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|
First Live Deposit - 05 April 2017
Download PDF (117Kb)
|Publisher Web site:||https://www.mat.univie.ac.at/~slc/wpapers/s76stella.html|
|Record Created:||05 Apr 2017 15:28|
|Last Modified:||18 Dec 2018 13:53|
|Social bookmarking:||Export: EndNote, Zotero | BibTex|
|Look up in GoogleScholar | Find in a UK Library|