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Julia Set

Simulating Julia Set along boundry of main cardioid of the Mandelbrot Set.

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Deep Mandelbrot Zoom

Zoomed to mandelbrot island.

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Mandelbrot Zoom

Self similarity of the mandelbrot set is shown here by zooming to a blob adjacent to main cardioid of the mandelbrot.

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Mandelbrot Set

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About Mandelbrot Set

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Cardioid Curve is also here.

Carodioid Curve

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Trace of the foot of perpendicular from a point on circumference to tangents of a circle gives rise to a cardioid curve.

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Trace of a point on the circumference of a disk rolling over another disk gives rise to a cardioid curve.

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Light bouncing of circular boundry form a cardiod curve.

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Earth-Venus Symmetry

8 Earth years are roughly 13 venus years, they together trace out this 5-fold symmetrical pattern around sun in 8 Earth years.

Lots of cardioid curve are here.

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Golden Rotation

It seems new circles are emerging from center but whole spiral is just rotating by golden angle in each frames.

Sierpiński triangle1.mov

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Sierpiński Triangle

It's a very famous fractal.

Simulated through chaos game.

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Euler Spiral

Start with a line then continue it for the same length with deflection by an angle ϴ then continue further with same length and a small increment ⍺ in previous deflection. If we follow this for a large number of iterations then we will end up with Euler-Spirals.

Various increments(integers, primes, irrartionals...) gives interesting results.

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