Plotting the logistic diagram is extremely computationally intensive, and I don't think I've ever seen it done right. The r axis should be supersampled at much greater than pixel resolution. The x axis has a bin for each pixel, counting hits.
Not sure how to convert hit count to gray scale. Perhaps divide into 256 quantiles. However it seems weird as quantile boundaries could be radically different from pixel to pixel on the r axis.
Don't forget to skip initial transients, though that may take a very long time. There's some theory.
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