Fractal -- from Wolfram MathWorld
A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the same "type" of structures must appear on all scales. A plot of the quantity on a log-log graph versus scale then gives a straight line, whose slope is said to be the fractal dimension. The prototypical example for a fractal is the length of a coastline measured with different length rulers. The
![](https://wiegreffe.info/user/pages/01.home/06.fractals-from-complex-roots-of-polynomials/cropped40.png)
Fractals from complex roots of polynomials
I Love Fractals
![](https://mathworld.wolfram.com/images/eps-gif/PythagorasTree_825.gif)
Deformation of the Pythagorean Tree Fractal
![](http://www.bugman123.com/Fractals/DoubleCusp-inverse.jpg)
Fractals
Curlicue Fractals - JMP User Community
![](https://www.wolframcloud.com/obj/resourcesystem/images/bcc/bccb40d5-ba66-4d6b-b969-ce8ad030bf5b/66794e7b088a948f.png)
LSystem Wolfram Function Repository
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The Texture of Reality: Patterns and Symphonies - Article (Preprint v1) by Deep Bhattacharjee et al.
Fractals and Mathematical Art by Alan Richmond
![](https://lostinrecursion.files.wordpress.com/2012/04/triangle-fractal.jpeg)
Exponent Fractals in Mathematica
![](https://i.pinimg.com/564x/af/b8/3c/afb83c522633ec042ab559f140d5a039.jpg)
ChaosGameHalf Chaos game, Chaos theory, Chaos
![](https://is1-ssl.mzstatic.com/image/thumb/Purple117/v4/ea/2e/9f/ea2e9fa3-35cf-e35a-9440-eb6c4bd3cd44/mzl.romtlhyj.png/643x0w.jpg)
Wolfram Fractals Reference App on the App Store
![](http://blog.kleinproject.org/wp-content/uploads/2011/11/Dimension_Figure_2.png)
Dimension Klein Project Blog
![](https://mathworld.wolfram.com/images/eps-svg/MiraFractal_1000.png)
Mira Fractal -- from Wolfram MathWorld
![](https://content.wolfram.com/sites/43/2023/11/Tiling-hero-final2.png)
Stephen Wolfram Writings
![](https://mathworld.wolfram.com/images/eps-svg/CarotidKundaliniFractal_901.png)
Carotid-Kundalini Fractal -- from Wolfram MathWorld