Mathematical board game apparatus
OwnerKyong H. Pakinventor
Life of this patent
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Abstract
A mathematical board game including a game board (21) bearing a rectangular grid (25) defining a plurality of ranks (R) and files (F). A plurality of tiles are provided for each player, each tile being marked with one of the base 11 digits [1, 2, 3 . . . 10] for placing on the board. Each player places one tile at a time in an attempt to provide rank, file, or diagonally contiguous sequences which sum to a number even divisible by ten. A combinatorial sieve to generate all non-redundant combinations of three integers which sum to either ten or twenty is used to derive the number of tiles marked with each digit (35).
Claims1
A method of playing a mathematical board game by a first player and second player comprising the steps of:
- (a) providing a game board including indicia thereon defining a rectangular matrix of playing positions, said rectangular matrix being characterized by J ranks and K files;
- J and K being positive integers greater than 11;
- (b) providing a first plurality of tile pieces, each of said tile pieces being inscribed with a single digit n, n including integer values between and including 1 through 10 such that for n=[1, 2, 3 . . . 10] seven tile pieces of said plurality of tile pieces bear indicia n for n=an even integer, and six tile pieces of said plurality of tile pieces bear indicia n for n=an odd integer, and providing a second like plurality of said tile pieces;
- (c) providing said first player with five tile pieces of said first plurality of tile pieces;
- (d) providing said second player with five tile pieces of said second like plurality of tile pieces;
- (e) said first player and said second player alternately placing one of said tile pieces on one of said playing positions of said rectangular matrix and drawing a replacement tile from the player's respective plurality of tiles;
- (f) providing a score for each particular one of said first player and second player equal to N, wherein ##EQU3## n.sub.k being the value of indicia on each tile piece of a rank, file or diagonally contiguous sequence of said tile pieces, all placed on said rectangular matrix of said game board by said particular one of said players during a plurality of repetitions of step (e);
- and
- (g) repeating steps (e) and (f) above until a total score for one of said first player or second player equals a predetermined number.
Dependencies are inferred from the claim text.