User:Tomruen/polyhedron db testing

Welcome to my "Polyhedron database testing" page.

I've linked this to talk pages for polyhedra which I've replaced the stat tables.

Please use this "Talk" page for questions. (Or edit this page as well if you'd like to help with this project.)

See: User:Tomruen/polyhedron database documentation

History

• 1/20/06: User:Salix alba set up this database system. See User:Pfafrich/test
• 3/2/06: I began extending it. See: Template_talk:Polyhedra_DB
• 3/3/06: I split uniform database into 3 files: reg/semireg/uniform and accessed as infotable in all 75 uniform polyhedra models. (Also compared list of uniform polyhedra to database and made corrections (mostly in vert configurations)
• 12/29/06: Tom Ruen Updated significantly, added prisms, partial Catalans.
• 7/12/10: I (no account) changed the notation of the symmetry groups to match the categories on Wallpaper group, and added links. I don't feel strongly about the change in notation, but if you decide to revert to the old notation then please at least keep the links.

Active templates

• Database templates
  • Original (Not used)
    • Template:Polyhedra DB - 75 uniform polyhedra, minus snubs
    • Template:Polyhedra snub DB - uniform "snub" forms
  • Reorganized/Expanded: Subgroup by type with slightly different "fields" for each type
    1. Template:Reg polyhedra db - 9 Platonic and Kepler-Poinsot solids.
    2. Template:Semireg polyhedra db - 13 Archimedean solids
    3. Template:Uniform polyhedra db - nonconvex, nonprisms remainder, sorted by U-indices!
    4. Template:Prism polyhedra db - samples from set of prism/antiprisms, convex and nonconvex
    5. Template:Semireg dual polyhedra db - 13 semiregular duals Catalan solids
    6. Template:Uniform tiles db
    7. Template:Uniform hyperbolic tiles db
    8. Template:Regular polygon db
    9. Template:Odd star polygon db
    10. Template:Even star polygon db
    11. Template:Star figure db
  • PLAN (empty so far)
    1. Template:Prism dual polyhedra db - prismatic duals - dipyramids and trapezohedrons.
    2. Template:Uniform dual polyhedra db - nonconvex, nonprism dual remainder
    3. Template:Johnson polyhedra db - Johnson solid
    4. Template:Uniform dual tiles db
• Info-boxes templates
  1. Template:Uniform polyhedron stat table - General uniform
  2. Template:Reg polyhedron stat table - Regular convex solids
  3. Template:Semireg polyhedron stat table - Semiregular convex solids
  4. Template:Semireg dual polyhedron stat table - Semiregular convex solids
  5. Template:Reg star polyhedron stat table - Regular nonconvex solids
  6. Template:Prism polyhedron stat table - Semiregular odd-prism and antiprisms convex solids
  7. Template:Prism even polyhedron stat table - Semiregular even-sided prism convex solids
  8. Template:Prism star polyhedron stat table - Star prisms/antiprisms
  9. Template:Reg tiling stat table
  10. Template:Uniform tiling stat table
  11. Template:Regular polygon stat table
  12. Template:Odd star polygon stat table
  13. Template:Even star polygon stat table
  14. Template:Star figure stat table
  • PLAN (empty so far)
  1. Template:Prism dual polyhedron stat table - prismatic duals: dipyramids and trapezohedrons.
  2. Template:Uniform dual polyhedron stat table - Semiregular convex solids
  3. Template:Johnson polyhedron stat table - Semiregular convex solids
  4. Template:Uniform dual tiling stat table
• Other templates:
  1. Template:Polyhedra word description
• Wiki-table templates
  1. Template:Uniform polyhedron full table2 - draft for eventual replacement of list of uniform polyhedra
  2. Template:Uniform polyhedron full table - for test
  3. Template:Uniform tiling full table
  4. Template:Uniform tiling list table - used by List of uniform planar tilings
  5. Template:Uniform hyperbolic tiling list table - used by List of uniform planar tilings
• Articles in use
  1. List of uniform polyhedra by spherical triangle
  2. List of uniform polyhedra by Wythoff symbol

