Anthony Viens wrote on Sun, Nov 18, 2018 10:34 PM UTC:
Ben Reininger, thanks for linking that image. I should have done that initially.
Your comment also made me realize something I missed....if you count the knight move as 2 sq ortho/1 sq ortho to the side OR 1 sq ortho/2 sq ortho to the side.....then the knight can reach b5, c6, and d7. So yeah, it looks like he just used a standard definition (1 ortho, 1 dag outward) and then counted the squares differently for the example.
H.G. Muller, interestingly enough, I don't see a confusion with 'outward'. I just see it as 'away from starting square'. But you are correct, everything has to be defined very clearly on this crazy board.
Which now leaves us with a conumdrum.....how do knights move? Apparently we cannot use the offical way (1 ortho/1 dig outward) without contradicting the offical example.
My opinion; use both the definition and the example as offical, as the inventor probably had to spend more time and effort constructing the example than writing the definition, so it probably reflects his desires.
So, I say:
The knight can move on notated spaces, either 1 othogonally then 1 diagonally outward (outward is away from the starting square) OR 2 orthogonally then 1 orthogonally to the side, OR 1 orthogonally then 2 orthogonally to the side.
Note this does not use the inaccessable (non-notated) spaces, but I believe it can reach all squares that could be reached by using the inacessable spaces.
Ben Reininger, thanks for linking that image. I should have done that initially.
Your comment also made me realize something I missed....if you count the knight move as 2 sq ortho/1 sq ortho to the side OR 1 sq ortho/2 sq ortho to the side.....then the knight can reach b5, c6, and d7. So yeah, it looks like he just used a standard definition (1 ortho, 1 dag outward) and then counted the squares differently for the example.
H.G. Muller, interestingly enough, I don't see a confusion with 'outward'. I just see it as 'away from starting square'. But you are correct, everything has to be defined very clearly on this crazy board.
Which now leaves us with a conumdrum.....how do knights move? Apparently we cannot use the offical way (1 ortho/1 dig outward) without contradicting the offical example.
My opinion; use both the definition and the example as offical, as the inventor probably had to spend more time and effort constructing the example than writing the definition, so it probably reflects his desires.
So, I say:
The knight can move on notated spaces, either 1 othogonally then 1 diagonally outward (outward is away from the starting square) OR 2 orthogonally then 1 orthogonally to the side, OR 1 orthogonally then 2 orthogonally to the side.
Note this does not use the inaccessable (non-notated) spaces, but I believe it can reach all squares that could be reached by using the inacessable spaces.