# Jean Constant - Julia set

The Julia set, named after the French mathematician Gaston Julia, consists of values such that an arbitrarily small perturbation can cause drastic changes in the sequence of iterated function values. The image is created by mapping each pixel to a rectangular region of the complex plane. A significant property of the Julia sets is the so called “self-similarity” property, which can easily be adjusted to designs of a more artistic nature when dealing with symmetry and mirroring in a representational 2D environment.

A 36 plate variation on the Julia set is available at hermay.org

Fragments of a Julia set created in 3D-XplorMath were assembled and manipulated in a raster graphic program to create an original visualization using design techniques of mirroring and symmetry.

## Julia set #2

Variation on the self similarity property of the Julia set.

The outlines were created in 3D-XplorMath and manipulated in a raster graphic program and imported into G. Bousquet SeamlessMaker to add Droste and mirroring effects.