The above animation is produced by Omega CAS Explorer:

# Category Archives: Art Work

# A pair of non-identical twins

A complex number can be plotted in a complex plain where the coordinate is the real axis and the coordinate the imaginary.

Let’s consider the following iteration:

where are complex numbers.

If (1) are started at for various values of and plotted in* c-space*, we have the Mandelbrot set:

When is held fixed and points generated by (1) are plotted in *z-space*, the result is the Julia set:

# Having a cow !

Let’s have a cow first:

There are more:

For example:

# Chaos Esthétique

Drawing fractal by hand is tedious at best and close to impossible at worst. With the help of a CAS program, all you need is a few lines of code with a for-loop operation.

The fractal structure in Fig. 1 is generated from Gumnowski-Mira chaos model

Fig.1

Replace the term by with b = 0.9998, the result is shown in Fig. 2.

Fig.2

# The Fantastic Fire Bird

The fantastic fire bird fractal above is produced by Omega CAS Explorer: