2018/04/27 by Florian Möller, Möller, Florian · 1 citation
Computer Science · Engineering · Mathematics · #11R04 #Advanced Materials and Mechanics #FOS: Mathematics #Geometric and Algebraic Topology #Rings and Algebras (math.RA) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1804.10449
openalex publication_date 2018/04/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Starting with a flat sheet of paper, points can be constructed as the intersection of two folds. The set of constructible points clearly depends on which folds are admissible. In this paper, we study the situation where a fold is admissible if its slope is admissible and it contains an already constructed or a generator point. We give an explicit characterization of the set of constructible points. We also state several criteria for this set to be a ring. This answers questions originally raised by Erik Demaine and discussed by Butler et al. and Buhler et al.