The Chess Variant Pages



This page is written by the game's inventor, Dan Troyka.

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George Duke wrote on 2008-04-11 UTCExcellent ★★★★★
9x9.  Here's a theorem by Niels Henrik Abel (Abelian set, group, integral) on convergence of series in 1826:     
 0 = 1^n - 2^n + 3^n - 4^n + etc.,  n positive integer.  Here's a poem by Mark Stroud (slashes are lines): ''In a field/ I am the absence/ of field./ This is/ always the case./ Wherever I am/ I am what is missing./ When I walk/ I part the air/ and always/ the air moves in/ to fill the spaces/ where my body's been./ We all have reasons/ for moving./ I move/ to keep things whole.''  How to slice, like apple or pizza, the 10*3 CVs from 'ECV' and 'CVP'? Any 100 of them, like Gilman's or Betza's, are 1%. To evaluate we need subsets of 10 to 200 to compare, in other words, 0.1% up to 2%. Criteria can be any of locale of invention, board size, number piece-types, power density, year invention, gender, shape, geometry, theme, number mutators, winning conditions . Take sizing's '9x9', containing about 50 CVs, 0.5%. Surprisingly there are 25 Very Good/Excellent within 9x9, a disproportionate 50%. Previously reviewed, Weave & Dungeon   uniquely has Circle, Star, Triangle, Square, Pentagon, Diamond.

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