Geometry Studies


I summarized everything I have learnt through this journey Don't We Just Like to Repeat? which discussed the design basics and shared some Adobe Illustrator techniques.

Here's a selections of illustrations created along the way:

  • MadPattern Cheat Sheet: How Transformations of A Cell Create Patterns

  • Approaching the Circle: Symmetry & rotation of isogons

  • Kolam Pattern with Adobe Illustrator Scripts

  • Inspired by Fugue


MadPattern Cheat Sheet:

How Transformations of  A Cell Create Patterns

Here's a quick tutorial about the 17 Wallpaper Groups, and how to use it to create a tile pattern.


Approaching the Circle: Symmetry & Rotation

Plato thought circle was the most perfect geometric shape. In an isogon (an equiangular polygon), the more sides we introduce to the shape, the more it approaches to a circle.

I applied a set of transformation rules to the triangle set, square set, pentagon set and hexagon set. The first two illustrations created an optical illusion of fluidity and movement. But as the number of sides grew to 5 and 6, the isogons gained more and more folds of rotational symmetry, while losing the angularity. The pattern composed of the pentagons or the hexagons is perceived as a less intriguing mass.

A circle is too perfect that it became boring. It's good to have some edge.

I made an interactive version of this work:

Kolam Pattern with Adobe Illustrator Scripts

Kolam is a traditional floor drawing from South India. I studied their method of freehand drawing, then applied the same process with the help of Adobe Illustrator Scripts. If you haven't heard of the god-sent scripts, here's an introductory tutorial I wrote explaining the process of creating this patter.

Inspired by Fugue