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An improvement in the presentation would be to use £ rather than $ for the Banker, to both be more distinguishable from S for Snark and better represent Lewis Carroll's very British, English even, brand of eccentricity. As far as the game itself goes, 41 squares seems an unusual choice. 42 would better reflect the theme as the poem's introduction refers to rule 42 'No-one shall speak to the man at the helm...', and rules with this number recur in the author's other works. A character who might be an interesting addition is the Billiard Marker (M for Marker, perhaps) who could be represented as a Bishop reflecting off all the board's edges including those bordering chasms.