File:Collatz-graph-all-30-no27.svg

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[edit] Summary

Directed graph showing the orbits of the numbers less than 30 (with the exception of 27 because it would make it too tall) under the Collatz map.

For a larger graph containing only odd numbers, see Image:Collatz-graph-300.svg.

Created with Graphviz, with the help of this Python program:

dotfile = file('collatz-graph.dot', 'w')

limit = 30

def f(n):
  if n % 2 == 0:
    return n / 2
  else:
    return 3*n + 1

explored = set([1,27]) # 27 has a long convergence, so skip it

dotfile.write('digraph {\n')

for n in range(2, limit):
  while n not in explored:
    dotfile.write(str(n) + ' -> ')
    explored.add(n)
    n = f(n)
  dotfile.write(str(n) + ';\n')

dotfile.write('}\n')

[edit] Licensing

This work has been released into the public domain by its author, I, Keenan Pepper. This applies worldwide. In some countries this may not be legally possible; if so: I, Keenan Pepper grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. Public domainPublic domainfalsefalse

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	22:55, 10 June 2007		258 × 2,125 (20 KB)	Keenan Pepper	Directed graph showing the orbits of the numbers less than 30 (with the exception of 27 because it would make it too tall) under the Collatz map. For a larger graph containing only odd numbers, see [[:Image:Collatz-graph-300.sv

• Collatz conjecture

The following other wikis use this file:

• Usage on ar.wikipedia.org
  • حدسية كولاتز
• Usage on de.wikipedia.org
  • Collatz-Problem
• Usage on ja.wikipedia.org
  • コラッツの問題
• Usage on ko.wikipedia.org
  • 콜라츠 추측
• Usage on sl.wikipedia.org
  • Collatzova domneva