User blog:Ynought/Another shot at a game related function

\(Upsilon\)\(n\)= the biggest string where you don't lose in the later described game,but you also have to be able to read every 2nd or 3rd or 4th ... instruction. the game is a square of sidelenght \(n\) where a line is placet at every unit square, the outermost squares are red and if you get to them you lose,btw the starting position is on the bottom left



so an extension is \(textrm{Upsilon}_2\)\(n\) is the same as \(Upsilon\)\(n\) but in \(n\) dimensions