#fractals

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#coastlines #geographic-data #fractal-dimension #earth-science #barnsley-fern #iterated-function-system
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fromwww.scientificamerican.com
6 days ago

Scientists catalog the fractal dimensions' of more than 130,000 islands

Coastlines show fractal behavior that varies by geometric feature, with coastline fractal dimension lower than other island measures.
fromSlicker
7 months ago

JavaScript Tutorial on the Fern Fractal (Barnsley Fern)

There's a quiet magic in the Barnsley fern-a simple set of rules that blossoms into a living, leafy pattern. The Barnsley fern is generated using an Iterated Function System (IFS): you repeatedly apply one of several affine transformations to a point, chosen at random with specific probabilities. Over many iterations, the points settle into the shape of a fern.
fromenglish.elpais.com
10 months ago

A 17-year-old teen refutes a mathematical conjecture proposed 40 years ago

Hannah Cairo solved the Mizohata-Takeuchi conjecture, a significant problem in harmonic analysis, using fractals and careful construction of a counterexample.
Science
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