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Problem Space of the Tower of London

Number of edges at distance N or lower


The distance is counted from the closest node of the edge

row = initial configuration; column = distance

grey: identical to lines 11..16 (same physical configurations)


  0 1 2 3 4 5 6 7 8
11 2 6 13 21 28 36 45 53 54
12 3 9 18 23 31 39 49 54 54
13 4 10 17 25 32 41 48 54 54
14 3 9 17 27 34 40 46 53 54
15 4 11 19 26 32 41 47 54 54
16 2 7 18 27 35 39 46 53 54
21 2 6 13 21 28 36 45 53 54
22 3 9 18 23 31 39 49 54 54
23 4 10 17 25 32 41 48 54 54
24 3 9 17 27 34 40 46 53 54
25 4 11 19 26 32 41 47 54 54
26 2 7 18 27 35 39 46 53 54
31 2 6 13 21 28 36 45 53 54
32 3 9 18 23 31 39 49 54 54
33 4 10 17 25 32 41 48 54 54
34 3 9 17 27 34 40 46 53 54
35 4 11 19 26 32 41 47 54 54
36 2 7 18 27 35 39 46 53 54
41 2 6 13 21 28 36 45 53 54
42 3 9 18 23 31 39 49 54 54
43 4 10 17 25 32 41 48 54 54
44 3 9 17 27 34 40 46 53 54
45 4 11 19 26 32 41 47 54 54
46 2 7 18 27 35 39 46 53 54
51 2 6 13 21 28 36 45 53 54
52 3 9 18 23 31 39 49 54 54
53 4 10 17 25 32 41 48 54 54
54 3 9 17 27 34 40 46 53 54
55 4 11 19 26 32 41 47 54 54
56 2 7 18 27 35 39 46 53 54
61 2 6 13 21 28 36 45 53 54
62 3 9 18 23 31 39 49 54 54
63 4 10 17 25 32 41 48 54 54
64 3 9 17 27 34 40 46 53 54
65 4 11 19 26 32 41 47 54 54
66 2 7 18 27 35 39 46 53 54



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.