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George Duke wrote on Tue, Mar 1, 2005 05:41 PM UTC:
Circular chesses, though square-based, create different patterns. For ex.,
Round Table 84 has triangular areas and also characteristics of Cylinder
Chess. All sixty hexagonal CVs here can keep their same rules and
subdivide each cell into six triangles adding connectivity for (rare)
special move(s); this can be visualized in Shankaku Shogi drawings. Most all the 
2000 CVP games actually have squares divisible into two isosceles right triangles, 
so would be playable  with rules unchanged plus special-move feature based on triangular 
subdivision and orientation.  Squared and hexagonal areas could also be combined in 
game boards, regardless discontinuity in tesselation. It would be no more 
distracting than Ultra-Slanted Escalator's having regions with squares offset.