Roger's Polyhedra



    Polyhedra with Regular Faces

    • The 75 Uniform Compounds of Uniform Polyhedra:   as enumerated by John Skilling. (Jonathan Bower's Short Names)
    • The Cundy (or Biform) Deltahedra:   from a paper published by H. Martyn Cundy in 1952
      • Coptic Biform Deltahedra:   if self intersecting faces are allowed
    • Möbius Deltahedra:   Deltahedra with all edges on planes of symmetry

    Rhombohedra

    • Convex 108 Degree Rhombi Regular Polyhedra:   Convex polyhedra which consist of regular faces and 108 degree Rhombi

    Trapezoidal Polyhedra

    • Convex Triamond Regular Polyhedra:   Convex polyhedra which consist of regular faces and Triamonds (Components)

    Kiteohedra

    • Kites Stars from Platonic and Archimedean Solids:   Made from periodic snap-together Antidipyramids

    The N-icon Study:   A Focus on the Surfaces Characteristics of N-icons.

    • The Sphericon: The Original N-icon
    • Point Cut Even Order N-icons: Based on even cross-sectional polygons with vertex axes
    • Side Cut Even Order N-icons: Based on even cross-sectional polygons with edge center axes
    • Odd Order N-icons: Based on odd cross-sectional polygons
    • Hybrid N-icons: When half of a Point Cut Even Order N-icon is joined with a Side Cut of the same N
      • The Case for Hybrid N-icons where N is a Power of 2
    • Rubiksfication of non-chiral faceted Even Order N-icons
    • Polycons: When conic sections are joined to polyhedra


    Utilities

    Hedron Tools

    VRML 1.0 to VRML 2.0





    Page History:

    2009-03-07 Revised commentary on duals of N-icons
    2008-02-08 Added Möbius Deltahedra
    2008-01-30 Added Cundy Coptic Deltahedra
    2008-01-16 Added Cundy Deltahedra
    2007-12-09 Added KSPA
    2007-09-06 Added N-icon Study
    2007-03-07 Added vr1tovr2
    2007-01-06 Added Triamonds
    2006-12-17 Added Compounds
    2006-11-29 Added Hedron Tools
    2006-11-27 Initial Release




    Link to this page as http://www.interocitors.com/polyhedra

    Roger's Polyhedra, (c) 2006, Roger Kaufman