Polina Vytnova has been previously supported by EPSRC. At the beginning of my third year at university studying mathematics, I spotted an announcement. A visiting professor from Canada would be giving ...

Abstract: The general quaternion Mandelbrot sets (abbreviated as M sets) with the additive and multiplicative dynamic noise perturbations are constructed. The topology structures and the fission ...

In this paper, we generalize the Mandelbrot set using quaternions and spherical coordinates. In particular, we use pure quaternions to define a spherical product. This product, which is inspired by the ...

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When it comes to the study of both human nature and the natural world, one must be willing to reckon with the fact that a certain degree of chaos will be present in whatever facets of this planet they ...

Benoit Mandelbrot, the Polish-born, French and American mathematician, known as the "father of fractal geometry," is celebrated in today's Google Doodle, on what would have been his 96th birthday.

Nov. 20 (UPI) --Google is celebrating mathematician Benoit Mandelbrot with a new Doodle on Friday, on what would have been his 96th birthday. Mandelbrot is known as the father of fractal geometry. His ...