Wolfram Library Archive


Topic for October 6, 2004: Rhombic Spirallohedra

Spirallohedra Russell Towle donated his beautiful explorations into polar zonohedra. He has continually improved on the notebook as he makes new discoveries.

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.

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