Making Shapes with Mathematics

This paper presents an approach to procedural modeling and the interactive software tool ShapeExplorer designed to make geometric shapes and visual appearances defined by mathematical functions (explicit, implicit and parametric). It can run on Windows, MacOS and Linux. It is just one interactive window where the user can type the definitions scripts and other parameters. The purpose of ShapeExplorer is to work as a quick all-in-one multi-platform design and visualization tool providing mathematical models for virtual environments.