Polytope Wiki:List of polytope-related websites

This is a list of websites related to polyhedra and/or polytopes. Please add any more you find. Websites with an asterisk (*) have been taken down, but have been archived on other sites.

Informational resources

These are websites that give some overview on the subject.

• Polytopes & their Incidence Matrices by Richard Klitzing.
• The Polygloss by Wendy Krieger.
• Polytopes in ℝ⁴ by Marco Möller (in German). Contains an exposition of the convex uniform polychora and a dissertation showing that the enumeration is complete.

Compendiums

These are websites dedicated to showing off some class of polytopes.

Polyhedra

• Visual Polyhedra by David McCooey. These models are interactive on the browser.
• Virtual Polyhedra by George Hart. Contains VRML models for many polyhedra.
• Polyhedra Collection by Vladimir Bulatov. Another independent collection of VRML models.
• Polyhedra by Jim McNeill. Showcases near-miss polyhedra.
  • Twisted domes
• Polyhedra Project by Steve Waterman. Features many info on Waterman polyhedra.
• Polyhedra* by Sam Gratrix. Showcases uniform polyhedra and their duals.

Other dimensions or spaces

• Hedrondude's website by Jonathan Bowers - perhaps the best known amateur source on polytopes. Showcases uniform polytopes up to 6D.
  • Hedrondude's website (2002)* by Jonathan Bowers - an old archived version.
• Uniform Polytopes in Four Dimensions* by George Olshevsky, a sort of precursor to Bowers' website.
• 4D Euclidean Space by Quickfur. Showcases Johnson solids and CRF polychora.
• List of uniform honeycombs by Eric Binnendyk. Enumerates many uniform honeycombs in Bowers' style.
• Hyperbolic honeycombs by lllllllllwith10ls. Enumerates many hyperbolic honeycombs in Bowers' style.

Software

These are links to either browser applications or software that can be used to visualize and/or build polytopes.

Polytope builders

• Stella: polyhedron navigator by Robert Webb, the first software to feature the uniform polychora. Has basic capabilities to build and load other polytopes.
• Miratope (Github): an open-source alternative to Stella in current development.
  • Old Miratope (GitHub): the original version of Miratope, written in JavaScript. Very outdated and probably broken.
• Antiprism by Adrian Rossiter, features many types of polyhedra.
• PolyHédronisme by Anselm Levskaya - allows you to construct polyhedra using Conway operations.
• GeoGebra An online graphing calculator featuring many demonstrations, some of which are polyhedron-related

Polytope visualizers

• Reintope (GitHub): a minimalist open-source polytope visualizer.
• Tessera.li polyhedra viewer by Nat Alison - see relationships between Johnson solids.
• Regular polyhedra viewer by Christopher Smith - Visualize the 48 regular generalized polyhedra as described in this video
• WebGL polyhedra* by Sam Gratrix, visualizes uniform polyhedra online.
• Poly by Pedagoguery Software, a shareware program to visualize a handful of convex polyhedra.
• Nan Ma's website
• A Slice of Curiosity by Wagyx. A blog featuring several interactive geometry experiments.

Wikis

• Polytope Wiki on Miraheze, the website you're currently visiting..
• Polytopes wiki on Wikia, a wiki similar to this one that was started independently.
• WikiChoron*, a now defunct wiki dedicated to Bowers' uniforms. The wiki is no longer accessible, but the URL is still up and images are still accessible.
• Hi.gher.space wiki, one of the first polytope wikis, now largely abandoned.
• Verse and Dimensions Wikia, a hybrid fiction, physics, and math wiki.

