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From: lew@ihuxr.UUCP (Lew Mammel, Jr.)
Newsgroups: net.games.go,net.physics
Subject: Solid State Go
Message-ID: <949@ihuxr.UUCP>
Date: Mon, 5-Mar-84 18:33:00 EST
Article-I.D.: ihuxr.949
Posted: Mon Mar  5 18:33:00 1984
Date-Received: Tue, 6-Mar-84 03:35:12 EST
Organization: AT&T Bell Labs, Naperville, IL
Lines: 33

Have you ever noticed that Go can be regarded as being played on an
infinite square lattice with a 38x38 unit cell and two sets of glide
planes with period 19 ? The unit cell contains four boards, a copy of
the actual board, and two copies of its mirror image. they fit together
like this:


		4  .  .  .  .  .  .  .  .
		3  .  .  O  .  .  O  .  .
		2  .  .  O  .  .  O  .  .
		1  .  .  X  X  X  X  .  .
		1  .  .  X  X  X  X  .  .
		2  .  .  O  .  .  O  .  .
		3  .  .  O  .  .  O  .  .
		4  .  .  .  .  .  .  .  .

		   D  C  B  A  A  B  C  D

The actual board is on the upper right, and its copy is on the lower
left, rotated by 180 degrees. If this unit cell is repeated, the other
corners will show the same symmetry.

The board itself forms a primitive cell, which generates the infinite
lattice by repeated application of the two glide operations.

This scheme replaces the edge condition with a repetition pattern for
each move, preserving the rule of capture. Moves near the corner will
form a lattice of rectangles with period 38. A move at the center forms
a square lattice with period 19.

This doesn't really lead anywhere, but I think it's interesting.

		Lew Mammel, Jr. ihnp4!ihuxr!lew