Regular Rod Packing in Four-Dimensional Space
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概要
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Regular periodic packing of rectangular rods with infinite height is studied in the four-dimensional Euclidean space. We assume that directions of axes of rods are parallel to one of the coordinates axes of the space, and 'coordinates' that can specifiy positions of rods are always integers. Then we construct two configurations of rods; one is a configuration of 'slim' rods for which the packing density of rods is unity; another is a configuration of 'fat' rods for which the packing density of rods is 3/4. The full packing density for 'slim' rods is a new phenomenon that never occur in the usual three-dimensional space, while the packing density 3/4 for 'fat' rods coincides with that for rod packing in the three-dimensional space.
- 鹿児島大学の論文
- 2006-02-28