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Title Downloads

Rhombic Spirallohedra
Author

Russell Towle
Old MathSource #

0208-718
Revision date

2003-12-03
Description

Spirallohedra Investigation of the rhombic polar zonohedra led to the discovery of related forms I call "k-armed rhombic spirallohedra." They have cyclic symmetry, by a k-fold rotation around the symmetry axis, but do not have central symmetry. 3- and 4-armed spirallohedra close-pack to fill space, despite being bounded by thousands or millions of faces.

[Image created by Spirallohedra.nb]
Subjects

*Arts and Humanities > Visual Art
*Mathematics > Geometry > Solid Geometry
*Wolfram Technology > Programming > 3D Graphics
Keywords

hexahedron, spirallohedron, tetrahedral number, space-filling, undulating surface, 4-armed spirallohedra
Related items

*Colored Zonotiles   [in MathSource: Packages and Programs]
*Elect, Bead, and Star Zonohedra   [in MathSource: Packages and Programs]
URL

http://mathworld.wolfram.com/RhombicSpirallohedron.html
Downloads Download Wolfram CDF Player

Download
Spirallohedra.nb (216.2 KB) - Mathematica Notebook

Files specific to Mathematica 2.2 version:
Download
RhombicSpirallohedra.ma (10.3 KB) - notebook with examples