The Fractal Tree

Stepping deeper into my research on fractals, I’ve been captivated by the way simple rules can create complex and beautiful structures. Recently, I’ve constructed a fractal model that may seem familiar to you — the fractal tree. It mirrors the organic and intricate branching of a tree.

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The concept, while simple at its core, is awe-inspiring in its complexity. Start with a line segment, split it into two segments each two-thirds the length of the original, then fork them according to an input. Sounds straightforward, right?

The magic happens when you apply this process recursively. We see patterns emerge, resembling the beautifully complex structures found in nature — think of the sprawling branches of a tree, the network of bronchi in our lungs, or the delicate tangle of nerve endings.

To ensure the recursion doesn’t get overwhelming, I’ve placed a limit on the minimum length. It’s a balance between preserving computational resources and maintaining the beauty of the fractal model.

Intrigued by this fractal tree? I invite you to step into my shoes and experience the magic firsthand here.

After all, the allure of nature often lies in its patterns, and I’m finding joy in unraveling these patterns, one fractal at a time.

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Further reading that might interest you: 

• How To Really Understand Fractals?
• Web Development: How To Do Animated Recursion?
• Infinite Regress: How To Understand It?

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