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Infinite Chess 3D. Extends Chess to larger, even infinite, boards. () [All Comments] [Add Comment or Rating]

George Duke wrote on Sat, Mar 26, 2005 07:21 PM UTC:

'GHI,LargeCV': Who has not played Chess infinitely, informally, in everyday life by observing tile patterns or making 'lines-and-squares' steps? Uncommented so far, Infinite Chess has the sense here that RNBKQP are as a cardinal set in western Chess, eschewing the Chess Variant Page extreme variform philosophy. Unfortunately, this write-up just recapitulates in tone(considerably tongue-in-cheek) and substance two others having more refinement and finesse(A. Missoum's and Ralph Betza's). It has some interest, for instance, in Rule 1 within that a move be either finite or infinite: the 'infinite' ones are rather Alice-like. Betza's indexing for boards(Chess Really Big Board) is used exactly A1 to H8, and so on here. It does not seem a problem is solved of decreasing piece density as space enlarges. The main precedent is A. Missoum's 'Geometric Sequence of Chess Games,' which stops at 64x64 squares with its 126 Bishops, but could go on. 'The implications for geometry and the theory of infinite numbers will not be considered here.' Well and good.

David Paulowich wrote on Thu, Mar 1, 2007 01:11 AM UTC:

Infinite Chess is actually played on a finite 'figure-eight'board.

Keith Douglas posted Chess with an Infinite Board in 1997.

The first diagram here shows an infinite board with a corner on a1. I believe that White can force mate when he has King (d4) and Rook (h8) against a lone Black King (f6). White needs to get his two pieces together, somewhere like Rook (p16) and King (p14). Then the slow process of pushing the Black King down to (a1) can begin.

Abdul-Rahman Sibahi wrote on Thu, Mar 1, 2007 11:21 AM UTC:

George Jelliss wrote an article about 'Open Plane Chess'.

I believe his idea is more workable than both variants.

http://www.bcvs.ukf.net/reshap.htm#openp

David Paulowich wrote on Thu, Mar 1, 2007 01:04 PM UTC:

See Infinite Chess page for an article about variants proposed by Tim Converse and Jianying Ji.

See Ralph Betza's Chess on a Really Big Board for his thoughts on boards ranging from 16x16 to 512x512. Huge (but still finite) boards do not require the complex rules that an infinite board will.

🕸Fergus Duniho wrote on Sat, Jan 28, 2023 06:00 PM UTC:

Extending the number of ranks and files to infinity does not also increase the axes of movement through individual spaces. This is a large 2D game, but it is not 3D or 4D. So, I have removed it from those categories.

Ben Reiniger wrote on Sat, Jan 28, 2023 06:41 PM UTC:

The title of this page seems wrong on both counts: it is not infinite, and it is 4d, not 3d.

The introduction discusses infinite chess, but the eventual game description is clearly 4d (in an asymmetric, "2d+2d" way like Parton's Sphinx Chess).

🕸Fergus Duniho wrote on Sat, Jan 28, 2023 08:26 PM UTC in reply to Ben Reiniger from 06:41 PM:

The diagram on the page superficially resembles that of Sphinx Chess, but it has only two axes of movement, the vertical and the horizontal. If you follow the lines of movement of pieces on this board, you will see that multiple boards have been placed together to create a larger playing area on which pieces are still moving in two dimensions.

Ben Reiniger wrote on Sun, Jan 29, 2023 02:54 AM UTC in reply to Fergus Duniho from Sat Jan 28 08:26 PM:

No, rules 2-3 means that pieces cannot move from one "domain" to another except as in a 4d (asymmetric) game.

But it does look like I may have been wrong about the title: the domains are each infinite, while apparently the domains are supposed to be limited to an 8x8 grid.

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