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That second graph is so cool! I decided to make my own real quick: matrix = numpy.zeros(10000) for i in range(1, 10000): counter = 0 pos = i while pos != 1: if pos % 2 == 0: pos = pos / 2 counter = 1 else: pos = pos*3 1 counter += 1 matrix[i] = counter print(i, counter) matplotlib.pyplot.figure(figsize = (20,10)) matplotlib.pyplot.scatter(range(1, 10000), matrix[1:10000], s=1) (Gotta love Python eh!) import numpy, matplotlib.pyplot