Omino

OMINO
Kosintsev I.G.
kosintsev.i.g@gmail.com
(03.06.2010)

Hello players! I had studied a mathematics but had thought instead about games and had invented in such a way the new game titled “Omino” as an alternative to Draughts [1], Chess [2], Shogi [3], Go [4], Blokus [5] and Gess [6].
This 100-squares board game has wide strategic and tactical possibilities and at the same time is using a classical set of 20 white and 20 black checkers.
The initial position at the game Omino with the 10x10 board is follows.



Rules.
Vertically or horizontally adjacent checkers (originally called squares) of the same color form a polyomino (simply called an omino) that moves as one hole piece, can be subdivided, and in effect becomes several ominos. Ominoes may be expanded by moving additional checkers on adjacent cells or connected together by moving a checker or an omino on a cells that are adjacent to one or more ominoes of the same color.
Ominoes with from 1 to 5 checkers are called respectively monominoes, dominoes, triominoes, tetrominoes and pentomino.

The 9 movable ominoes.







The modes of the movement:

1. The orthogonal mode of the movement O or O(n), where n is the number of the path cells.



2. The diagonal mode of the movement D or D(n), where n is the number of the path cells.



3. The second neighbor mode of the movement S.



1. (P) The pawn moves, without capturing, by O(1) mode and captures by D(1) mode.
2. (H) The horse moves by S mode.
3. (N) The ninja moves by O(1) or by D(1) or by S modes.
4. (B) The bishop moves by D mode.
5. (R) The rook moves by O mode.
6. (C) The cardinal moves by D or by S modes.
7. (M) The marshal moves by O or by S modes.
8. (Q) The queen moves by O or by D modes.
9. (K) The king moves by O or by D or by S modes.
Captured by the king pieces are retained "in hand", and can be brought back into play under the capturing player's control. On any turn, instead of moving a piece on the board, a player may take one checker that had been previously captured, change it colour to oposite one and place it on any empty square. The piece is now part of the forces controlled by that player. This is termed dropping the piece, or just a drop [3]. A drop cannot capture a checker.
The promotion is absent.
Other rules of this game are identical with rules of classical chess [2].

The aim of the game is to capture all opponent's checkers or make them impossible to move.

Internet resources:
1. Draughts.
http://en.wikipedia.org/wiki/Draughts
2. Chess.
http://en.wikipedia.org/wiki/Chess
3. Shogi.
http://en.wikipedia.org/wiki/Shogi
4. Go.
http://en.wikipedia.org/wiki/Go_(game)
5. Blokus.
http://en.wikipedia.org/wiki/Blokus
6. Gess.
http://en.wikipedia.org/wiki/Gess
7. Polyomino.
http://en.wikipedia.org/wiki/Polyomino
8. Polyominoes: puzzles, patterns, problems, and packings.
By Solomon W. Golomb, 1965 (1994).
9. Problem of the Month (August 2005).
http://www2.stetson.edu/~efriedma/mathmagic/0805.html
10. Cheskers (invented by Solomon W. Golomb).
http://en.wikipedia.org/wiki/Cheskers