离散几何在建筑计算性设计中的应用：一个框架性描述
A Synoptic Description on the Application of Discrete Geometry System in Architectural Computational Design
摘要
离散几何是研究各类几何对象，如点、直线、圆、多边形、多面体的组合性质和排布规律的几何学门类，包含镶嵌、关联、离散微分和拓扑组合等多种分支。离散几何在建 筑设计尤其是计算性设计方面有重要的应用价值。本文初步梳理离散几何的相关概念，探讨应用范畴和应用潜力，尝试构建一般性的认知和应用体系，以充实当代建筑几何 学的理论内涵。
关键词
离散几何；计算性设计；应用体系；建筑几何学
Abstract
Discrete geometry studies the combination properties andarrangement rules of various geometric objects, such as point, line, polygon, circle, and polyhedron. Its research scope includes tessellation, incidence, discrete differentiation, topological combination and so on. Discrete geometry has significant application value in architectural design, especially architectural computational design. In this paper, the relevant concepts of discrete geometry are preliminarily sorted out, the categoryand potential of its applications are discussed,and the general cognition and application system is constructed to enrich the theoretical connotation of contemporary architectural geometry.
Keywords
Discrete geometry; Computational design; Application system; Architectural geometry
