Perfect parallelepipeds exist
نویسندگان
چکیده
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 R3.
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عنوان ژورنال:
- Math. Comput.
دوره 80 شماره
صفحات -
تاریخ انتشار 2011