Cascade


The following game (tentatively called "Cascade") is played by two
players.

Components needed:

- An NxN squared board, such as a Checker board. Colours don't
matter, so you can use Reversi boards or Go boards (though the
latter would probably be too big).

- Three sets of coloured stones, for example white, black and red.

The players sit side-by-side (not opposite each other) and the board
is placed in front of them with one corner to the edge of the table
(i.e., with the diagonals aligned with the table edges). This corner
is "down". The board starts empty.

The players take turns placing a stone of _any_ colour on any empty
square on the board. After a stone is placed, other stones are added
based on the following rules:

- If an empty square is directly below two squares holding stones of
the same colour, a stone of that colour is placed in the empty
square.

- If an empty square is directly below two squares holding stones of
different colours, a stone of the third colour is placed in the
empty square.

This is repeated until no empty square is directly below two filled
squares. Then the turn passes to the other player.

The game ends when all squares are filled. Player 1 wins if there are
more white stones than black stones on the board and vice-versa.
There can be ties.

As a variant, you also fill empty squares above two filled squares.
This will make the game play faster. If you do this, you can place
the players opposite each other.

Torben
.

Relevant Pages

  • Direction-Based Grid-Game (& Questions)(repost)
    ... Posted is a game and, below the game, a question and ... Start with an n-by-n grid drawn on paper, ... Players alternatingly take turns filling in, on each move, ... an *empty* square immediately next to the last square filled ...
    (sci.math)
  • Re: Blitz rules question . . . . . . . . . . . . . . . . . . Guy Macon
    ... two minute blitz games. ... compete, but because they have "decided to focus on ... players' at times are moving their men at the same time. ... on a certain square, then -- hopefully without having let go ...
    (rec.games.chess.misc)
  • Re: Test Abandoned
    ... chuckle about the players and umpires mass debating on the square! ...
    (uk.sport.cricket)
  • Re: The prisoners and the Reversi board
    ... Two prisoners sharing the same cell are given a logic test. ... The warden brings the first prisoner to a remote cell; puts 63 Reversi pieces on the squares of a Reversi board in a configuration he chooses, leaving one square of his choice empty; and designates one of the 64 squares as the freedom square. ... column with the empty square, ...
    (rec.puzzles)