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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.

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