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Fractal dimension complexity of gravitation fractals in central place theory.


ABSTRACT: Settlement centers of various types, including cities, produce basins of attraction whose shape can be regular or complexly irregular (from the point of view of geometry). This complexity depends in part on properties of the space surrounding a settlement. This paper demonstrates that by introducing a dynamic approach to space and by including an equation of motion and space resistance, a dramatic change in the stylized static CPT (Central Place Theory) image occurs. As a result of the interplay of gravitational forces, basins of attraction arise around cities, whose boundaries appear to be fractals. This study provides a wealth of spatial fractal complex images which may change the traditional understanding of CPT.

SUBMITTER: Banaszak M 

PROVIDER: S-EPMC9911407 | biostudies-literature | 2023 Feb

REPOSITORIES: biostudies-literature

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Fractal dimension complexity of gravitation fractals in central place theory.

Banaszak Michał M   Górnisiewicz Krzysztof K   Nijkamp Peter P   Ratajczak Waldemar W  

Scientific reports 20230209 1


Settlement centers of various types, including cities, produce basins of attraction whose shape can be regular or complexly irregular (from the point of view of geometry). This complexity depends in part on properties of the space surrounding a settlement. This paper demonstrates that by introducing a dynamic approach to space and by including an equation of motion and space resistance, a dramatic change in the stylized static CPT (Central Place Theory) image occurs. As a result of the interplay  ...[more]

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