the LiveGraphics3D applet and interesting sites 08-02-2009
ENGLISH version


How to leave this page?  Good question!

Of course you can use the "previous page" button or return to the summary, but you may also discover other sites devoted to polyhedra by clicking on one of the labels on the globe.
(Data extracted by Martin Kraus from the Mathematica package Miscellaneous `WorldData`).
The zoom function let you better distinguish the labels.
If an applet refuses to start, reload the page with Shift+[reload].

LiveGraphics3D

This Java applet has been developed by Martin Kraus; it allows you to move 3D graphics with your mouse.
Thanks to Martin for his help, especially for the parameterised animations.

Two sites to learn to write your own LiveGraphics3D applets:
  ●   LiveGraphics3D homepage by Martin Kraus
  ●   Constructing mathlets quickly using LiveGraphics3D

How to use LiveGraphics3D:

As soon as the pointer enters an applet zone the applet takes the focus and keeps it until it leaves the zone (click outside an applet to reactivate the keyboard shortcuts).
If, to reach a pop-up window P, the pointer goes over an applet in the main window M, this applet, and thus also M, picks up again the focus and may hide P (use the task bar to give the focus back to P or minimize M).

Below "left"/"right" points out the mouse's button to click, and "Shift"/"Ctrl" points out the additional key to maintain.

My favourite sites and programs (cf labels on the globe):

New York Hundreds of polyhedra and sculptures by George W. Hart (needs a VRML plug-in)
and his polyhedron generator using John Conway's notation.
Brisbane Many very nice POV-Ray images with the data used to define the displayed polyhedron (Object File Format).
Illinois The polyhedra in Eric W. Weisstein's MathWorld encyclopedia (Wolfram) with LiveGraphics3D.
Seattle WA An impressive collection of applets with a lot of data by David I. McCooey.
Erlangen The regular and normal kaleidocycles' theory by Marcus Engel, with a nice animation (applet).
Zaragoza Study of an IsoAxis object with a video clip (in Spanish, translation in French).
Brussels The course by Xavier Hubaut: polyhedra and groups of isometries (in French).
Rennes Nice pages by Nicolas Hannachi, especially about "kissing circles" and "kissing spheres" (in French).
Terrace Poly is a must to begin with convex polyhedra.
Melbourne Great Stella is a very complete program to explore the polyhedra world and create your own models;
a paper by the author, published in Symmetry: Culture and Science journal, summarizes the many features offered by Stella, and takes stock up of the research in polyhedra theory.
Stella4D is the ultimate tool for 3D or 4D investigation written by Robert Webb.
To produce the images animated with LiveGraphics3D from Martin Kraus (Germany) I used Mathematica, Great Stella  by Robert Webb (Australia), Hedron  by Jim McNeill (United Kingdom) and the polyhedron generator (John Conway's notation) by George W. Hart (USA).
Data from Eric Hackenholz, Christian Camalon and Hubert Martineau (Reunion Island, France), Xavier Hubaut (Free University of Brussels), Eric W. Weisstein (Wolfram Research, USA), George W. Hart (New York), Guy Inchbald (United Kingdom), Nicolas Hannachi (France), Arnaud Chéritat (France) and Maurice Starck (New-Caledonia, France).