Friday 29 July 2016

Turtle (龜)

It's turtles all the way down.
Hindu mythology

If you plant one gold coin in a little hole, next day you will find a whole tree dripping with gold coins!
Carlo Collodi

A ses pieds le genre humain
Se ruant, le fer en main,
Dans le sang et dans la fange
Où brille l’ardent métal!…
Et Satan conduit le bal!
Johann Wolfgang Goethe

A Christian has no right being in a fight unless it’s a spiritual fight.
Charles Stanley

Turtle (龜)
Kosintsev I.G.
kosintsev.i.g@gmail.com
(23.10.2016)

If you have played chess, Xiangqi and Shogi enough times, you begin to understand that all chess variants have own particular pieces or classes of pieces absent at others. The size of board and hence the number of pieces are restricted. But there are an effective solution of this contradiction with help of popular at ours times idea of transformers next evolution of well known constructivism. We simply are adding to the rules the ability of the combining pieces to one hole and disintegration of it as special move or part of move. As result we get big variety of weak and strong pieces with absolutely different features and therefore new very interesting game.
Let's represent you the chess variant titled Turtle.

The game Turtle has three main streams: Indian turtle, Japan turtle and Chinese turtle with many variations.
The set up of the Indian turtle with the 8x8 board is follows.

The set up of the Chinese turtle with the 9x9 board is follows.

The set up of the Japan turtle with the 9x9 board is follows.


There are seven standard checkers (Tuvan coins [7]) of four suits.


The order of suits is such (down upside)
1. Blue.
2. Red.
3. Black.
4. Green.
The hierarchy of checkers (coins) is following (from left to right)
1. Stoat (Mustela erminea) - 10 kopeek (0.01 unit).
2. Wolverine (Gulo gulo) - 20 kopeek (0.02 unit).
3. Caspian red deer (Cervus elaphus maral) - 50 kopeek (0.05 unit).
4. Siberian ibex (Capra sibirica) - 1 ruble (0.10 unit).
5. Sable (Martes zibellina) - 2 rubles (0.25 unit).
6. Eurasian lynx (Lynx lynx) - 5 rubles (0.50 unit).
7. Amur tiger (Panthera tigris altaica) - 10 rubles (1 unit).

The standard Turtle set has 80 checkers. Each suit includes 20 checkers: 4 Stoats, 4 Wolverines, 3 Deers, 3 Ibexes, 3 Sables, 2 Lynxes and Tiger.


Definition of a piece.
Vertically adjacent checkers of the one color or of the one orientation (North or South) with different sizes (in oure case of small C1 to large C7) and with the correspondent signs or hieroglyphs (numbers of perforations) form a pyramidal labeled polyomino or partially ordered multiset simply called piece. It is clear that piece has at least one checker. One checker is an elementary piece.
The checkers can be used to create the homogeneous combined pieces (singles, doubles and triples).

The standard names of homogeneous pieces in agree with international classification [6] is such.
1. Pawns (slaves 1,2,3).
1.1. Soldier (S) (stoat).
1.2. Pawn (P) (wolverine).
1.3. Graz Pawn (G) (stoat & wolverine).
2. Hoppers (pieces 1,2,3).
2.1. Commoner or Mann (M) (single deer)
2.2. Knight (N) (double deer).
2.3. Centaur (C) (triple deer)
3. Diagonal leapers and rider (pieces 4,5,6).
3.1. Ferz (F) (ibex).
3.2. Elephant or Alfil (E) (double ibex).
3.3. Bishop (B) (triple ibex).
4. Orthogonal leapers and rider (pieces 7,8,9).
4.1. Wazir (W) (single sable).
4.2. Dabbaba (D) (double sable).
4.3. Rook (R) (triple sable).
5. Royal pieces (royalties 1,2,3).
5.1. King (K) (single tiger).
5.2. Alibaba (A) (single lynx).
5.3. Amazon Queen (Q) (double lynx).

Therefore the number of all possible pieces for Hopper, Diagonal or Orthogonal checkers is restricted to (63=4*4*4-1) by the next rule: any piece (P) can consist of no more than nine checkers and can have no more than three (triple) checkers of one type.
You can see all possible 63 pieces for Hopper, Diagonal or Orthogonal checkers: 9 homogeneous pieces (yellow background) and 54 heterogeneous combined pieces on the next diagramm.


You can see the prime (José Raúl Capablanca) set of all possible pieces (7=2*2*2-1) on the next diagramm.


Rules:
The orthogonal O(n) (blue marked) or diagonal D(n) (green marked) with or without jump J and knight N(n) (yellow marked) modes of the movement, where n is the number of the path cells.




The free universal ranking (rating) system (段)
Beginner: Bet pieces;
Pioneer (Class 1): Bet 10 unit;
Pioneer (Class 2): Bet 20 units;
Pioneer (Class 3): Bet 50 units;
Player (Class 4): Bet 100 units;
Player (Class 5): Bet 200 units;
Player (Class 6): Bet 500 units;
Player (Class 7): Bet 1000 units;
Player (Class 8): Bet 2000 units;
Player (Class 9): Bet 5000 units;
Player (Class 10): Bet 10000 units;
Red Master (Expert): Bet 20000 units;
Green Master (Master): Bet 50000 units;
Blue Master (Senior Master): Bet 100000 units and above;
Black Master (Champion): Bet - Trophy with diamonds.

Internet resources:
1. Chaturanga.
http://www.chessvariants.org/historic.dir/chaturanga.html
2. Chess.
http://en.wikipedia.org/wiki/Chess
3. Shogi.
http://en.wikipedia.org/wiki/Shogi
4. Xiangqi.
https://en.wikipedia.org/wiki/Xiangqi
5. Polystick.
https://en.m.wikipedia.org/wiki/Polystick
6. Fairy chess piece.
https://en.wikipedia.org/wiki/Fairy_chess_piece
7. Tuvan souvenir coins.
https://coinsberg.com/catalog/russia/republic-of-tuva-the-russian-federation-set-of-7-coins-local-fauna-2015/
8. The King Of Chess 棋王 (1991) - Eng Sub http://zingtivi.com/phim-online/The+King+Of+Chess+%E6%A3%8B%E7%8E%8B+(1991)+-+Eng+Sub

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