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That second graph is so cool! I decided to make my own real quick:
import numpy, matplotlib.pyplot
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!)