Mandelbrot curves - a journey through the Julia landscape

In this video the screen is split into a left part and a right part. In each part you can see a Mandelbrot set at the top. on this Mandelbrot there are crosshairs moving along a particular curve. In the bottom portion of the part you can see the Julia set with the parameter c according to the current coordinates of the crosshairs. So for each frame you will see a different Julia set (until it loops).

Parametrisation:

left curve:
s(t) = 0.65*e^(i*t) - 0.1
This curve is the circle, which contains the touching points of the main cardioid with the upmost, downmost and leftmost bulb.

right curve:
s(t) = 1/2*e^(i*t) - 1/4*e^(i*2*t)
This curve is the boundary of the main cardioid.

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