Combinatorial Game Theory
who wins, and by how much
Ladder

Sprouts — the ladder

One essay so far against this idea. A ladder is the distinct arguments that stand against one idea, and this one has room to grow.
  1. 051015how many moves the game lasted1 spotBrussels — always 3Sprouts — 2 in these games2 spotsBrussels — always 8Sprouts — anywhere from 4 to 53 spotsBrussels — always 13Sprouts — anywhere from 6 to 84 spotsBrussels — always 18Sprouts — anywhere from 9 to 10every Brussels length matched 5n − 2 across 40 random games from each startand the figure refuses to draw itself if any of them does not

    Sprouts, and the game that is not one

    Two games played with dots and curves, invented in the same room, all but indistinguishable on paper. One is unsolved past forty spots. The other has no decisions in it at all — the winner is fixed before the first curve is drawn.

    rung 1 · positions

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