Colouring-in

Updated Oct 2006:

Added support for "relaxing" the patterns. This tries to adjust the patterns so that the edges are roughly all the same length. It can also be used to create some interesting animations.

Introduction

This section of the web-site if for those who enjoy colouring in patterns. It started out initially from the discovery that you can create some quite interesting patterns by staring out with a basic geometric shape and applying some simple transformations. There are currently three transformations, "Edge Replacement", "Dualing" and "Relaxation", which are described in the following sections.

This section of the site also includes some patterns you can download and colour in yourself, some coloured in examples, some animations built using the relaxation algorithm and the Python Script to generate additional patters should you wish.

Please click on one of the following links.

Example

This pattern is constucted from a heptagon with spokes. This is the "Relaxed" version, you can see the unrelaxed form on the examples page.