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Fractal Pattern in a Quantum Material Confirmed for the First Time!

Image by: Arkadiusz Jadczyk

By Dr. Inés Urdaneta / Physicist at Resonance Science Foundation

The word fractal has become increasingly popular, although the concept started more than two centuries ago in the 17th century with prominent and prolific mathematician and philosopher Gottfried Wilhelm Leibnitz. Leibnitz is believed to have addressed for the first time the notion of recursive self-similarity, and it wasn’t until 1960 that the concept was formally stabilized both theoretically and practically, through the mathematical development and computerized visualizations by Benoit Mandelbrot, who settled on the name “fractal”.

Fractals are defined mainly by three characteristics:

  1. Self-similarity: identical or very similar shapes and forms at all scales.
  2. Iteration: a recursive relationship limited only by computer capacity. With sufficiently high performance, the iterations could be infinite. This allows for very detailed shapes at every scale, that modify...
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