Demonet, L. and Plamondon, P.-G. and Rupel, D. and Stella, S. and Tumarkin, P. (2018) 'SL(2)-tilings do not exist in higher dimensions (mostly).', Séminaire Lotharingien de Combinatoire., 76 . B76d.
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.
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||https://www.mat.univie.ac.at/~slc/wpapers/s76stella.html|
|Date accepted:||31 March 2017|
|Date deposited:||05 April 2017|
|Date of first online publication:||12 September 2018|
|Date first made open access:||17 June 2021|
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