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George Duke wrote on Thu, Mar 4, 2010 04:41 PM UTC:
Here is Tetraktys I invented when Lavieri once called for Chess < 10 squares. http://www.en.wikipedia.org/wiki/Tetraktys Above is outside link, below is the CVPage new ''CV'': ________._______ Tetraktys is played in the 9 triangles created by the ______.___._____ 10 dots. There are two piece-types A and B. A moves ____.___.___.___ through sides internally adjacently one space -- like __.___.___.___._ a normal chess piece. B moves through sides externally (#5,6,7,8, &9 cells are lowest above.) either one or two spaces away at option. Each side has one A and one B. Label the cells {1;2,3,4;5,6,7,8,9} left to right top down conveniently. They would be equivalent to 5;762;98431 and also 9;487;13265. So for example, with the first scheme, from 5 A can move to 6 only, and if B were there, B can move from 5 to any of 1, 2, 7, or 9. There are three internal triangles which more mobile B yet cannot reach off-limits because having no outside border. Object and victory conditions are either Stalemate, where opponent has no move, or else more elegant Double Adjacency. Starting positions: Red B1 A4 and Black B9 A7. Piece density 4/9 = normal 44%. Power density obscure. Sides alternate in series of twelve games. Double adjacency at start or finish of turn is the preferred win condition. To lose so, it means your either A- or B-piece must move adjacent to both opponent's A and B across internal sides, or they to you in the victory. Corners covered, 1, 5, and 9 is considered Double Adjacency. So watch to be careful of adjacency.

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