A Computerized Method to Generate Complex Symmetric and Geometric Tiling Patterns

摘要

This article contributes to a novel computerized and heuristic algorithm to make pretty geometries used in traditional building patterns and tiling. Starting with some basic sketch or an ornamental pattern, it depicts how a designer may analyze the sketch structure and approaches to an analytical representation. In return, this analytical representation could be used to produce complicated pictures and schemes. The presented algorithm is capable of producing various complicated symmetric patterns as well as ancient Islamic geometric patterns that are called Star and Bracelet. Utilizing and expanding such patterns, the algorithm would be able to generate wide variety of divergent sketches for both monochrome and coloured patterns. The algorithm has been successfully performed and tested on the implemented software-GeoPat. Finally, the method has been applied on different types of sample patterns and the interesting results have nicely been depicted.