Fractals

Buddhabrot

The Buddhabrot is the probability distribution over the trajectories of points that escape the Mandelbrot fractal. Its name reflects its pareidolic resemblance to classical depictions of Gautama Buddha, seated in a meditation pose with a forehead mark (tikka), a traditional topknot (ushnisha) and ringlet hair. (Wikipedia).

Buddhabrot
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The dark side of the Mandelbrot set

Join the Mathologer and his guest Darth Vader as they explore the Dark Side of the Mandelbrot set. Featuring an introduction to how the Mandelbrot set and the halo surrounding it is conjured up, an ingenious way to visualise what's really going on inside the Mandelbrot set, as well as an a

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Applying the Mandelbrot mapping to the points outside the set

Source code: https://github.com/timhutton/mandelstir The Mandelbrot z^2+c mapping is applied to every point outside the Mandelbrot set, with linear interpolation between iterations to show how the points move. Eventually all of these points disappear as they move off to infinity. The backg

From playlist mandelstir

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The Mandelbrot set is a churning machine

Its job is to fling off the red pixels and hang onto the green ones. Audio by @Dorfmandesign

From playlist mandelstir

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Stirring the Mandelbrot Set

http://code.google.com/p/mandelstir/

From playlist mandelstir

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Stirring the Mandelbrot Set: a checkerboard

http://code.google.com/p/mandelstir/

From playlist mandelstir

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EASTERN PHILOSOPHY - The Buddha

The Buddha's philosophy teaches us that our desires are at the root of our restlessness - and that calm can be achieved through willpower and spiritual exercise. If you like our films, take a look at our full shop too: https://goo.gl/aGTlez FURTHER READING “The story of the Buddha’s l

From playlist GREAT IDEAS

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Stirring the Mandelbrot - HD version

http://code.google.com/p/mandelstir/

From playlist mandelstir

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mandelbrot fractal animation 5

another mandelbrot/julia fractal animation/morph.

From playlist Fractal

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Animated Mandelbrot transform - linear interpolation

http://code.google.com/p/mandelstir/

From playlist mandelstir

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mandelbrot fractal animation 2

just me having my usual fun.

From playlist Fractal

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The PROOF: e and pi are transcendental

Today’s video is dedicated to introducing you to two of the holy grails of mathematics, proofs that e and pi are transcendental numbers. For the longest time I was convinced that these proofs were simply out of reach of a self-contained episode of Mathologer, and I even said so in a video

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Related pages

Complex plane | Fractint | Logistic map | Dimension | Iteration | Set (mathematics) | Sequence | Infinity | Mandelbrot set