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Teeko


A game described by Scarne which is played on a 5×5 board by two players who alternate placing, one at a time, their four counters each, after which the counters are moved around (including diagonally). Four counters in a row or square wins (Beeler et al. 1972). In general, there are sixteen forms of the game, all of which were solved completely by Guy Steele in 1998 with the following results: standard teeko (44 winning configurations) is a draw, and advanced teeko (58 winning configurations) is a first-player win.

Here is a more complete summary of the results.

variantwinner
standarddraw
alternatedraw
one-move alternatedraw
two-move alternatedraw
three-move alternatedraw
one-move standarddraw
two-move standarddraw
three-move standarddraw
standard, 58 positionsfirst-player win (13 turns)
alternate, 58 positionsdraw
one-move alternate, 58 positionsdraw
two-move alternate, 58 positionsdraw
three-move alternate, 58 positionsdraw
one-move standard, 58 positionsfirst-player win (25 turns)
two-move standard, 58 positionsdraw
three-move standard, 58 positionsdraw

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References

Beeler, M. et al. Item 90 in Beeler, M.; Gosper, R. W.; and Schroeppel, R. HAKMEM. Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, p. 35, Feb. 1972. http://www.inwap.com/pdp10/hbaker/hakmem/proposed.html#item90.

Referenced on Wolfram|Alpha

Teeko

Cite this as:

Weisstein, Eric W. "Teeko." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Teeko.html

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