# Pi Day 3.14159…

We at CatSynth once again, celebrate Pi Day on its three-digit approximation, March 14 (3-14).

We start with some interesting facts about the digits of pi. We presented statistics about the distribution in our 2007 Pi Day post. From super-computing.org, we present some interesting patterns:

01234567890 first occurs at the 53,217,681,704-th digit of pi.
09876543210 first occurs at the 42,321,758,803-th digit of pi.
777777777777 first occurs at the 368,299,898,266-th digit of pi.
666666666666 first occurs at the 1,221,587,715,177-th digit of pi.
271828182845 first occurs at the 1,016,065,419,627-th of digit pi. (that’s e for those who haven’t memorized it)
314159265358 first occurs at the 1,142,905,318,634-th digit of pi.

Last year, we showed the relationship to the Gamma function, and of course to Euler’s identity, which links pi surprisingly closely to the imaginary constant i and the number e. But it is also surprisingly easy to generate pi from simple sequences of integers. Consider the Madhava-Leibniz formula for pi:

Thus one can generate pi from odd integers and simple arithmetic. Another formula only involving perfect squares of integers comes from the Basel problem (named for the town of Basel in Switzerland):

In recognition of Pi Day, the U.S. House of Representatives passed a resolution this week:

And thus the sad history of pi in politics as exemplified by the Indiana Pi Bill of 1897 is put to rest. Now onto erasing the sad history of science and politics in general of the past eight years…

# ICMC late concert on election night

Imagine yourself an ordinary New Orleans bus driver, doing your normal night route on St. Charles. Just two or three passengers, quiet. Maybe even a little quieter than usual given that many people are home watching election returns. Then suddenly you come to stop where twenty or so weird people with laptops and beeds get on the bus. That’s what happened to a bus driver last night when participants at the ICMC conference boarded to attend the offsite late-nite performance at the aptly named Columns Hotel.

The election so far went as well as one could expect at 11PM, with headlines suggesting things are about to change for the better – a takeover of the House, Virginia is the new Florida (with George “macaca” Allen trailing), and social conservatives (i.e., the littering religious right) lost a trifecta on abortion, stem cells and gay marriage. Plus, I get to watch all of this from the home (and district) of William “Frozen Assets” Jefferson.

So what better way to celebrate than with experimental electronic improv music in an old hotel parlor? First on the program was Pink Canoes, who hail from the Bay Area. I was acquainted with several members of the group by name only (and vice versa), so it was quite ironic to meet in person in New Orleans. Musically, they played free improvisation with guitars, effects pedals, analog synths and circuit-bend instruments, similar to some of the group improvisations I have done with friends in Santa Cruz. I get the sense that many of the academics at the conference hadn’t heard much of this sub-genre of electronic music. Personally I would like to see more hybridization among free electronic improv, traditional computer music, and even things like the jazz duo that was also playing in the hotel at the same time.

Pink Canoe was followed by the due Andre Castro + Martin Aeserud, featuring laptop and “prepared” acoustic guitar. I found the guitar quite interesting to watch as well as listen to, and gives me some ideas for projects with the guitar that’s sitting in pieces on the floor back home.

More on the conference later.