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Betza notation (extended). The powerful XBetza extension to Betza's funny notation.[All Comments] [Add Comment or Rating]
💡📝H. G. Muller wrote on Sat, Oct 24, 2020 05:18 PM UTC in reply to Aurelian Florea from Thu Oct 22 03:47 AM:

fW* is a move up to half-way the board, from any position (but always allows a single step). If you want that only from the Pawn's initial rank, you should write ifW*. But if later moves should be able to do it too, you can leave out the i. The move automatically generates e.p. rights on all squares moved through. If it is non-capturing, you should of course add an m. (Should work similarly for fF*, btw.)

Later edit: @HG I think I got the 41&43 falcon: afafafsKafsafafKafafraflKafaflafrK

Well, this is definitely the correct approach. Unfortunately you have to give the mirror-image paths that bend two times separately, because after an initial s for the first bend, the equivalence between r and l is broken. This could have been avoided by redefining the meaning of r and l after an s, to mean 'same direction' or 'opposite direction' as that s. But alas, the diagram doesn't use that convention; r there is always 'to the right'. So you have to split the s in an r and l move put on a separate atom, so that the direction of the first bend is explicit, and all subsequent bends can be adapted to it.

As to your 'long-neck Falcon' (Vulture?): it depends of course on how exactly you want it to move, but it seems to me there could be more paths; the targets can be reached through 4 shortest paths, depending on whether you make the first bend after 0, 1, 2 or 3 steps, and then bend back immediately afterwards. Those that start bending after 1 or 2 steps have a bend in the opposit direction, and need to be split. That would mean 6 paths starting from K.