文章利用平面图4色着色的规则和平面图欧拉公式,把4种颜色对应于4种能量;4种颜色的整体颜色数对应社会价值数,每个顶点看作为是一个个体。以此建立了一个平面社会的数学模型;并且以平面图内任何一条边两端的顶点的颜色不发生同色的冲突,对应于平面和谐社会。围绕这些内容和要求给出实现和谐社会的规则和方法,同时也证明了这样的方法符合数学归纳法的要求,也就是一个在全平面内自洽的和谐社会。
Abstract: This paper uses the rules of 4-color coloring of the floor plan and the Euler's formula of the floor plan to correspond to the four kinds of energy; the overall color number of the four colors corresponds to the number of social values, so as to establish a mathematical model of a flat society; and how to make the 4-color coloring of the floor plan do not conflict, corresponding to how to establish a flat harmonious society. The rules and methods for achieving a harmonious society are given around these contents and requirements, and it is also proved that such methods meet the requirements of mathematical induction, that is, a harmonious society that can be self-consistent in the whole plane.
余璆
上海工程技术大学
数学
三角剖分图,最小不动构形,异同分解法,能量分配方法,平面图的折叠方法
triangulation diagram minimum immovable configuration similarity and difference decomposition method energy distribution method.
余璆.平面社会的数学模型[EB/OL].(2023-10-11)[2024-05-15].https://coaa.istic.ac.cn/preprint/3604526.点此复制
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