从欧氏几何到非欧几何——建筑设计几何法则的转变

From Euclidean Geometry to Non-Euclidean Geometry--The Transformation of Geometric Rules in Architectural Design

西方文化背景下的几何学与建筑学相互渗透,密不可分,是西方建筑理论的重要组成部分。几何图形因人类感知、描绘和构成事物的形状而产生,对建筑设计思想具有深远的指导意义。纵观建筑发展历史,建筑设计中几何法则大致可分为欧氏几何与非欧几何,文章通过梳理总结建筑设计发展过程中各个历史时期的几何特征,揭示建筑设计受几何学影响发生变化的规律以及带来的全新挑战。

Geometry and architecture under the background of western culture permeate each other and are inseparable, which is an important part of western architectural theory. Geometric figures are produced by human beings to perceive, describe and form the shape of things, which plays a far-reaching guiding role in architectural design. Throughout the history of architectural development, the rules of geometry in architectural design can be roughly divided into European geometry and non-Euclidean geometry. By combing and summarizing the geometric characteristics of various historical periods in the development of architectural design, this paper reveals the law of changes in architectural design influenced by geometry and the new challenges it brings.