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Article overview
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Perfect Parallelepipeds Exist | | Jorge F. Sawyer
; Clifford A. Reiter
; | | Date: |
1 Jul 2009 | | Abstract: | There are parallelepipeds with edge lengths, face diagonal lengths and body
diagonal lengths all positive integers. In particular, there is a
parallelepiped with edge lengths 271, 106, 103, minor face diagonal lengths
101, 266, 255, major face diagonal lengths 183, 312, 323, and body diagonal
lengths 374, 300, 278, 272. Brute force searches give 12 primitive perfect
parallelepipeds with edges less than 2500. Searches for such perfect
parallelepipeds also led to configurations satisfying necessary diophantine
equations but which are not realizable in R^3. | | Source: | arXiv, 0907.0220 | | Services: | Forum | Review | PDF | Favorites | |
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