Julia Set Viewer
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Julia sets are like snapshots of the Mandelbrot set at a specific point.
Drag the image above to select where the point is
located (the white circle). The Julia set is drawn in real-time using the GPU, and will smoothly change as you adjust the point.
Both fractals are created by the same iterated equation Z = Z2 + C, but in Julia sets,
C is the selected point and is constant for every pixel. The pixel position
is the initial value of Z. This produces a fractal consisting only of the specific style
of swirls in the Mandelbrot set near that point. If the point is inside the Mandelbrot set, then the Julia set is connected.
Otherwise, it is a dust of infinitely many disconnected pieces. Zoom in on the Mandelbrot set image if you want more
precision in positioning the point.