Author Topic: Variant Description - Chess on an Infinite Plane  (Read 170 times)

chilipepper

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Variant Description - Chess on an Infinite Plane
« on: January 13, 2018, 03:03:05 pm »
Here is the rule-set for "Chess on an Infinite Plane" (one type of an infinite chess game):

(The game description is also specified at http://www.chessvariants.com/invention/chess-on-an-infinite-plane).

The Pieces:

Black and White each have the following pieces (quantity and name):
1 king
1 queen
2 chancellors
2 rooks
2 bishops
2 knights
2 guards
2 hawks
24 pawns

All pieces move as in classical chess, with the "extra" three pieces moving as follows:

Chancellor (C) - Moves and captures as rook + knight.

Hawk (H) - Leaps exactly 2 or 3 squares in any orthogonal or diagonal direction. The leaping move means it can jump over other pieces.

Guard (G) - Moves and captures the same as a king but is not affected by check.

Pawns play the same and promote at the same rank as in classical chess. White pawns promote at rank 8, and black pawns promote at rank 1. Pawns can promote to chancellor, hawk, or guard in addition to queen, rook, bishop, or knight. Pawns may capture and be captured en passant with the same rules as in classical chess.

Board Setup:

Orange brackets indicate the four "classical" corner squares (1,1), (1,8), (8,1), and (8,8).

There is no castling.

There is no fifty-move rule. Draws can only occur from stalemate, threefold repetition, agreement, or a proven case of insufficient material to force checkmate.

All other rules are the same as in classical chess.

Move Notation:
Numeric coordinates are used to identify piece locations as (file#, rank#). Parenthesis are used around each coordinate. Three examples of a move notation:
1) A rook moving from (8,4) to (1,4):
     R(8,4)-(1,4) or R(1,4)
2) A rook moving from (1,4) and capturing a piece on (0,4):
     R(1,4)x(0,4) or Rx(0,4)
3) A pawn advancing from (-1,7) to (-1,6):
     (-1,7)-(-1,6) or (-1,6)

Feel free to leave comments, ideas, theory, strategy, game results, etc. on this thread. :)
« Last Edit: February 02, 2018, 12:16:59 pm by chilipepper »
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elephant

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Re: Variant Description - Chess on an Infinite Plane
« Reply #1 on: January 21, 2018, 10:16:46 am »
IDK seems like games like this would be a sluggish bear.

1. for example shogi is really slow until you start capturing pieces and dropping them.

2. even a board game like feudal you're able to move all the pieces you want on one turn and still it's slow.

apologies for not knowing how to make a link will just paste them

1. https://en.wikipedia.org/wiki/Shogi

2. https://www.boardgamegeek.com/boardgame/847/feudal

McGoohan

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Re: Variant Description - Chess on an Infinite Plane
« Reply #2 on: January 21, 2018, 11:23:28 am »
The game can also quickly develop a deadly dynamic when stronger pieces are in play. Here's an example with a checkmate after 13 moves.
https://www.chess.com/forum/view/chess960-chess-variants/chess-on-an-infinite-plane-team-competition-game-3?page=2

chilipepper

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Re: Variant Description - Chess on an Infinite Plane
« Reply #3 on: January 21, 2018, 01:15:13 pm »
Thanks elephant and McGoohan for your comments. The study of game length for any variant (and chess itself) is very interesting to me.

I've seen both very short and long games. I'm actually surprised some games haven't been longer - I think theoretically a game between two expert players (and without strong pieces added) can be much longer than normal chess. If the center armies don't lead to an advantage for one side, then the hawks and pawns in the rear formations will come into play, with the pawns requiring a long journey to possible promotion.

I'm not sure of the longest game. One game was played with the huygens (a piece which jumps prime numbers of squares). This game was 94 moves (notation below). If I hear about any shorter or longer games I'll bring information here. :)

