Automatic modelling of regular polyhedrons and visualizing their formation in AutoCad through the Autolisp language

Abstract

Computer modeling of polyhedral surfaces is one of the most complex and interesting areas of architectural shaping. Computer-aided design systems, such as MathCad, Mathematika, AutoCad, etc., allow solving various problems on the formation of surfaces. The AutoCad system has significant advantages, because it has a built-in functional language AutoLisp, which has functions for mathematical calculations and for drawing different objects in 3D space. In this paper, a method of forming the surfaces of regular polyhedra in an AutoCAD environment through the use of programs in the language of Autolisp is considered.To demonstrate the method, a dodecahedron (Plato's body), a large dodecahedron and a small star dodecahedron (Kepler-Poinsot bodies) are selected.