stella4D can only create nets for convex polychora, the star ones on the other hand will need to be excavated. Using a few tricks, I excavated not only the pieces of around 80 star polychora, but made an assemble of the pieces as well as 'combos' which shows how they fit together to make models - in other words, they are like pages out of the non-existing 4-D version of Magnus Wenninger's Polyhedron Models - "Polychoron Models". So if you are ever in a four dimensional world and wish to make a getit xethi or a wavdatixady, you can check it out here. Some of the pieces look like space ships, sea urchins, bowls, numbers or letters, and all sorts of bizarre shapes. The "Piece Sets" shows an arrangement of the polychoron's piece types, the "Combo Sets" will show how these pieces fit together in combos. For a while I was afraid that I lost all of these when my computer's hard drive crashed last May, but thank God I had them safely on my web space.

Stellachoron Nets Version 2 - This zip file contains an updated rendition of the Stellachoron Nets. It contains all of the ones from the previous version with one that needed a fix (think it was rigfix or gofix - guess it needed an extra fix). It also contains many others including some really strange and complicated ones and many with gaquatids amongst the cells.

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