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Gallery of Mathematical Images

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Visit this site: http://www.lboro.ac.uk/departments/ma/gallery/

Author:Dept. of Mathematical Sciences, Loughborough University, UK
Description: The Mandelbrot Set (frames from an animation); Quaternionic Fractals (an extension of the complex numbers - Mandelbrot and Julia sets); Hyperspace (4-dimensional structures projected into 3-dimensional space); Molecular Dynamics (images from simulations, particularly the impact of C60 Buckminsterfullerene with crystal surfaces); Self-similar Structures (animations defined by simple recursive rules with varying parameters); Lyapunov Pictures (produced by measuring the stability of a particular dynamical system); Iterated Function Systems (iterating contraction mappings on an initial object to produce self-similar fractal structure); Period Doubling (an interactive JAVA applet); This Very Link (constructing strange self-referential sentences using iteration); Reaction-Diffusion (modelling pattern formation in biological systems by using a nonlinear reaction-diffusion equation). Contributed by Keith Beardmore (now at Los Alamos) and Andy Burbanks.

Levels: High School (9-12), College
Languages: English
Resource Types: Graphics, Web Interactive/Java
Math Topics: Dynamical Systems, Chaos, Fractals, Nonlinear Dynamics, Higher-Dimensional Geometry, Chemistry

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