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Man and Beast 01: Constitutional Characters. Systematic naming of symmetric and forward-only coprime radial pieces.[All Comments] [Add Comment or Rating]
💡📝Charles Gilman wrote on Fri, Apr 8, 2011 05:39 AM UTC:
Now you've hit on something. All right, if an aversion produces a mixed-cell board that's a bonus. Making pieces averse to a single Elephant binding gives squares alternating with pentagons, and making them averse to a Trebuchet binding gives a curious mixture of squares in clusters surrounded by pentagons. Making them averse to the binding of a Veering or Backing Knight (see Man and Beast 12) gives a third pattern entirely of pentagons, an asymmetric one with the boundaries forming an unfortunate swastika motif. Returning to the Dabbaba binding, I see that the paths of Bishops unaffected by the restriction suddenly look like hex Rook paths! Of course hex boards can also have pieces averse to a Dabbaba binding, and for them the board turns into the following rhombic pattern:
 ____  ____  ____  ____ 
/_/\_\/_/\_\/_/\_\/_/\_\
\_\/_/\_\/_/\_\/_/\_\/_/
/_/\_\/_/\_\/_/\_\/_/\_\
\_\/_/\_\/_/\_\/_/\_\/_/
/_/\_\/_/\_\/_/\_\/_/\_\
\_\/_/\_\/_/\_\/_/\_\/_/
/_/\_\/_/\_\/_/\_\/_/\_\
\_\/_/\_\/_/\_\/_/\_\/_/