应用与计算数学杂志

Pattern Mathematical for Parametric Design

Abstract

Claudio Procesi

Parametric design is a computational design approach that uses a set of parameters to generate and manipulate geometric forms and structures. Mathematical patterns are essential in parametric design as they provide a framework for generating complex and intricate designs using simple rules and equations. In this article, we will explore some of the key mathematical patterns that can be used in parametric design. Fractals are geometric patterns that exhibit self-similarity at different scales. Fractals are generated by repeating a set of rules or equations iteratively. Fractals are used in parametric design to create complex and intricate designs that have a natural and organic feel. One of the most famous fractals is the Mandelbrot set, which is generated by iterating the equation z=z^2 + c, where z and c are complex numbers. Voronoi diagrams are a mathematical pattern that divides a plane into regions based on the distance to a set of points. Voronoi diagrams are used in parametric design to create complex and irregular shapes that have a natural and organic feel. Voronoi diagrams are widely used in architecture, industrial design, and product design to create unique and aesthetically pleasing designs.