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Blog post: swansont: Some Old Time Fraccing

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No, not fracking. Space-filling curves, which are fractal in nature.

 

Curves… in… spaaaace! (1890)

 

uch a curve is quite unusual, and won’t quite look like anything encountered before. In fact, the complete curve is impossible to visualize, since it literally fills the square and, in the process, takes an infinite number of twists and turns along the way. However, we can get a feel for its behavior through an iterative process that generates curves of increasing complexity that approach the true space-filling curve in the limit of infinite iterations.

 


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