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This is pretty dang cool! I really enjoy 4D variants.
Damn! I recently had a very similar idea for a 5x5 set of 5x5 boards. Thought I was the first. I guess my game will have to be a Hyperchess variant. :)
A very nice expansion to V.R.Parton's Sphinx Chess. (Forgive my classical reference.) The 'king hold' rule definitely improves the play. The inability to often pin the opposing king was the major flaw with Sphinx Chess. This rule is a very logical and effective cure. Allowing the Bishop to change diagonal patterns is nice, but might this particular move be a non-capturing one? No pressure to change it, just some fuel for discussion. I look forward to future developments by this author.
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