Oh guys, long time its ago since this thread was started.
But now I am finally able to post the premiere graph of balanced selftetration, i.e. x[4]x where [4] is the balanced tetration.
This was possible by a mixture of recurrent and power series formula.
And this is the result:
blue: x[2]x = x*x = x^2
green: x[3]x = x^x
red: x[4]x
Note that 2[n]2 = 4 in balanced hyperoperations of arbitrary rank n.
and here with aspect ratio 1 and the identity in black as comparison, including 0:
But now I am finally able to post the premiere graph of balanced selftetration, i.e. x[4]x where [4] is the balanced tetration.
This was possible by a mixture of recurrent and power series formula.
And this is the result:
blue: x[2]x = x*x = x^2
green: x[3]x = x^x
red: x[4]x
Note that 2[n]2 = 4 in balanced hyperoperations of arbitrary rank n.
and here with aspect ratio 1 and the identity in black as comparison, including 0:
