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{{Infobox homebrew | {{Infobox homebrew | ||
| title = Mandelbrot Fractal | | title = Mandelbrot Fractal (Fractal Junkie) | ||
| image = [[File:Mandelbrotfractds.png]] | | image = [[File:Mandelbrotfractds.png]] | ||
| type = Mathematics | | type = Mathematics | ||
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| source = | | source = | ||
}} | }} | ||
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. | 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. | 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 | |||
==Changelog== | ==Changelog== | ||
'''2.0''' | '''2.0''' | ||
*Much much further zoom, can zoom up to 2^40 now | * Much much further zoom, can zoom up to 2^40 now. | ||
*3 Colour mapping functions | * 3 Colour mapping functions. | ||
*Gradient of 6 colours | * Gradient of 6 colours. | ||
*Increase/Decrease iterations | * Increase/Decrease iterations. | ||
*Zoom out | * Zoom out. | ||
[[Category: | <br> | ||
[[Category:DS homebrew applications]] | |||
[[Category:Maths homebrews on DS]] | |||
Revision as of 14:54, 21 May 2021
| Mandelbrot Fractal (Fractal Junkie) | |
| File:Mandelbrotfractds.png | |
| General | |
|---|---|
| Author(s) | TheMagnitude |
| Type | Mathematics |
| Version | 2.0 |
| Licence | Mixed |
| Links | |
| [Media:Mandelbrotfractal20ds.zip Download] | |
| Website | |
<htmlet>adsense</htmlet>
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
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.