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An Image from the Collatz Problem - The intensity of a point denotes the time taken to terminate.
 
Aspects of the Collatz Problem - Université Louis Pasteur, Strasbourg (France) 6--8 June 2001.
 
Collatz 3n+1 Problem Structure - Observations posted by Ken Conrow to stimulate further research.
 
Experiments with the 3n+1 Sequence - An online calculator by Alfred Wassermann.
 
On The 3x + 1 Problem - These pages supply numerical data and propose some conjectures on this innocent looking problem. All numbers up to 29,300 * 10^12 ( ~ 26 * 2^50 ) have been checked for convergence.
 
The 3x + 1 Problem and its Generalizations - A survey article by Jeff Lagarias.
 
The 3x+1 Problem Annotated Bibliography - By Jeffrey Lagarias, 1997.
 
The 3x+1 Problem Conference Proceedings - Katholische Universität Eichstätt, Germany; 5--6 August 1999. On-line proceedings and group photo.
 
The 3x+1 Problem Search Results - Maximum number tested (N): 91·2^50 = 102456891522678784.
 
The Collatz Problem - Hundreds of links collected at geometry.net.
 
The Generalised 3x+1 Problem - A survey by Keith Matthews.
 
The Structure of the 3x + 1 Function - A paper by Peter Schorer describing a new approach to the 3x + 1 Problem and indicating a possible solution.
 
The Superset Algorithm - The "limited halting problem": finding machines that solve the halting problem for limited classes of inputs without reporting erroneous results. The Collatz problem is a special case. Software, papers and graphics.
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