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Nachtmahr. Game with seven different kinds of Nightriders. (8x8, Cells: 64) [All Comments] [Add Comment or Rating]
Carlos Cetina wrote on 2014-09-19 UTCExcellent ★★★★★
Thank you, Jörg. I did not know the Jelliss' writing "Theory of Journeys". I will study it carefully.

We can get a first approach to the relative strength of these nightriders by placing them on the central square (g7) of a 13x13 board and counting the number of squares affected/checked from there.

Doing it, we would find these results:

NN11 Diagonal Wide Crooked Nightrider 56
NN02 Straight Wide Crooked Nightrider 36
NN31 Quintessence 36
NN00 Rose 32
NN33 Diagonal Narrow Crooked Nightrider 24
NN21 Standard Nightrider 24
NN04 Straight Narrow Crooked Nightrider 20

Hence, the following equivalences should be near to be true:

NN11 = NN00 + NN33 = NN00 + NN21 = NN31 + NN04 = NN02 + NN04