Unlike most, but not all, of my earlier games, this game is NOT played

on an n-by-n grid.

Instead, carefully draw (preferably with a compass or a computer) n

equally-spaced concentric circles, where n is about 5 or more for

beginners (and when just 2 players are playing), a much larger n for

advanced players or if there are more players. (The concentric circles

should end up looking something like a target.)

(I suggest you photocopy the concentric circles, so as to make playing

multiple rounds much easier.)

Players (any number >=2) take turns being the "divider".

The divider, on his/her round, subdivides each ring between each pair

of consecutive circles into anywhere from m to 2^m sections, where m

is the order of a ring from the center of the "target". (The range of

allowable numbers of sections per ring can be modified, if players

chose.)

The line-segments dividing the rings should be perfectly straight, and

should meet the consecutive circles they connect at a right angle to

the tangent of the circles at the points where the circles and the

line-segments meet.

But it is up to the divider as to where along the rings the dividing

line-segments go exactly.

Next, the players who are not the divider take turns each drawing a

straight line-segment (with a straight-edge) from any intersection

where a dividing line-segment and a circle meet to any other such

intersection.

The player who is moving then fills in any sections (section = the

sections of the rings that are subdivided by the dividing line-

segments) that his/her line passes through using a colored pencil of a

color different from the colors of the other players' pencils.

The players' lines may intersect each other, and may pass through

already-filled-in sections. But a player can only fill in sections

that are not yet filled in.

Lastly, the divider then draws a line segment from any intersection to

any other, and fills in the sections his/her line passes through. (As

before, the players' lines may cross, but only sections not filled in

before may be filled in.)

Each player gets a point for each section of his/her color.

Rounds are played -- each round with the same number of concentric

circles -- so that each player plays the divider the same number of

times. Players also switch the order they play on each round, so that

each player plays in any given order the same number of times as every

other player does.

Scores are added from the rounds, and the player with the greatest

number of points wins, of course.

Thanks,

Leroy Quet

PS:

Clarification: Either, players should be banned from drawing their

lines to coincide with dividing

line segments, or if a game line and a dividing line segment coincide

then the player drawing the game line should not be able to fill in

either segment on the two sides of the dividing line-segment.

(The players can chose which game-rule they chose.)

## Monday, September 22, 2008

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