# Pi Day 2024

Tagged:`Math`

/
`TheDivineMadness`

/
`ϜΤΦ`

So… it’s Pi Day. Again. Didn’t we do this last year?

## The Annual Tribal Observation

In honor of 3/14, as is the custom of our tribe:

\[\pi = 3 + \frac{1}{7 + \frac{1}{15 + \frac{1}{1 + \frac{1}{292 + \cdots}}}}\]You can read off the continuands from the columns of this image, reading in binary from
left to right ^{[1]} ^{[2]}:

Dropping at the large continuand 292, we get the extremely good convergent
$\pi = 355/113 = 3.14159292\cdots$, accurate to 7 significant figures (6 decimal places).
The first known source for using this is the Chinese astronomer Tsu Ch’ung-Chih, in the
5th century CE. ^{[3]}

## The Weekend Conclusion

But most importantly: *Ceterum censeo, Trump incarcerandam esse.*

## Notes & References

1: EW Weisstein, “Pi Continued Fraction”, *Wolfram MathWorld*, retrieved 2024-Mar-14. ↩

2: NJA Sloane, “OEIS 001203: Simple continued fraction expansion of Pi”, *Online Encyclopedia of Integer Sequences*, retrieved 2024-Mar-14. ↩

3: M Gardner, *New Mathematical Diversions from Scientific American*, Chapter 8, “The Transcendental Number Pi”, pp 91-102, New York: Simon & Schuster, 1966. ↩

*Published*Thu 2024-Mar-14

## Gestae Commentaria

Comments for this post are closed pending repair of the comment system, but the Email/Twitter/Mastodon icons at page-top always work.