lew@ihuxr.UUCP (Lew Mammel, Jr.) (03/06/84)
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
lew@ihuxr.UUCP (Lew Mammel, Jr.) (03/06/84)
Forget the glide planes! Everything I said was true, except for the stuff about the glide planes. There are no glide planes. There are only simple mirror planes (or lines if you prefer.) Actually, this symmetry is quite common in floor tiling, except that the unit cell usually has reflection symmetry about the diagonals as well. Lew Mammel, Jr. ihnp4!ihuxr!lew
bill@dual.UUCP (03/09/84)
< Tsuji for bugs >
This sounds like a form of Go playing called 'mimic' go. This is where the
white player echos the play of black like a mirror on the other side of the
board. Games like this can be very interesting. Sooner or later it is necessary
for white to end the mimic plays. Sometimes though several dozen moves can be
made first.
If you are interested in seeing some mimic Go games please see "Famous
Games" and back issues "Go World" both published by the ISHI PRESS.
Bill Kanawyer
{ucbvax,amd70,ihnp4,cbosgd,decwrl,fortune}!dual!bill