Generator

7 positions of the same value, and how long each of them lasts

7 positions of the same value, and how long each of them lasts
7 positions of the same value, and how long each of them lasts. Nim positions whose heap sizes all nim-sum to zero. As games they are the same object: each is worth zero, each is a loss for the player to move, and each may be substituted for any other inside any sum without changing a single outcome. The bars are how many moves each one takes, from the shortest legal play to the longest. The value determines everything about who wins and nothing at all about when.

Nim positions whose heap sizes all nim-sum to zero. As games they are the same object: each is worth zero, each is a loss for the player to move, and each may be substituted for any other inside any sum without changing a single outcome. The bars are how many moves each one takes, from the shortest legal play to the longest. The value determines everything about who wins and nothing at all about when.

1 essay calls tempo-spread. The drawing above is what it returns with no arguments at all; every call below passes it something, because a placement that passes nothing draws whichever member of the family the generator happens to default to rather than the one its essay argues about.

The positions it draws

12 distinct positions, harvested by drawing the figure again at the options each essay asked for.

Where it is called

Every one of these figures is a drawing of the same construction, so a correction to it corrects them all.

The whole library · The position index · The figures that play back