User:The New Kid/To-do list

The wiki as a place of learning...?
Some people lament the fact that the wiki is pretty much only useful for experts (while also lacking a lot of information, but that's another issue).

Do we want "Introductory articles" on certain topics? Or is it better for new users to talk to people/read pinned messages in Polytope Discord or visit other sites?

If we want these, maybe we could put something on the Main Page like "If you want to start learning about polytopes, you might be interested in the following" in the "About the Polytope Wiki" section, then link to them there.

Stubby pages that deserve expansion

 * Snub: needs different examples of snubs, needs to mention holosnubbing


 * Stellation
 * Angular defect
 * Tetrahedral ursachoron: should it be in Ursachora category, itself in Ursatopes, itself in Orbiform polytopes?
 * Ellipse, Ellipsoid: can we get ideas from Superellipse, Superegg, or Superellipsoid?
 * Polyhendon (that's 12D): can base it on Polyteron or Polypeton

Pages that need work

 * Convex regular-faced polytope: I want sections about different possible kinds of CRFs, like Incmats has. Segmentotopes, non-orbiform monostratics (like the J91 pseudopyramid), multistratics (including ursachora), augmentations/diminishings/gyrations, lunae/wedges, expanded kaleido-facetings...
 * Hypercubic honeycomb, Demicross: should get infoboxes like Simplex, Hypercube, and Orthoplex have. We can even write CDs for these . Maybe pictures too.


 * Goursat tetrahedron: could use some clean-up, and context for that last column in the table
 * Polytope compound: mention what Fissary is, provide an example too.
 * Make Component redirect to "Polytope compound#Component"? It should not be a disambiguation. But we'll need a section about components, and there's not much to say about them.
 * Cupola: expand section "Cupolaic blends" with Tutrip and others (6/2 atop 6, 8/2 atop 8, maybe hollow cube atop small disoctahedron or hollow cuboctahedron atop stella octangula if we make pages for them), add Incmats external link
 * Waterman polyhedron: at the very least, add Incmats external link
 * Need pictures:
 * Self-intersection
 * Apparently idcossid coordinates are just the quippirfix's coordinates "scaled to padohi's circumradius." Dircospid coordinates are pirghi's coordinates "scaled to gidipthi's circumradius." These coordinates could be written on the regiment leaders.


 * List of convex uniform polytopes (Low priority)
 * Add Gap. Sadi is already there
 * Add all non-prismatics up to 8D, probably in collapsible tables
 * List all the ways (multi)prisms can be formed in each dimension.
 * Not in tables, just say for each dimension "you can make prisms out of these uniforms, duoprisms out of polygons and these uniforms..." and so on

Making files

 * Pictures
 * Orbiform cells of scaliform polychora mentioned below
 * Rayne's n-6-3 acrohedra
 * OFF files
 * Orbiform cells of scaliform polychora mentioned below
 * Category:Convex uniform polypeta
 * Category:5D uniform prisms - the prisms of 4D uniforms
 * Category:Convex uniform dual polytera
 * Bilinski dodecahedron
 * I can make STL files, if we need any of those
 * I was thinking about making SVG files for the larger star polygons that don't have Wikimedia images, or for scaliform diminishings

Pages to be written

 * Faceting
 * Canonical polyhedron: redirect Canonicity to it, give it Category:Polytope properties
 * Tapertopic notation, Toratopic notation, Bracket notation
 * Pedisna
 * First and second stellations of the rhombic dodecahedron
 * Rhombic icosahedron
 * Great stellated dodecahedral pyramid: can base it on Small stellated dodecahedral pyramid
 * Goldberg polyhedron

Stellations of icosahedron

 * Could have a page called "List of stellations of the icosahedron" with a table that lists them all (as well as which areas of the stellation diagram they use, and pictures of their diagrams/faces).
 * Could put Template:Ike stellation on the pages (for individual ones) we make

CRF polychora
(There are surely more than are mentioned here. They will get the infobox line  if they're not segmentotopes. May refer to the HGS index)
 * The remaining convex segmentochora
 * Various CRFs found on Incmats
 * HGS Discovery Index stuff

Archimedean polyexa (and polyzetta)

 * Project scope:
 * ~400 Archimedeans in 7D (~800 in 8D)
 * Total in 7D exceeds the usual trend of doubling the amount of the previous dimension because the Coxeter diagram for E6 itself has a symmetry (like a simplectic CD, reducing number of results) and the one for E7 does not (like a hypercubic CD).
 * ~200 6D duoprismatics and 5D-uniform prisms as facets of 7Ds/ridges of 8Ds (so probably ~400 7D duoprismatics and 6D-uniform prisms as facets of 8Ds)
 * Get elements from Incmats, Wikipedia, or calculate from the CD if the former two aren't present
 * Can calculate ridges by adding up all the facets of the facets, and dividing the counts by 2
 * Slight problem: There's some information about calculating the number of facets from a CD, but I haven't really figured it out yet.
 * Get verf from CD
 * Slight problem: Even if Incmats now has 6D lace simplices, I might not know the right name for a particular lace simplex with symmetry altered by non-unit edge lengths.
 * Get circumradius and hypervolume with some program
 * Calculate number of facets meeting at vertices
 * Would take well over a month to do 7D, not even counting the prismatic facets
 * Wikipedia doesn't have pictures for a lot of them. So we'd be making hundreds of similar pages without pictures again (although they could have OFF files and plenty of information to make up for this).

(Uniform) idtessids

 * Even with OFF files of all the idtessids, we don't know which Bowers names they correspond to (orientation 1? orientation 4?)
 * One could compare the verf and the blend components of each OFF file with the information on Bowers' site, but this would be extremely laborious

4D star duotegums

 * The duals of star 4D duoprisms. Low priority

Orbiforms (scaliform facets)
(They will get the infobox line  if they're not segmentotopes)

Toroids

 * We'd probably be better off sticking to the plan of only making pages for ones with extremal properties, like fewest faces, fewest vertices, highest genus.
 * I don't think we really want three pages for different cubic-symmetry toroids dug into a great rhombicuboctahedron?
 * Or we could just make a "K4 world" page and list a bunch of information from that chapter of Adventures there. Both options seem awkward, but Sycamore916 did link to T5 country on the page P*.

We don't really need pages on non-quasi-convex Stewart toroids. There's just too many of them for any to be important. Besides, we don't have a good way to name them if they aren't made of copies of a single already-named polyhedron. But here are a couple of pre-existing images in case that doesn't dissuade you.