Mandelbulbs: the search for a 3D Mandelbrot Fractal скачать в хорошем качестве

Mandelbulbs: the search for a 3D Mandelbrot Fractal

Follow Tom on his journey to Delft in the Netherlands in his quest to find a 3D Mandelbrot Set, otherwise known as a 'Mandelbulb'. We begin with a discussion of the definition of a fractal, with examples from the natural world, as well as generating our very own in the form of the Koch Snowflake - a shape with infinite perimeter, but finite area. We then define the 2D Mandelbrot Set and introduce the concept of the Hausdorff Dimension which can take non-integer values, as exemplified by the Sierpinski Carpet Fractal. After a brief diversion via the Coastline Paradox and Space-filling Curves, we move onto 3D fractals in the form of the Menger Sponge, before finally using the White-Nylander Formula to generate our 3D renderings of the Mandelbrot Set, otherwise known as Mandelbulbs. Produced by Quark Media - Jamie Halliday and Joseph Brooks Shuttleworth https://quarkmedia.xyz/ Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall at the University of Oxford: https://www.seh.ox.ac.uk/people/tom-c... For more maths content check out Tom's website https://tomrocksmaths.com/ You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.   / tomrocksmaths     / tomrocksmaths     / tomrocksmaths   Get your Tom Rocks Maths merchandise here: https://beautifulequations.net/collec... Attribution: Paramount Pictures. ANNIHILATION. YouTube Movies. March 25, 2019.    • Annihilation   Mandelbulb renderings from https://mb3d.overwhale.com/ Credits: Geek3: https://commons.wikimedia.org/wiki/Us... Cwgreene Google Maps Desmos StudyWorld WorldAtlas Zbigniew Fiedorowicz Byron Mayfield