I don't know how many out there are aware of the controversy about pi being the "right" choice for the circle mathematical constant. If you don't know about it yet, the nice video below by Vi Hart will update you with some fun. Here is some more thorough stuff - as far as it goes, anyway. It's called "the Tau manifesto", Tau being, well, two times pi. And, unlike this, the Tau thing is meant to be for real.

I have what seems like a partial solution to pi.

ReplyDelete(((10e)(pi - 1) * x) / 2) is a linear equation, but it is a function of pi and e. Furthermore, it produces almost exact sequences of single digits on either side of the decimal point (actually including two places below the decimal).

All of these numbers seem to be a product of 29.1072619711..., which is not a direct product of pi, although it might be a kind of pi limit function. I want to call it the "ingent" after it's ability to sequence numbers based on pi and e (also it may hold a kind of contingent key to the pi puzzle).

Interestingly, numbers produced are like the following in "y =":

29.107...

58.215...

87.322...

116.43...

145.54...

174.643...

Notice the numbers just before and just after the decimal place. They are apparently sequences, or near sequences!

After the repetition at 174.643 the sequence continues, as though this particular number is capable of sequencing pi. Evidently the only exceptions to the sequencing are single-digit "skips." Furthermore, these skips occur by odd-number increments for the first four steps, then revert to the number eight. The series 802357 alternates with 801357 through the skips, showing that the product borders on being highly rational.

It would be interesting if this were a step in resolving the limit function for pi, if such exists.