A sample image where the magnification exceeded the accuracy of the floating point calculations, and floating point errors caused the plot to be distorted.

This is a julia set plot with a starting point of -0.7410794759994537, 0.1578721598171965i. The plot is centered on 0,0, with a width (real) of about 0.00000025 (2.5e-7). I'm not sure why Julia set plots start having floating point errors at much lower magnification than Mandelbrot plots.