2022/08/04 by Mihail N. Kolountzakis, Kolountzakis, Mihail N.
Arts and Humanities · Computer Science · Materials Science · Mathematics · #20K99 #52C22 #Art, Technology, and Culture #Cellular Automata and Applications #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Quasicrystal Structures and Properties #math.CA #math.CO #msc:20K99 #msc:52C22
paper · pdf · doi:10.48550/arxiv.2208.02603
arXiv admin note: substantial text overlap with arXiv:2106.11701
arxiv created 2022/08/04 · openalex publication_date 2022/08/04 · arxiv updated 2022/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We discuss problems of simultaneous tiling. This means that we have an object (set, function) which tiles space with two or more different sets of translations. The most famous problem of this type is the Steinhaus problem which asks for a set simultaneously tiling the plane with all rotates of the integer lattice as translation sets.