Chapter 6
3D Modeling
Chapter 6 provides examples and descriptions of various types of surface geometries that are often used architectural design, including planar, ruled, developable, and doubly curved surfaces. The chapter introduces methods for creating and editing solid geometry, planar and space curves, and surfaces. These geometric objects can be edited, transformed, and replicated to create 3D models, ranging from simple shapes to complex volumes. The chapter introduces beginning and intermediate level concepts related to surface topology, and tools and techniques for working with surface control points.
6.1 Solid Models
Planar and Solid Geometry
Analytic geometry describes the location of a point in space based on the three axes of the Cartesian coordinate system. Some of the most common forms and volumes that have been used throughout the history of architectural design are based on Euclidean geometry. In his textbook on geometry The Elements (c. 300 BC) the Greek mathematician...