Two Dimensional Random Patterns

TL;DR

This paper introduces a novel method for generating two-dimensional random patterns using Delaunay triangulation and Voronoi diagrams, demonstrating improved randomness over traditional pseudo-random methods.

Contribution

The paper presents a new approach leveraging geometric structures to generate more genuinely random two-dimensional patterns and sequences.

Findings

Generated patterns show higher randomness compared to pseudo-random patterns.

Delaunay triangulation and Voronoi diagrams effectively produce diverse random patterns.

Method enhances the quality of randomness in two-dimensional pattern generation.

Abstract

A new approach to the generation of random sequences and two dimensional random patterns is proposed in this paper in which random sequences are generated by making use of either Delaunay triangulation or Voronoi diagrams drawn from random points taken in a two dimensional plane. Both the random sequences and two dimensional random patterns generated in this manner are shown to be more random when compared to pseudo-random sequences and patterns.