Group-theoretic spectrum analysis of hexagonal city distributions in Southern Germany and Eastern USA

Ikeda, Kiyohiro and Murota, Kazuo and Takayama, Yuki and Kamei, Motohiro (2016): Group-theoretic spectrum analysis of hexagonal city distributions in Southern Germany and Eastern USA.

Abstract

Hexagonal distributions of cities of various sizes in Southern Germany are envisaged in central place theory. Yet scientific verification of this theory has been lacking. To scientifically support this theory, we propose a group-theoretic double Fourier spectrum analysis procedure that can detect geometrical patterns in population distributions of cities. In addition to hexagonal patterns in the theory, we propose megalopolis patterns. Using this procedure, strong power spectra for megalopolis patterns were detected for population data in Southern Germany. Moreover, a gigantic hexagonal distribution of cities in Eastern USA was found to be an assemblage of megalopolis and hexagonal patterns. The amazing geometrical regularity of this distribution manifests the existence of these patterns in the real world, thereby underpinning central place theory.

• Item Type: MPRA Paper
• Language: English
• Keywords: central place theory,group-theoretic bifurction theory, hexagonal patterns
• Subjects: R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R0 - General > R00 - General

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