Mathematics

The Mandelbrot Set – on Flash

Posted on July 14, 2006. Filed under: ActionScript, Graphics, Mathematics |

I went back to drawing the Mandelbrot set. Ah… one of the most beautiful pictures ever seen, both aesthetically and philosophically. It has the whole of infinity contained within it, yet you can see the whole of it. You won’t be able to find more diversity in a single image. One of the mot famous [...]

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Laplace’s Equation

Posted on June 30, 2006. Filed under: C++, Mathematics, Source Codes |

This what I am working on currently: Solution of Laplace’s equation for a square mesh using finite difference method with Dirichlet’s boundary conditions. Quite a mouthful, but it’s not as daunting as it sounds. It’s a great introduction to numerical methods for solution of partial differential equations(PDEs).
Laplace’s Equation ∂²φ/∂²x+∂²φ/∂²y=0 finds importance in physics, appearing in [...]

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