Keywords: Collatz-graph-all-30-no27.svg validSVG يمكن اعتبار المشكلة التي يثيرها هي مشكلة رياضية غير محلولة بعد وقد سميت باسم Lothar Collatz الذي اكتشفها عام 1937 م 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' Collatz conjecture |