Re: Yet another 12C minichallenge (pi) Message #10 Posted by Gerson W. Barbosa on 11 Jan 2009, 9:30 a.m., in response to message #9 by Dusan Zivkovic
You have found a new solution. Congratulations!
Now I wonder if it can be done in 10 steps or less. My hint was making a slight modification in Katie's rewriting of your first approximation:
[3]
[9]
[6]
[g][ln]
[5]
[8]
[g][sqrt]
[/]
[4]
[x]
[g][GTO][0][0]
Here is the pandigital approximation I have mentioned:
'LN(((81)!+2*5!)^sqrt(9)+(3!)!+4!)/sqrt(67)' = 3.14159265358979323957 = pi + 0.00000 00000 00000 00111
This can be rewritten to use only 8 digits instead of the 9 digits from 1 through 9:
'LN((7!+2*5!)^3+6!+4!)/sqrt(67)'
On the HP200LX, this gives out 3.141592653589793, also matching the machine's builtin approximation.
Regards,
Gerson.
