Demonet, L. and Plamondon, P.-G. and Rupel, D. and Stella, S. and Tumarkin, P. (2017) 'SL(2)-tilings do not exist in higher dimensions (mostly).', Séminaire Lotharingien de Combinatoire. .
We define a family of generalizations of SL2-tilings to higher dimensions called ϵ-SL2-tilings. We show that, in each dimension 3 or greater, ϵ-SL2-tilings exist only for certain choices of ϵ. In the case that they exist, we show that they are essentially unique and have a concrete description in terms of odd Fibonacci numbers.
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|Record Created:||05 Apr 2017 15:28|
|Last Modified:||30 Jan 2018 10:52|
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