Unclassified

• Polyedergarten by Ulrich Mikloweit
  • Their facetings page
• Hi.gher.space
  • Introduction
  • [http://hi.gher.space/forum/ Forums
• Holyhedron by Don Hatch
• Alexander's Polyhedra by Alex Doskey
• Bendwavy by Anton Sherwood
• Übersketch (most of these links come from that website's list of links)
• Roger's Polyhedra by Roger Kaufman
• Mandara - Uniform Tesselations by Hironori Sakamoto
• HyperRogue by ZenoRogue
  • Pentagonal polyhedron visualizer
• Tesselation Catalog by ZenoRogue and Marek Čtrnáct
• Branko Grünbaum
• Magnus Wenninger*
• kabai.hu
• the polyhedra world by Maurice Starck
• Uniform Polyhedra at MathConsult
• Guy's Polyhedra Pages by Guy Inchbald
• Superliminal Geometry by Melinda Green
• Kaleido* by Zvi Har'El

• Johnson Solids by Allison Chen
• Polyhedra by G. M. Fleurent and Dr. Hugo F. Verheyen
• The Geometry Junkyard by David Eppstein
• Dodecahedral Constructions by Stephan Werbeck
• Electronic Geometry Models
• Convex Regular-Faced Polyhedra with Conditional Edges by Robert R. Tupelo-Schneck
• RobertLovesPi
• Jorge Rezende
• Various software such as
  • Pedagoguery
  • The many faces of polyhedrons* by Tom York
  • HyperStar by Mark Newbold
  • World of Polyhedra
  • Tegula
  • hypercube* by Rudy Rucker
• Polyhedra articles on Wikipedia
• Polyhedra articles on MathWorld by Eric Weisstein
• Polyhedron demonstrations on Wolfram demonstrations
• Bob's Pages by Bob Allanson
• Geometry, Surfaces, Curves, Polyhedra by Paul Bourke
• Jim Buddenhaggen
• Twistohedra by Hollister David
• 3doro by Tadeusz E. Dorozinski
• Polytopes by Paulo Friere
• SingSurf by Richard Morris
• Card Polyhedra by Joseph Myers
• Tune's polyhedra pages by Marcel Tünnissen
• Archimedean Polyhedra at Isotropic.org
• polyhedra at Mathcurve
• Symmetry, Crystals and Polyhedra* by Steven Dutch
• Paper Models of Polyhedra by Gijs Korthals Altes
• Baumann Eduard
• How to Build Polyhedra by Leslie Lewis
• Polyhedra plaited with paper strips by H. B. Meyers
• Adopt a Polyhedron
• Polyhedra & Polytopes at Numericana by Gerard P. Michon
• Truncations of Polyhedra by Livio Zefiro
• Polyhedron database at Netlib
• n-Uniform tilings by Brian Galebach
• Isohedra by Scott Sherman
• The Dice Lab
• Polyhedra by David A. Richter
• polyhedra.org*
• Encyclopedia of Mathematics
• polyhedra.mathmos.net by Robert Whittaker
• polyhedron* by David Darling
• Stellations* by Roy Williams
• Jenn3D by Fritz Obermeyer
• Wythoff Explorer by Matt Zucker
• Wythoff by Greg Egan
• JSModeler Solids by Viktor Kovacs
• The Szilassi Polyhedron by Tom Ace
• Polyhedral Solids* by Tom Gettys
• Hyperbolic and Spherical Tiling Gallery by Bernie Freidin
• Semi-Regular Tilings by Kevin Mitchell
• Tilings by Jaap Scherphuis
• WHUTS by Matt Parker
• Applet to see 4D shapes by Ken Perlin (Java Applet, not compatible with modern browsers)
• Hyperbolic tilings by Sascha Rogmann
• Tesseract by David McQuillan
• Some notes on the fourth dimension by Union College
• abstract polytopes by Michael Hartley
• Associahedron Realizer by Daniel Johnson, Justin Lee, and Jackson Warley
• Building 4D polytopes by Mikael Hvidtfeldt Christensen
• The Fourth Dimension by John Savard
• Geometry by Mason Green (most of it is lost)
• hyperbolichoneycombs.org by Roice Nelson and Henry Segerman

To do: categorize the sites in some way, possibly convert to a table.