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Fractals
Natures pattern... |
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 | About Fractals |  |
Fractals are great! They're mesmerizing and have a vast assortment of applications - from graphical and audio patterns to encryption and machine learning.
• Fractals in graphics (e.g,. patterns and shapes)
• Fractals vs chaos and and randomness
• Examples of fractal algorithms
Fractals are intricate mathematical patterns characterized by self-similarity at different scales, where each part resembles the whole. These complex and often visually stunning structures are generated through iterative processes, where a simple geometric shape undergoes repeated iterations with slight modifications.
The result is a fascinating, infinitely detailed form that exhibits similar patterns whether observed up close or from a distance.
Fractals can be found in various natural phenomena, such as coastlines, clouds, and ferns, as well as in man-made creations like digital art and computer-generated graphics. They bridge the realms of mathematics and aesthetics, captivating our imagination with their mesmerizing complexity and beauty.
| Fractal Demos | |
A range of fractal explanations and demos in various languages (raw C++ to Javascript).
• Mandelbrot and MandelBulb LINK
• Raytraced MandelBulb LINK
• Fractal Sweeping (Javascript/HTML Canvas) LINK
• Fractal Tree (D3 JavaScript) LINK
• 2D Fractal Circle (JS) LINK
• 2D Fractal Tree (JS) LINK
• WebGPU Fractal Spinning (2D) LINK
• WebGPU Fractal Cube (3D) LINK
• WebGPU Newton Fractal LINK
• Dual-Quaternion Fractal LINK
• ...
| Fractal Articles and Algorithms | |
• The Whats and Whys of Fractals
• Fractals Explained
• Fractal Algorithms in 2D (2D Fractals)
• Fractal Algorithms in 3D (3D Fractals)
• Sound, Audio and Music Fractals (Not Just Seeing But Listening to Fractals)
• Interpolating and Extrapolating Fractals
• Fractal Signal Analysis and Generation
• Smiley Face Fractal
• Fractal Words and Sentences
• Fractal Patterns (Images)
• Signed Distance Functions and Fractals
• Fractal Brownian Motion Noise (Interactive Visualization)
| 101 Fractal Projects Book | |
Some fractal projects to get your teeth into - to take your fractals to the next level! Or if you're new to programming - what better way to tune your programming skills than through fractal projects - they're fun, challenging and have lots of real-world applications.
Nature has succeeded over millions of years - it's secret is partially due to fractals. Learn to solve problems using fractals!
| Fractal Resources/Books | |
Fractals have been around forever! There are a thousands of websites and books on the topic - however, a few juicy ones that you might find interesting.
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