The opt is normalized to [0,1]^D A rectangle is a row of ints in G [char. size, num0, den0, num1, den1, ... ,size0, size1... ]

the center point is num/den so the starting value is 1/2 the half side length is 0.5/3^size so the starting value is 0 char. size is min(size) <\p>