Roger's Polyhedra

NEW: Antiprism Addons

Polyhedra with Regular Faces

• The 75 Uniform Compounds of Uniform Polyhedra:   as enumerated by John Skilling in 1976
  • Jonathan Bower's Short Names
• The Convex Deltahedra:   and the Allowance of Coplanar Faces
• 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
• Convex 120 Degree Rhombi Regular Polyhedra:   Convex polyhedra which consist of regular faces and 120 degree Rhombi
• Convex Regular Polyhedra with Coplanar Squares and Pentagons:   Remaining Convex Cases not including 120 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

• Webview: Python based method to view local OFF and VRML/X3D files online
  
• VRML 1.0 to VRML 2.0 Conversion
• Hedron Tools
  

Question or comments about the web page should be directed to PolyhedraSmith@gmail.com.

History:

2024-06-17 Use base.css
2023-12-06 Antiprism Addons Inaugural Event
2023-08-09 Restored vr1tovr2 conversion
2023-07-17 Added X3D/VRML Test Page
2023-05-23 Added Webview
2023-05-21 Removed vr1tovr2 conversion
2023-04-07 Added Simple Off Viewer Test Page
2023-03-14 Added Diamond Solids Link
2019-03-12 Added Embedded OFF Test
2013-05-10 Added Convex Deltahedra
2012-02-22 Changed everything to index.html
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

Roger's Polyhedra, (c) 2006-2024, Roger Kaufman