2017 Volume 73 Issue 3 Pages 148-164
In economic geography, central place theory1) envisaged the emergence of hexagonal distribution of cities from uniformity. However, rigorous verification of the existence of hexagonal patterns is missing over years. To support this theory, Ikeda et al.2) introduced a group-theoretic Fourier spectrum analysis in a regular-triangular lattice and detected hexagonal patterns of cities in Southern Germany and Eastern USA. However, the existence of geometrical patterns other than hexagons remains unknown. This paper, considering square patterns, introduced a square lattice version of a group-theoretic Fourier spectrum analysis. Using this analysis in Southern Germany, we indicated a possibility of the square lattice as candidate of a spatial platform in a population distribution analysis.
