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Pi squared is nearly 10

mihai.page

11–20 of 55 posts

Re: Pi squared is nearly 10

#13
post #8

I remember discovering that pi x 10^7 is very close to the number of seconds in a year while at uni. One of my tutors was convinced this had to be more than coincidence, but I always figured it was just chance and a nice but sometimes useful shortcut...

You might be able to send someone down an amusing (to observers) rabbit hole of wrongness by telling them it is not exact because Earth’s orbit is not perfectly circular.

Re: Pi squared is nearly 10

#15
post #13
post #8

I remember discovering that pi x 10^7 is very close to the number of seconds in a year while at uni. One of my tutors was convinced this had to be more than coincidence, but I always figured it was just chance and a nice but sometimes useful shortcut...

You might be able to send someone down an amusing (to observers) rabbit hole of wrongness by telling them it is not exact because Earth’s orbit is not perfectly circular.

You're such an evil person :D

Re: Pi squared is nearly 10

#16
post #8

I remember discovering that pi x 10^7 is very close to the number of seconds in a year while at uni. One of my tutors was convinced this had to be more than coincidence, but I always figured it was just chance and a nice but sometimes useful shortcut...

Get enough numbers, accept wide error bars, and some of them are going to overlap.

Re: Pi squared is nearly 10

#17
post #7
post #3

The author wants tau=2*pi, but in the Greek alphabet, tau has one vertical stroke, and pi has two. So, visually in Greek, pi=2*tau would seem an improvement. Oh, well.

pi's prevalence instead of tau is one of the strongest indicators that we live in a suboptimal timeline.

Then, convert the digits of pi to text to find how to achieve interdimensional travel to reach the optimal timeline.

Re: Pi squared is nearly 10

#18
I like the 4-5-6 theorem:

    pi^4 + pi^5 = e^6
Well, to five decimal places, anyway. Some other good ones:

    e^pi - pi = 20

    sqrt(2) ln pi = phi
There are also famous "almost integers" such as this one discovered by Ramanujan:

    e^(pi sqrt(163))
Which is an integer to 12 decimal places.

Edit: I just remembered I have public JupyterLite notebooks for both of these:

https://notebooks.oranlooney.com/lab/index.html?path=fake_ma...

https://notebooks.oranlooney.com/lab/index.html?path=heegner...

Re: Pi squared is nearly 10

#20

The second fact, pi^2 ~= g, is famous enough that it has a separate section in Wikipedia [1]. [1] https://en.wikipedia.org/wiki/Mathematical_coincidence#Gravi...

And https://xkcd.com/1047/

I don’t see pi^2 ~= g in there… did I miss it somewhere?
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