|
| If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed. To start viewing messages, select the forum that you want to visit from the selection below. |
|
|||||||
| Register | FAQ | Members List | Calendar | Mark Forums Read |
![]() |
|
|
LinkBack | Thread Tools | Search this Thread | Display Modes |
|
|||
|
Quote:
__________________
Some try to tell me, thoughts they cannot defend,... - Moody Blues. |
|
||||
|
Quote:
Also, pi does not equal the circumference of a circle. Rather, it equals the circumference divided by the diameter. As for the history of human involvement with pi, Archimedes was the first person to examine pi extensively. He was quickly followed by others, including Liu Hui (265 AD), Zu Chongzhi (480 AD), Madhave (1400), alKashi (1424), van Ceulen (~1600), Gregory and Leibniz (1600s). It wasn't until 1706, however, that John Machin became the first person to compute 100 decimals of pi. Using advanced mathmatics (various series algorithms) and the power of computers (1 TB RAM at 2 TOps (trillion operations per second)) in 2002, the current record was set. It calculated pi to 1.241 Trillion decimals. Another approach calculated the quadrillionth bit of pi; however, it didn't calculate the ones between the current record and that bit.
__________________
I am Mugs, of the Alien clan of Usa, Nordamerica, a Terran, of Sol. Perception isn't reality. It's merely an abstraction thereof, and quite often not a very good one at that. I am human. Fully human. |
|
||||
|
Just because this is BAUT, and I like talking to Tensor: pi is the ratio of the circumference of the circle to the diameter. That other number is also famous, for having "67" appear twice in the first twenty-five digits, but no "2" and no "4".
|
|
|||
|
Quote:
At least I got the link right.
__________________
Some try to tell me, thoughts they cannot defend,... - Moody Blues. |
|
||||
|
Quote:
Or... ones and zeros far as I can see. On-line Encyclopedia of Integer Sequences: A127266, Expansion of 1/Pi in base 2
__________________
0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0.... |
|
||||
|
As soon as I see the word 'Base' That seems to indicate a dramatic change in the expression of numbers... ie., I am happy with the metric system. After that last post... the blinds have come down, the light turned off. My head hurts...Oh my.
|
|
||||
|
There's also radians.
A measure of angle where instead of 360 degrees in a circle there are 2pi radians in a circle. Memory of this may have contributed to the OP question.
__________________
Measure once. Cut twice. Power tools are fun. |
|
||||
|
I quickly scanned the other posts, and I saw that many of you stated that pi is a ratio of circumference to diameter, that of course is true, but it also gives the area of a circle in pi x r^2 = A
__________________
The first principle is that you must not fool yourself - and you are the easiest person to fool. ~~~ Richard Feynman ~~~ There is no harm in doubt and skepticism, for it is through these that new discoveries are made. ~~~ Richard Feynman ~~~ |
|
||||
|
This has already been pointed out, but pi is not 22/7. 22/7 is a rough approximation of pi, "good enough for rock 'n roll" as we sometimes say. But it is not the same. Pi never comes to a repeating pattern, but 22/7 does. Pi is "irrational". Phi is also irrational, so it can't be expressed as a ratio of two integers.
__________________
As above, so below |
|
|||
|
That must have been time consuming. When I get my first time machine I want to print the first billion digits of pi (I guess about 30 to 40 cases of paper) and leave them stacked in his living room during the night after he finished his hand computation.
|
|
||||
|
Quote:
Don't know the method. It was once pointed out to him he had a mistake in about the 50th page (of 70 or so), and he took it pretty much as "oh well". (I forget the details, sorry, it was a while ago that I read this.)
__________________
Measure once. Cut twice. Power tools are fun. |
|
||||
|
You might be thinking of Daniel Tammet, author of "Born on a Blue Day: Inside the Extraordinary Mind of an Autistic Savant." Tammet has recited the value of Pi without error to the 22,514th degree. He tends to see consistent shapes and colors representing numbers. He also learned to converse in Icelandic in a week. From his book it appears that he tends to think in terms of analogy as well as literally. Tammet has synesthesia and autism but has manged to also develop excellent communication skills, which is very rare.
__________________
"Insignificant molehill sometimes more important than conspicuous mountain." - Charlie Chan |
|
|||
|
How to calculate pi...
It's an infinite series pi = 4*(1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 ....) If you want to do the maths yourself. The real reason computers are forced to calculate pi is not that we need to know pi to a gazillion places but that it is a realistic comparison in the computing speeds of various machines.
__________________
Does earth plug a hole in Heaven or Heaven plug a hole in Earth? -Peter Gabriel |