The Picture Gallery.

Where Mathematics and Art chaotically combine.

These are just some of the pictures that I generated in the distant past (circa. 1996) on both an Intel™ 386DX20 with a Cyrix™ 387 co-processor and an Intel™ Pentium® 90 processor. (Which is around 30 times faster for this kind of work!)

More recent images can be found at The Aleph One Image Gallery, where you can also find Aleph One, the program that made them.

I did a couple of .FLI (Autodesk) animations of orbits around the 4-d Mandelbrot set. These are quite large (around 500Mb compressed) so please e-mail me if you are interested in them. I managed to mangle two into just about a reasonable file size: Blues and Wierd .

This is a picture of the set produced by the convergence of the Bessel function J_o on the quaternions.

A strange combination of the 4-d Bessel function J_o and the 4-d Mandelbrot Set. A strange conjunction of the Bessel function Jo and the 4- Mandelbrot Set.

A strange conjunction of the Bessel function Jo and the 4- Mandelbrot Set.

The first ever 4-d render I did. It is of the 4-d Mandelbrot set on the quaternion number system.

A high quality render of the 4-d Mandelbrot set on the quaternion number system. High quality 4-d Mandelbrot set.

This is another zoom in to the 4-d Mandelbrot set (from the bottom middle bit of the picture above).

A view from inside the 4-d Mandelbrot set looking "Down the Throat" - looking from inside the lake, postioned in the wider part towards the origin. (This took 6 solid days to calculate on my Elonex P90, since upgraded!) Down the Throat.

A maths library of functions to create these pictures. Go back to the list of pages.