This paper presents a geometric approach to the coordinatization of a measured space called the Map Maker's algorithm. The measured space is defined by a distance matrix for sites which are reordered and mapped to points in a two-dimensional Euclidean space. The algorithm is tested on distance matrices created from 2D random point sets and the resulting coordinatizations compared with the original point sets for confirmation. Tolerance levels are set to deal with the cumulative numerical errors in the processing of the algorithm. The final point sets are found to be the same apart from translations, reflections and rotations as expected. The algorithm also serves as a method for projecting higher dimensional data to 2D.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.