Question 84
The two women Inger and Ellen play the following game. On a large piece of paper are $2019$ six-pointed snowflakes $*$, placed in general position (and not touching). Each of the six arms of the snowflake has an extreme end, called its *apex*.
A move consists of drawing a curve connecting two apices, possibly belonging to the same snowflake. The curve may not intersect itself and may not touch any previously drawn curves. Also, it may not touch any of the snowflakes (except at the two apices forming its endpoints). Each apex may be used only once.
Inger makes the first move, and then the players alternate. The first player who cannot make a move has lost the game. Which player has a winning strategy?
A move consists of drawing a curve connecting two apices, possibly belonging to the same snowflake. The curve may not intersect itself and may not touch any previously drawn curves. Also, it may not touch any of the snowflakes (except at the two apices forming its endpoints). Each apex may be used only once.
Inger makes the first move, and then the players alternate. The first player who cannot make a move has lost the game. Which player has a winning strategy?