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Gavin Harper is a mathematician working right at the heart of genetics

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March 2010
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Images based on Lyapunov Exponent fractals are very striking. Andy Burbanks explains what Lyapunov Exponents are, what the much misunderstood phenomenon of chaos really is, and how you can iterate functions to produce marvellous images of chaos from simple mathematics.

Tags: mathematics and art : fractal : chaos : dynamical system : logistic map : iteration : error : Lyapunov Exponent : orbit : bifurcation


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Johannes Kepler (1571-1630) is now chiefly remembered as a mathematical astronomer who discovered three laws that describe the motion of the planets. J.V. Field continues our series on the origins of proof with an examination of Kepler's astronomy.

Tags: history of mathematics : gravity : proof : ellipse : astronomy : geometry : Kepler's three laws of planetary motion : error