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comment by mike
mike  ·  262 days ago  ·  link  ·    ·  parent  ·  post: Collatz conjecture

I've "wasted" happy hours with this.

Wrote a post about it when I was writing a blog for the Norwegian national math education center:

http://www.matematikksenteret.no/content/2159/Collatz-formodning-The-Collatz-Conjecture

I'm re-inspired by those pics! Gonna fire up Processing now and play... maybe find a new way to visualize, maybe just find a new way to lose a few hours...

veen  ·  262 days ago  ·  link  ·

Is there a graph version with the number on one axis and the number of steps until 1 on the other axis? Or would that look just unintelligible?

veen  ·  262 days ago  ·  link  ·

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!)