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.
Abstract
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.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (117Kb) |
| Status: | Peer-reviewed |
| 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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