User:The New Kid/To-do list

Things I'd like to add to the wiki, in no particular order.

CRF polychora

 * Remaining convex segmentochora
 * Various CRFs found on Incmats
 * HGS Discovery Index stuff
 * The two rox diminishings I found?



Stellations of icosahedron

 * Could have a single page called "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).
 * This may remove the need for 50-ish pages about hard-to-describe objects. (What would we write in the infobox's "Faces" field?)
 * Of course, we could make pages for each separate one...

Orbiforms

 * (Things like bobipyr, stiscu, rapescu, rastacu)
 * I saw a redlink for Trireplenished great icosahedron or targi
 * Sidtid-0-3-3-3
 * Disrhombitritrihedron or dritit
 * Semicupolaically faceted icosahedron and its conjugate Semicupolaically faceted great icosahedron (scuffi and scufgi)
 * Quadratisnub tetratetrahedron or quistet

Archimedean polyexa and polyzetta

 * Project size:
 * ~400 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 is symmetric (like a simplectic CD, reducing number of results) and the one for E7 is not (like a hypercubic CD).
 * ~200 6D duoprisms as facets of 7Ds/ridges of 8Ds, so probably ~400 7D duoprisms as facets of 8Ds
 * Would probably take a month to do 7D, not even counting the duoprisms
 * Problem: I don't know how to turn the lace simplex (from getting the verf) into a wiki-worthy description of the verf. Klitzing's site only describes lace simplices up to 5D.
 * Conclusion: probably not worth that amount of work.

4D star duotegums (duals of star 4D duoprisms)
Boring. Even fewer people care about this than care about 4D star duoprisms.

Other

 * OFF files for prisms of 4D uniforms



Pages that need to be written

 * Introduction to abstract polytopes
 * Polytope compound
 * Redirects to it: Compound, Polyhedron compound, Polygon compound, Polychoron compound, Compound polytope
 * Mention the existence of Fissary stuff.

Pages that need expansion

 * Introduction to polytopes
 * Introduction to higher dimensions
 * "Introduction" pages should have Category:Introductory articles.
 * The Main Page should say something like "New to polytopes? Check out (this category)" in the "About the Polytope Wiki" section.
 * Hypercubic honeycomb

Pages that need pruning

 * Goursat tetrahedron
 * If you're reading this, Boffey, I'm sorry for criticizing your wiki. I thought it was like V&D, and didn't realize it was all the work of one man.
 * List of uniform polyhedra
 * The table is too wide even for my monitor.

Dubious necessity

 * List of convex uniform polytopes:
 * 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

Did you really think I'd make a to-do list without including toroids?

 * Make Category:Toroidal polytopes.
 * Add that category to the page Toroidal polytope, because Funk prism is in Category:Funk prisms.
 * Debate whether uniform/other polytopes with Euler characteristic below the norm for their dimension are toroidal.
 * Make Category:Toroidal polyhedra within "Category:Toroidal polytopes."
 * Add that category to the text of the Szilassi polyhedron and Császár polyhedron.
 * Make Category:Quasi-convex toroidal polyhedra within "Category:Toroidal polyhedra."
 * Make a category for outer-blended non-quasi-convex stuff, so it isn't included in the same place as actually important toroids like Szilassi and Csaszar. Should be within "Category:Toroidal polyhedra" as well.
 * Name toroids in a manner that's more consistent with other pages on the wiki.
 * Existing naming scheme for quasi-convex toroids is "(convex hull)/(N small polyhedra excavated out)(inner central polyhedron excavated out)"
 * Existing naming scheme for outer-blended non-quasi-convex toroids is (list and quantity of components)
 * Both use Stewart's abbreviations, which probably look like names of Coxeter groups to you
 * Proposed naming scheme: "(component types) (number of faces)"
 * Extremely unintuitive, especially for quasi-convex toroids. They have annoying (i.e. more than one) amounts of components (or they don't have discernible components at all), and the naming scheme tries to define them by what's left behind, despite the fact that when looking at them, you see what's been removed
 * This name gives no idea of genus or symmetry
 * Make images for toroids, so we don't have the "thousands of really similar isogonals that you can't even visualize" problem.
 * Sketchup?
 * There's lots of Sketchup images on Wikimedia Commons, so doing this is probably allowed. I just don't know how to properly attribute them
 * Stella?
 * We could milk the Magentas for images, or even encourage them to find their own toroids.
 * Minor ideas for making pages:
 * Could use the Components field in the infobox (usually used for compounds) to list their components (when they have discernible components)
 * A Genus field in the infobox won't be necessary, as it corresponds bijectively to the Euler characteristic, but it is more intuitive