Pyramids

Man fears time, but time fears the Pyramids.
Arab proverb

PYRAMIDS
Kosintsev I.G.
kosintsev.i.g@gmail.com
(17.03.2011)

When you are travelling near Egypt's, China's or Mexico’s pyramids you may ask yourself: what game are Gods playing?
Albert Einstein once said: God does not play dice with the universe. Yes! Of course! Because Gods play pyramids!
You can also try it by the new chess similar game entitled “Pyramids”.
The initial position of the game Pyramids with the standard 9x9 board is follows.

Definition of a pino.
Vertically adjacent checkers (particles) of the one color with different sizes (in oure case of small p1 to large p4) and with the correspondent numbers (labels) form a pyramidal labeled polyomino (simply called "pino") that moves as one hole piece, can be subdivided, and in effect becomes several pinoes. Pino may be expanded by moving additional checkers on free vacances but all checkers of one pino must have different sizes. It is clear that pino has at least one checker.

You can see all possible pieces (pinoes, slaves, faraons) of the game Pyramids on the next diagramm.

Some pieces have the archaic ancestors from Modern Grand Chess [5].

It is possible to reprisent any position by the digital consequences instead of pieces and by Algebraic chess notation. Any digit before point means white checker, after - black.

Rules:

Modes.

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 first, second ant third neighbor mode of the movement N(n), where n=1,2,3 over the neighbor occupied or unoccupied squares N(x), where x less n (Jump).

Movement of pieces in a game.
1. A slave (S) moves, without capturing, by N(1) mode und captures by D(1) mode.
A slave may advance in its first move, without capturing, by N(2) mode. The capture «en passant» is absent.
It also promotes for any another (at the player's choice) pino when it reaches the last rank.
2. Any pino with checker p1 moves by N(1) mode.
3. Any pino with checker p2 moves by N(2) mode.
4. Any pino with checker p3 moves by D mode.
5. Any pino with checker p4 moves by O mode.
6. Any pino with three checkers p1,p3 and p4 moves by N(3) mode.
7. The faraon (F) moves by N(1), or N(2), or N(3) modes during the game, provided that he hasn't been checked before he makes his N(2) or N(3) move. It loses the right to make a N(2) or N(3) move after the check.
Castling doesn't exist (compare with Chaturanga [2]).
The aim of the game is to capture the opponent's faraon.
Other rules of this game are identical with rules of classical chess [1].

Internet resources:
1. Chess.
http://en.wikipedia.org/wiki/Chess
2. Chaturanga.
http://www.chessvariants.org/historic.dir/chaturanga.html
3. В. Ивановский, О. Свирин
Русские шахматы: Таврели.
Москва, "Русский путь", 2002 (104 с.)
http://tavreli.narod.ru/books.html
4. Shogi.
http://en.wikipedia.org/wiki/Shogi
5. Modern Grand Chess.
http://chess-checkers-go.blogspot.com/2010/12/modern-grand-chess.html