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A Book Unveiling the Mathematical Principles Behind Architecture, Both Ancient and Modern, from Around the World 一本讲述古今中外建筑背后数学原理 Since humanity emerged from caves and embarked on the path toward civilization, architecture has served as a vital marker of our independent efforts to improve living environments. From that point on, mathematics and architecture became inseparable. The relationship between architecture and mathematics primarily encompasses two interconnected aspects: appearance and structure. Appearance is not merely about aesthetics; it also relates to structural integrity and material efficiency. Meanwhile, structure relies more heavily on mathematical calculations. Today, with the aid of computers, architects have broken free from the constraints of traditional forms, transforming buildings into three-dimensional canvases for artistic creation. Of course, architecture remains deeply intertwined with culture, environment, and history-a richly synthetic theme. In this book, however, our focus lies specifically on its relationship with mathematics. The contents of this book include: animal architecture, optimization of architectural functions, the golden ratio, a simplified analysis of architectural mechanics, modern architecture and parametric design, artificial intelligence in architecture, and master architects. In essence, this book reveals that the role of mathematics in architecture extends beyond pure science-it also embodies beauty in symmetry and structure. 自从人类从山洞里走出，开始走向文明，建筑就是一个自主改善生活环境的重要标志。从那时起数学就和建筑分不开了。建筑和数学的关系主要有两部分，一部分是外观，一部分是结构。这两部分又紧密联系。外观不仅是为了好看，也为了结构的牢固以及建材的节省。而结构更多地要用到数学计算，在今天人们有了计算机，就突破了传统外观的束缚，使建筑成为艺术家们三维创作的舞台。当然建筑永远和文化、环境、历史分不开。这个主题一直是个大综合的问题，当然在本书中，我们主要关注其和数学的关系。本书的内容包括：动物建筑、建筑功能优化、黄金比例、建筑的力学简析、现代建筑和参数化设计、建筑中的人工智能和建筑大师。总之，从这本书我们可以发现数学在建筑中的作用不仅仅是科学，还有对称、结构上的美。

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