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- W3139849189 abstract "A simplex S is called an m-reptile if it can be tiled without overlaps by simplices S 1 , S 2 ,..., S m that are all congruent and similar to S. The only m-reptile d-simplices that seem to be known for d > 3 have m = k d , k > 2. We prove, using eigenvalues, that there are no 2-reptile simplices of dimensions d > 3. This investigation has been motivated by a probabilistic packet marking problem in theoretical computer science, introduced by Adler in 2002." @default.
- W3139849189 created "2021-04-13" @default.
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- W3139849189 date "2004-01-01" @default.
- W3139849189 modified "2023-09-27" @default.
- W3139849189 title "Nonexistence of 2-Reptile Simplices." @default.
- W3139849189 hasPublicationYear "2004" @default.
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