A collection of (il)legal cyclic Go positions
- Ko - the simplest and cycle-topological only 2-cycle
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- Infinite yose - the 4-cycle with single pass
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- Eternal life - the 4-cycle at the edge
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- Tripel-Ko - a 6-cycle to get seki
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- Dopple-Ko seki - a 6-cycle with 2 passes in a seki
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- Moon shine life - a 6-cycle to force life for another group
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- Simplified Shimada - a 6-cycle with ko and ko threat
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Remark: the center ko should be of a little more value, to prevent each
player's option, in opposite to give atari with two stones, to connect solidly
and threaten to change the opponent's edge group life into ko.
- Round-Robin-Ko - an 8-cycle in a seki
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- Biliteral Double-Ko seki - an 8-cycle in a seki
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- Shimada's Ko - a 10-cycle with two-stage ko and ko threat (Shimada Takuya 1958)
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- The Pendulum - a 10-cycle with ko and ko threat (Matti Siivola 1983)
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- Molasses-Ko - another 10-cycle with 2 passes in a seki (T. Mark Hall 1993/94)
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Remark:
together with the position consisting of two independent simple Kos
the above mentioned two 4-cycle positions represent all existing
cycle-topological different 4-cyclic Go positions.
Diagrams were composed with xigc-4.1 / xv-3.10 / gifmerge-1.33 / giftrans-1.11.
So my thanks go to: Steve Coffin,
John Bradley,
Mark Podlipec, Rene Mueller, and
Andreas Ley
for writing PD-software which is source-code availible!
Achim Flammenkamp
enlarged: 2003-10-28 15:25 UTC+01