Mar 30, 2006

VERY SLOWLY PROGRESSIVE Y

Progressive Y (with the drop restriction of just one piece per friendly group per turn) with the following move sequence:1 2 2 2 3 4 4 4 5 6 6 6 7 8 8 8...

Game:

1.  k7 (X started)
2.  n8 k9
3.  j8 g9
4.  k5 n6
5.  m5 m7 f10
6.  m9 q9 h8  l6
7.  h6 o7 f8  o9
8.  h4 p6 p8  g7
9.  i3 i5 i9  l4  i11
10  i7 q7 h10 b10 m11 e11
11  j4 c9 j10 n10 t10 q11
12  m3 j2 o11 s11  j6 e9
13  l2 f6 l10 r10 c11
14  e6 d10 ...and wins next move.

Final position:

abcdefghijklmnopqrs
          .            1
         o x           2
        x . o          3
       o x x .         4
      . x o x .        5
     x x o o o o       6
    o o o x x x o      7
   . x o x . o o .     8
  x o x x o o x o .    9
 o o x o x x x . x x  10
. x o . x . o o x o . 11
abcdefghijklmnopqrstu 12


In most games (Go, Hex, Y, Moku...) the progressive variant without any restriction does not provide a propoer strategic background. In our experience, a progressive mutator sequence (and there are several, as we already saw during this blog) does have a very good partner, the group restriction mutator. Using both, each multiple drop within a turn is balanced so that no group of connected pieces is extended by more than one piece (except, of course, when two groups merge by placing one stone inbetween).

No comments: