π = 3.

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This is why I feel confident identifying myself as a Laztheist:  If there were a ghawd, Pi would be 3.

If this means circles wouldn't exist in my universe, I'm okay with that.  We'll do just fine with rugby and football.

If pi were three, circles would be hexagonal. Which is all well and good, except riding in a car would be a very bumpy experience.

If you take 7 pennies and arrange them in a circle of 6 pennies with the 7th penny in the middle of the circle, the fit is exact. Three pennies will precisely surround half of the central penny, and the other three will precisely surround the other half of the inner penny. (yes, any coin will work - you just need 7 that are all the same size. Pennies require the least capital investment)

While there is little grace and beauty in the decimal representation of π, unless randomness happens to turn you on, there are a large number of infinite series of integer fractions (ratios of 2 integers) that are quite lovely and easy to remember and converge to some multiple of π. Probably the most famous, and the simplest and easiest to remember is the Leibniz formula.

https://en.wikipedia.org/wiki/Leibniz_formula_for_pi

It looks a lot better on the wikipedia page than it would look if I typed it here. Please take a look. It is right at the beginning of the article.

While it is a lovely formula, and does converge to π/4, it does so extremely slowly - it takes over a million terms to get a value for π/4 accurate to 6 decimal places. There are other series that converge much more rapidly. They are still pretty in the sense that they are integer fractions generated by a pretty simple formula, but those series are not nearly as simple as the Leibniz formula.



Edited 1 time(s). Last edit at 03/14/2024 11:41PM by Brother Of Jerry.

https://en.wikipedia.org/wiki/List_of_formulae_involving_%CF%80


The real story here is that you can't just make up something to satisfy theological dogma (i.e. the Bible says π = 3) and just ignore all of the physical and mathematical evidence that says otherwise.


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https://indianacapitalchronicle.com/2023/03/13/pi-from-the-sky/

Purdue University mathematics professor Clarence Waldo was only at the Indiana Statehouse to lobby for the school during budget talks in February of 1897. That’s when he happened to witness House Bill 246 – to legally change the value of the number pi to 3.2 – pass its third and final reading in the General Assembly’s lower house.

“Imagine [my] surprise when [I] discovered that [I] was in the midst of a debate upon a piece of mathematical legislation,” he later wrote.

After the vote, a legislator turned to Waldo, who was also the president of the Indiana Academy of Science, and offered to introduce him to the man behind the bill.

The professor declined. His reasoning? “I’m already acquainted with as many crazy people as I care to know.”

The crazy person in question was Edwin Goodwin, a country doctor and amateur mathematician living 20 miles outside of Evansville. Goodwin was obsessed with solving what others had already proven to be an unsolvable problem: using only a standard compass and straightedge, can you construct a square with the same area as a given circle?

The reason it’s impossible: the value of pi (π), which is derived from the ratio of the circumference of any circle to its diameter. It’s 3.14159265… with digits continuing on forever in a random pattern. For that reason, it’s often approximated as 3.14, and why many math nerds celebrate Tuesday as Pi Day.

Edwin Goodwin claimed to have conquered the impossible circle and square challenge, but it required “changing” the value of pi. He claimed God had done just that in March of 1888, directly revealing to him its true value – 3.2 – which made solving the problem possible.

It was nonsense, of course, but that didn’t stop Goodwin from convincing Taylor Record, his state representative, to introduce a bill “for an act introducing a new mathematical truth and offered as a contribution to education to be used only by the State of Indiana free of cost by paying any royalties whatever on the same…”

Yes, you read that right: in exchange for declaring that the value of pi was what Goodwin said God told him it was, Hoosiers – and only Hoosiers – could use it in the state’s textbooks for free! (Of course there was no legal way to charge people for using a number, even back then.)


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Edited 1 time(s). Last edit at 03/15/2024 12:39AM by anybody.

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