Thursday, November 12th, 2009
How to Identify Fractals
Description
A detailed tutorial on fractals. Step by step tutorial including several examples and a helpful visual example of fractals for reference.
Overview
A fractal is a geometric shape that can easily be split into parts. Each part is really just a small version of the whole. Fractals are often very rough or fractured looking shapes, which is how they got their name. The common features of a fractal is that it has a fine structure at small scales, it is an irregular shape, it is self-similar, and it has a recursive definition as well as a simple one. One of the most famous and well-known fractals is the Mandelbrot set.
Tags: fine, fractal, fractured, Geometry, irregular, Mandelbrot, parts, resursive, rough, scale, self, self-similar, shape, similar, simple, small, structure, version
Posted in Geometry | No Comments »
Thursday, October 8th, 2009
Definition of a Mandelbrot Set
Description
A detailed tutorial on Mandelbrot sets and identifying Mandelbrot sets. Step by step tutorial including a several visual examples of a Mandelbrot set for reference.
Overview
A Mandelbrot set is defined as a set of points in the complex frame, the boundary of which forms a fractal. This can be mathematically defined as the set of complex values c for which the orbit of zero under iteration of a complex quadratic polynomial remains bounded.
Tags: boundary, complex, differential equations, fractal, iteration, Mandelbrot, Math, point, polynomial, quadratic, set, value
Posted in Differential Equations | No Comments »
