kaleido
Class Uniform

java.lang.Object
  kaleido.Uniform

public class Uniform
extends Object

List of Uniform Polyhedra and Their Kaleidoscopic Formulae.

Each entry contains the following items:

1. Wythoff symbol.
2. Polyhedron name.
3. Dual name.
4. Coxeter et al. reference figure.
5. Wenninger reference figure.

Notes:

1. Cundy and Roulette’s trapezohedron has been renamed to deltohedron, as its faces are deltoids, not trapezoids.
2. The names of the non-dihedral polyhedra are those which appear in Wenninger (1984). Some of them are slightly modified versions of those in Wenninger (1971).

References:

Coxeter, H.S.M., Longuet-Higgins, M.S. and Miller, J.C.P.,

Uniform polyhedra, Phil. Trans. Royal Soc. London, Ser. A, 246 (1953), 401-409.

Cundy, H.M. and Rollett, A.P.,

“Mathematical Models”, 3rd Ed., Tarquin, 1981.

Har’El, Z.

Uniform Solution for Uniform Polyhedra, Geometriae Dedicata, 47 (1993), 57-110.

Wenninger, M.J.,

“Polyhedron Models”, Cambridge University Press, 1971.

“Dual Models”, Cambridge University Press, 1984.

Version:

$Id: Uniform.java,v 1.79 2007/02/09 20:13:31 rl Exp $

Author:

Zvi Har’El

See Also:

Class source code

Nested Class Summary

static class

Uniform.Entry

Field Summary

static Uniform.Entry[]

list

Constructor Summary

Uniform()

Method Summary

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

list

public static final Uniform.Entry[] list

Constructor Detail

Uniform

public Uniform()