Stage: 4 Challenge Level: 
The underlying structure of this problem is very similar to
Walkabout. The teachers' notes to Walkabout suggest a possible
approach which would work here too.
Patterned numbers. Dynamical systems. Networks/Graph Theory. Algorithms. Fibonacci sequence. epsilons. Mathematical induction. Combinatorics. Mathematical reasoning & proof. Codes and cryptography.
Published October 2003.
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