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中心地理论中引力分形的分形维数复杂性。

Fractal dimension complexity of gravitation fractals in central place theory.

机构信息

Faculty of Physics, Adam Mickiewicz University, Poznań, Poland.

Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland.

出版信息

Sci Rep. 2023 Feb 9;13(1):2343. doi: 10.1038/s41598-023-28534-y.

DOI:10.1038/s41598-023-28534-y
PMID:36759669
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9911407/
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.

摘要

各种类型的定居点中心,包括城市,产生吸引盆地,其形状可以是规则的,也可以是复杂不规则的(从几何角度来看)。这种复杂性部分取决于定居点周围空间的属性。本文通过引入一种动态的空间方法,并包括运动方程和空间阻力,展示了在典型的静态 CPT(中心地理论)图像中发生的显著变化。由于引力的相互作用,在城市周围产生了吸引盆地,其边界似乎是分形的。本研究提供了丰富的空间分形复杂图像,可能会改变传统的 CPT 理解。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/f3d991937e6c/41598_2023_28534_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/35a83dd31e36/41598_2023_28534_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/c053a431a01b/41598_2023_28534_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/0f1fdf1dfb75/41598_2023_28534_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/a5ba2a687033/41598_2023_28534_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/e44f75215454/41598_2023_28534_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/b982b5d74be2/41598_2023_28534_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/05cce33da4b9/41598_2023_28534_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/f3d991937e6c/41598_2023_28534_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/35a83dd31e36/41598_2023_28534_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/c053a431a01b/41598_2023_28534_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/0f1fdf1dfb75/41598_2023_28534_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/a5ba2a687033/41598_2023_28534_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/e44f75215454/41598_2023_28534_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/b982b5d74be2/41598_2023_28534_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/05cce33da4b9/41598_2023_28534_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3b88/9911407/f3d991937e6c/41598_2023_28534_Fig8_HTML.jpg

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