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![](/common/images/spacer.gif) Rhombic Spirallohedra
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![](/common/images/spacer.gif) 0208-718
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![](/common/images/spacer.gif) 2003-12-03
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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]
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![](/common/images/spacer.gif) hexahedron, spirallohedron, tetrahedral number, space-filling, undulating surface, 4-armed spirallohedra
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![](/common/images/spacer.gif) http://mathworld.wolfram.com/RhombicSpirallohedron.html
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| Spirallohedra.nb (216.2 KB) - Mathematica Notebook | ![](/common/images/spacer.gif) Files specific to Mathematica 2.2 version:
![](/common/images/spacer.gif) | | RhombicSpirallohedra.ma (10.3 KB) - notebook with examples |
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