The Chess Variant Pages
Custom Search




[ Help | Earliest Comments | Latest Comments ]
[ List All Subjects of Discussion | Create New Subject of Discussion ]
[ List Earliest Comments Only For Pages | Games | Rated Pages | Rated Games | Subjects of Discussion ]

Single Comment

This item is an article on pieces
It belongs to categories: Orthodox chess, 
It was last modified on: 2014-08-10
 By Charles  Gilman. Man and Beast 03: From Ungulates Outward. Systematic naming of the simplest Oblique Pieces.[All Comments] [Add Comment or Rating]
Charles Gilman wrote on 2009-06-17 UTC
'We figure the zero(0) squares of Rook either way within one quadrant (the Rook is the border) as coprime for convenience.' Far from it, as MAB 06 confirms. Just as 1 being the only self-coprime number renders the Elephant, Tripper, Commuter &c non-coprime pieces, 1 being the only number coprime with 0 renders the Dabbaba, Trebuchet, Cobbler &c non-coprime pieces. 'So, within 13x13 we are only omitting, with the order mattering,' and regarding 0:0 as already occupied: 0:2, 0:3, 0:4, 0:5, 0:6, 2:0, 2:2, 2:4, 2:6, 3:0, 3:3, 3:6, 4:0, 4:2, 4:4, 4:6, 5:0, 5:5, 6:0, 6:2, 6:3, 6:4, 6:6. The comment '(he is not likely to proceed beyond 15- or 17-block)' at least is true, as I only went as far as I did in response to interest in such pieces in this article's previous incarnation.