A dynamic geometry system approach to analyse distance geometry problems based on partial Latin squares

Abstract

ABSTRACTPartial Latin squares constitute an interesting approach to improve the teaching of different subjects in the mathematics classroom. This paper delves into this topic by introducing the use of a Dynamic Geometry System to deal with these combinatorial structures as a source of loci of points in the Euclidean plane. It is assumed to this end that the distance matrix among all these points contains a zero-diagonal symmetric partial Latin square with at least one non-zero filled cell per row.