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Mandelbrot Fractal

From GameBrew - a wiki dedicated to Video Game Homebrew.

Mandelbrot Fractal (Fractal Junkie)
Mandelbrotfractds.png
General
Author(s)TheMagnitude
TypeMathematics
Version2.0
LicenceMixed
Links
Download
Website
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The Mandelbrot set is a set of points in the complex plane, the boundary of which forms a fractal.

When computed and graphed on the complex plane, the Mandelbrot Set is seen to have an elaborate boundary, which does not simplify at any given magnification. This qualifies the boundary as a fractal.

The Mandelbrot set has become popular outside mathematics both for its aesthetic appeal and for being a complicated structure arising from a simple definition. Benoît Mandelbrot and others worked hard to communicate this area of mathematics to the public.

Features

  • 64bit accuracy.
  • Mandelbrot set.
  • Custom Julia sets (this includes Fatou Dust).
  • 7 Colour Palletes (Cycle without redrawing).
  • 3 Colour Styles (Cycle without redrawing).
  • Successive Refinement Rendering.
  • Only calculates unknown pixels when moving.
  • Draw with the stylus a new view from any two points on the screen to zoom to that view.

Controls

D-Pad - Move 32px

Stylus - Draw a new view

R/L - +/- Iterations

A - Colour Styles

B - Colour Pallets

X - Toggle precise rendering

Y - Toggle Julia set mode

Start - Start over

Select - Goto previous image

Screenshots

mandelbrotfractal2.png

Changelog

2.0

  • Much much further zoom, can zoom up to 2^40 now.
  • 3 Colour mapping functions.
  • Gradient of 6 colours.
  • Increase/Decrease iterations.
  • Zoom out.

External links

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