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Problem Space of the Tower of London 

Number of direct paths as a function of distance

(the paths do not contain loops)


columns : distance between initial and final configuration


N 0 1 2 3 4 5 6 7 8
average 1.00 3.00 6.67 12.33 22.00 39.67 72.00 120.33 191.00
stdev 0.00 0.83 1.26 0.96 1.17 4.52 4.22 4.71 6.31
min 1.00 2.00 5.00 11.00 21.00 34.00 65.00 113.00 180.00
max 1.00 4.00 8.00 13.00 24.00 45.00 77.00 126.00 200.00




Figure 1. Number of direct paths as a function of distance from some initial
configuration. Thick bars: average. Thin bars: standard deviation.


Copyright: (c) 2009 E.J. Fimbel, S. Lauzon, C. Rainville. This is open-access content distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.