Example usage

• User:Tomruen/List of uniform polyhedra and tilings
• User:Tomruen/List of uniform polyhedra and tilings2

Polyhedron database

Tasks completed

1. 3/2/06: Added stat table to most nonconvex uniform polyhedron articles
   • NEW Template:Uniform polyhedron stat table
2. 3/3/06: Added platonic solid infobox, and added to articles
   • NEW Template:Reg polyhedron stat table
   • NEW Template:Reg nonconvex polyhedron stat table
   • Extended database fields for new items (only for 9 regulars)
   • Compare/correct database to current article list of uniform polyhedra
   • NEW Template:Semireg polyhedron stat table
   • Complete new db fields - dualname/schlafi/prop/image2
   • Update articles
3. 11/28/06 - Added -image3 field to 9 regular forms and 13 semiregular nonprismatic Archimedean solids and infobox links to rotating animated gifs.
4. 12/27/06 - Added dual names to uniform database
5. 12/29/06
   1. Prisms prism (geometry) and antiprism
   2. Catalan solids (partially done)
6. 1/28/06
   1. Add convex uniform tiling database/templates,

Tasks ahead

1. Add db uniform tilings
2. Create new summary uniform polyhedron tables:
   1. list of uniform polyhedra and diversify into column sortable copies
      1. list of uniform polyhedra --> redirect to desired "default" below
      2. list of uniform polyhedra by u-index
      3. list of uniform polyhedra by w-index
      4. list of uniform polyhedra by wythoff
      5. etc.
   • ALso replace: List of Wenninger polyhedron models

FUTURE?!

1. Do can we do last/next "fields" for sequencing in stat tables (like done with Johnsons now)
2. Determine (generation time) efficiency of one or multiple database files
3. Expand polyhedron stat table templates and replace for all uniform forms
4. New database for face-uniform (duals)
5. New database for Johnson solids
6. ...

Sphericity

Do you think we should include sphericity in the infobox? Maybe roundness too. Thanks. --Hamsterlopithecus (talk) 19:25, 17 November 2007 (UTC)

Interesting. I never saw sphericity before. Feel free to expand if you have data for a specific set Regulars, semiregulars, etc. Tom Ruen (talk) 23:57, 17 November 2007 (UTC)

I don't know how =/, if you could point me in the right direction i could look up the values for various polyhedra --Hamsterlopithecus (talk) 00:07, 18 November 2007 (UTC)

Try Template:Reg_polyhedra_db for Platonic solids (first 5 only, last 4 are nonconvex and probably doesn't make sense). Add an entry like T-sphere=0.671 for tetrahedron. Then add a new table entry at Template:Reg_polyhedron_stat_table like:

|-
|bgcolor=#e7dcc3|[[Sphericity]]||{{{{{{1}}}-sphere}}}

Tom Ruen (talk) 00:17, 18 November 2007 (UTC)

Symmetry number

Is symmetry number a derived number from the numbers provided by Schläfli symbol, Wythoff symbol, Coxeter-Dynkin diagram or from the symmetry numbers? Maybe this number could also be included for the polyhedra, as it is important for chemistry and biology (crystallography, molecular structure) because the crystal arrangements or molecule arrangements are compared to the polyhedra arrangements of the same symmetry.

Kazkaskazkasako (talk) 13:00, 17 June 2009 (UTC)

I've heard of symmetry order, like a cube has symmetry order 48, defined by the symmetry group O_h (or *432). Tom Ruen (talk) 20:28, 17 June 2009 (UTC)

There's no page on symmetry order, but I've created a page on symmetry number as per chemistry "golden book". I must agree that chemical maths are not as precise as maths itself. But where is the symmetry number/order derived from? Kazkaskazkasako (talk) 07:43, 19 August 2009 (UTC)