mathematics & architecture

GALLERY OF MATHEMATICS (Images)

http://www.lut.ac.uk/departments/ma/gallery/index.html

The Mandelbrot Set
Probably the most famous fractal in the world. Frames from an animation.


Hyperspace *******************************************************
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.
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