Herb Holden once observed that packing material consisting of copies of a cube of side 2 inches from which a unit corner cube is removed tiles R3 by translates. In [l] Conlan generalized this fact, proving that a polytope obtained from a unit cube in R3 by deleting a corner box of which two dimensio
β¦ LIBER β¦
Tiling space with notched cubes
β Scribed by James H. Schmerl
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 729 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Stein (1990)
discovered (n -l)! lattice tilings of R" by translates of the notched n-cube which are inequivalent under translation. We show that there are no other inequivalent tilings of IF!" by translates of the notched cube.
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