(game start date: ~2/24/2017)
mayapira     vickalan
(White)       (Black)
--------     --------
1. (5,4)     (3,5)
2. N(6,3)    (5,6)
3. N(3,3)    N(3,6)
4. B(2,5)    (1,6)
5. Bx(3,6)   (2,7)x(3,6)
6. (2,3)     N(5,7)
7. (5,5)     N(7,6)
8. Hu(5,0)   C(2,7)
9. B(2,2)    (4,6)
10.(8,4)     (4,6)x(5,5)
11.Nx(5,5)   Nx(5,5)
12.Hu(5,5)   (6,6)
13.Hu(10,5)  B(4,6)
14.N(5,4)    (9,6)
15.Hu(-3,5)  B(5,5)
16.Bx(5,5)   x(5,5)
17.Ha(1,-2)  (0,6)
18.(3,4)     Hu(0,4)
19.(4,3)     (8,5)
20.(6,3)     (10,6)
21.Q(4,0)    (9,5)
22.Ha(4,1)   x(8,4)
23.Rx(8,4)   (7,6)
24.C(0,2)    (1,5)
25.(1,3)     Hu(-5,4)
26.R(10,4)   C(10,8)
27.K(6,1)    (10,5)
28.Ha(8,-2)  Hu(9,4)
29.Ha(8,1)        C(9,6)
30.C(9,2)         R(10,8)
31.Hawk(10,3)     Q(13,-1)
32.Huygensx(10,5) Qx(13,-5)
33.(12,-2)        H(8,11)
34.Q(7,3)         R(7,8)
35.C(3,2)         H(8,8)
36.Huygensx(5,5)  G(9,8)
37.Huygens(9,11)  C(11,6)
38.Huygens x(9,4) 8x(9,4)
39.Rx(9,4)        Q(13,8)
40.Ha(10,5)       Q(7,14)
41.Rx(9,8)        Q(7,9)
42.Rx(8x8)        Rx(8,8)
43.C(9,5)         C(11,-2)
44.Ha(10,3)       R(8,-5)
45.Hax(7,6)+      Qx(7,6)
46.Qx(7,6)+       K(4,8)
47.N(7,5)         C(5,7)
48.R(1,0)         H(1,11)
49.H(7,4)         R(6,-5)+
50.K(5,2)         R(5,-5)+
51.Huygens(5,0)   Cx(7,6)
52.Cx(7,6)        Rx(9,-5)
53.Nx(5,6)+       K(3,9)
54.Ha(5,4)        B(4,9)
55.C(7,9)         R(3,8)
56.Nx(3,5)        Hawk(1,8)
57.(7,4)          K(2,8)
58.(7,5)          Cx(10,-4)
59.Cx(4,9)+       K(1,7)
60.Cx(-1,9)       (-2,10)
61.C(0,9)+        K(2,6)
62.(4,4)          R(5,8)
63.Cx(-2,10)      Rx(5,4)+
64.(6,3)x(5,4)    R(7,-5)
65.C(7,10)        R(7,2)+
66.K(4,3)         Rx(3,2)
67.Kx(3,2)        Hawk(4,8)
68.(7,6)          C(7,-4)
69.(7,7)          C(7,0)
70.N(4,7)+        K(1,6)
71.N(5,9)         C(5,1)+
72.K(2,2)         Cx(5,4)
73.(7,8)=Q        Hawkx(7,8)
74.Nx(7,8)        Cx(4,4)
75.(10,3)         C(10,4)
76.C(3,10)        K(0,5)
77.Cx(3,6)        Cx(10,3)
78.(0,3)          C(10,8)
79.N(5,7)         (-1,6)
80.(1,4)+         K(-1,5)
81.(-1,3)         K(-2,6)
82.(0,4)          C(0,8)
83.(0,4)x(1,5)    K(-1,5)
84.(1,5)x(0,6)    (-1,11)
85.(1,5)          (-1,10)
86.(1,6)          (-1,9)
87.(1,7)          C(1,10)
88.(1,8)=Q        C(0,8)
89.Qx(0,8)        (-1,9)x(0,8)
90.C(2,8)         K(-1,4)
91.Cx(0,8)        (-1,5)
92.(0,7)          Kx(-1,3)
93.C(-2,7)        (-1,4)
94.(0,8)=Q        Black resigns!! :o
« Last Edit: January 23, 2018, 10:14:58 pm by chilipepper »
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Asher Hurowitz

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Re: Variant Description - Chess on an Infinite Plane
« Reply #4 on: January 26, 2018, 01:06:53 pm »
IDK seems like games like this would be a sluggish bear.

1. for example shogi is really slow until you start capturing pieces and dropping them.

2. even a board game like feudal you're able to move all the pieces you want on one turn and still it's slow.

apologies for not knowing how to make a link will just paste them

1. https://en.wikipedia.org/wiki/Shogi

2. https://www.boardgamegeek.com/boardgame/847/feudal

elephant, you can only move one piece at a time in Feudal.
Indeed it is certain that Chess Variants make me happy.

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