Burning Ship Julia Set Viewer
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Julia sets can be defined for the Burning Ship, and any other iterated fractal, in the same way as for the Mandelbrot set. They are like snapshots of the fractal 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 Zn+1 = (|Re(Zn)| - i|Im(Zn)|)2 + 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 in the Burning Ship fractal near that point. If the point is inside the set, then the Julia set is connected.
Otherwise, it is a dust of infinitely many disconnected pieces. Zoom in on the Burning Ship fractal image if you want more
precision in positioning the point.