04/26/2008, 09:00 PM
Some pictures of left tetration
red, green, yellow, blue corresponds to x[4']0, x[4']1, x[4']2, x[4']3
and left pentation
red, green, yellow, blue corresponds to x[5']0, x[5']1, x[5']2, x[5']3
The conjecture of course is that
\( \lim_{x\to 0} x[2k]t = 1 \), \( t>0 \).
\( \lim_{x\to 0} x[2k+1]t = 0 \)
red, green, yellow, blue corresponds to x[4']0, x[4']1, x[4']2, x[4']3
and left pentation
red, green, yellow, blue corresponds to x[5']0, x[5']1, x[5']2, x[5']3
The conjecture of course is that
\( \lim_{x\to 0} x[2k]t = 1 \), \( t>0 \).
\( \lim_{x\to 0} x[2k+1]t = 0 \)
