200 years ago you wouldn't expect the period of the rotation of the moon on it's axis is connected to the period of it's orbit. But it is exactly the same for good reason!
Quote from: GoForSmoke on Dec 09, 2012, 10:15 pmPi is an irrational number (can't be expressed as a ratio of integers) regardless of base. Exactly. Or alternatively put it, a result of two incommensurate periods. I wonder why there's not as much fascination to other irrational numbers such as square root of 2 being 1.4142136... It's every bit as practical as pi. If you see some independent variable change by a factor of 2 but your dependent variable only changing about 40%, you are likely looking at a y=sqrt(x) situation. I routinely cancel square of pi with gravity g since their numerical values only differ by less than 1%. There's no hidden message here. Just numerical coincidence. I also hate the calender. Some irrelevant initial conditions have set the period of earth rotation, revolution around sun and moon revolution around earth and we are trying to make sense by hodgepodging these three incommensurate periods together into various calenders even to this day. The crazy leap day, some once per 4 years but not per 100 years but again per 400 years and again some stuff 8000 year you will have to do what?!
Pi is an irrational number (can't be expressed as a ratio of integers) regardless of base.
The moon's orbit and rotation on it's axis has the same time period, because of it's shape. Gravity causes it to do both at the same speed. It is shaped like a football a little, not a perfect sphere.
If this does not prove the existence of god ...
http://xkcd.com/217But why does e^(pi*i)=-1? I think we understand that. At least some of us do. But not the 3_4_5 thing and all the rest. It's a mystery. It requires belief not proof. It's philosophical. It can't be explained. There's no reason for that pattern to be there. You have to admit at least that it's interesting.