Pi^0 is exactly 1.
Pi squared is nearly 10
21–30 of 55 posts
Re: Pi squared is nearly 10
#22Pi^0 is exactly 1.
You could be on something there.
Re: Pi squared is nearly 10
#23I 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...
It cannot be anything but coincidence. While 365.25 days in a year is physics, a day consisting of 86,400 seconds is an entirely arbitrary human construct.
Re: Pi squared is nearly 10
#24The 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.
Millions of years from now, a far off alien race will discover the remnants of Earth, go through our maths knowledge, and they will slap their foreheads because we chose pi rather than tau.
Re: Pi squared is nearly 10
#25pi^2 ~ 10, well known to anyone who used slide rules.
Re: Pi squared is nearly 10
#26987654321 / 123456789 = 8 (to the 7th decimal place) is another nice one
Re: Pi squared is nearly 10
#27at this rate, pi square is close to 'g'
Re: Pi squared is nearly 10
#28I 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.
Hah, that would be hilarious
Re: Pi squared is nearly 10
#29More advanced slide rules typically have a set of “folded” scales, that can sometimes save a calculation from ending up off scale. In theory, these should be offset by half the scale length, i.e. sqrt(10). However, since the folded scales also offer a convenient way to multiply with the offset factor, most slide rules offset them by π instead, since it’s almost the same as sqrt(10), and multiplication by π is a more useful thing to have around.
Re: Pi squared is nearly 10
#30I 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...
I always liked the fact that 10! (10 factorial) is exactly the number of seconds in six weeks.
6 weeks * 7 days * 24 hours * 60 minutes * 60 seconds:
6 * 7 * 24 * 60 * 60
= 6 * 7 * (3 * 8) * (4 * 5 * 3) * (3 * 2 * 10)
= 6 * 7 * 3 * 8 * 4 * 5 * (3 * 3) * 2 * 10
= 6 * 7 * 3 * 8 * 4 * 5 * 9 * 2 * 10
= 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10