Take 2 sets of n cards, each set with the integers 1 to n written on

the cards, one integer per card.

(You can also, letting n=10, take the cards 1(ace) through 10 of two

suits of a standard card-deck.)

Take a linear game"board" (analogous to a number-line), a row of

squares onto which to place

the game-pieces (the board containing enough squares, n^2 + n + 2, to

allow for the

pieces to move the maximum possible of moves to the left and right).

A variation might be to have fewer than n^2 + n + 2 squares, forcing

players to move away

from the edges if the situation arises.

Players each have a collection of stackable game-pieces (such as

coins), each player having one of two colors of pieces. Each player

begins by placing one of their pieces on one of the center squares,

player 1 putting a piece on the left-center square, player 2 putting a

piece on the right-center square.

Each player has one of the two sets of n-cards. The cards are first

shuffled. During play, the players take turns drawing cards one at a

time (from a face-down stack). After each card is drawn, the player

places a counter EITHER to the left or to the right, as the player

chooses, of the last piece that that player has put down. The number

of squares to the left/right of the previously-placed piece is the

number on the card drawn.

Each piece is kept in place after it is put down.

Pieces may be put in the same squares as other pieces (of either

color), the pieces being stacked as necessarily.

Scoring: Player-1's score is the PRODUCT of the total numbers of

pieces on each square which contains any pieces and is on the LEFT

half of the board.

Player-2's score is the product of the total numbers of pieces on each

square which contains any pieces and is on the RIGHT half of the

board.

So, players are encouraged by the scoring, but not required by the

rules, to stay on their side of the board.

(Hmmmm...using black and white pieces seems now to be

poltically-incorrect...)

They are also encouraged by the rules to get, in most cases, more

combinations of fewer (but > 1) pieces on as many squares as possible,

as opposed to few squares containing many pieces each.

Example:

n=4 game:

1's-cards: 4,3,1,2

2's-cards: 1,2,4,3

**********12**********

******1***122*********

******1**1122*2*******

******1**1122*2***2***

..........1

******1*11122*22**2***

..........1

So player 1 gets 2 (1*1*1*2) points, player 2 gets 1 (1*1*1*1*1)

point.

Of course, this game would be more interesting with a higher value for

n.

A (more fun??) variation: Players place each of their pieces, on each

move, the proper # of squares to the left/right the last piece put

down by their OPPONENT.

Hmmm....

Thanks,

Leroy Quet

## Wednesday, September 17, 2008

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