George Duke wrote on Sun, Nov 24, 2013 08:39 PM UTC:
Would the Rectahex board help or hinder visualizing Charles Gilman's
latest theorems? http://www.chessvariants.org/diffmove.dir/rectahex.html.
We find: 'Hexagon -> Rectahex -> Square -> Triangle (all reversible)'!
Triangles: http://www.chessvariants.org/index/displaycomment.php?commentid=26710.
Squares: http://www.chessvariants.org/index/displaycomment.php?commentid=26708,
http://www.chessvariants.org/index/displaycomment.php?commentid=26706.
This present topic of Chess Geometry is meaning Hexagonal chess geometry,
but Ralph Betza asks in 2003, "Is hexagonal chess really hexagonal or
merely a rectangular dream?" All the hex-board adjacencies are intact,
looking only at Squares once the Rectahex slide is performed. There are
differences in some corners, but not edges which have all same adjacencies
cell-to-cell Hex and Rectahex. However, LL and SOLL may be problematic
because of inconsistent perpendiculars from the skewing.
http://www.chessvariants.org/index/displaycomment.php?commentid=26724.