Gallery of Mathematics

The Mandelbrot set Probably the most famous fractal in the world. Frames from an animation.	Hyperspace structures Four-dimensional structures, projected into three-dimensional space.
Quaternionic fractals The Quaternions are an extension of the complex numbers. Images of a Quaternionic Mandelbrot set and Julia sets.	Self-similar structures Self-similar structures defined by simple recursive rules. Animations of these structures with varying parameters.
Molecular dynamics Images from simulations, particularly impact of C60 (Buckminsterfullerene) with crystal surfaces.	Lyapunov pictures Pictures produced by measuring the stability of a particular dynamical system.
Iterated function systems By iterating contraction mappings on an initial object, self-similar fractal structures may be produced.	Period doubling An interactive `JAVA` applet to explore period-doubling in the logistic map.
This very link By using iteration it is possible to construct strange Self-referential Sentences.	Reaction-diffusion Modelling pattern formation in biological systems by using a nonlinear reaction-diffusion equation.
CONTRIBUTORS: Keith Beardmore, Andy Burbanks