RPG Superstar 2010 Top 16
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I've found it useful to memorize pi to extensive decimal digits the same way you memorized the alphabet as a child: to the tune of "Twinkle, Twinkle, Little Star".
three-point-one-four-one-five-nine,
two-six-five-three-five-eight-nine. (see? It even rhymes.)
seven-nine-three, two-three-eight, (that is, two to the third is eight)
four-six-two, six-four-three,
three-eight-three-two-seven-nine
(five-oh)-two eight-eight, forty-one, nine.
At one point I had three full verses memorized, which was 120 digits. I stopped at that point, 'cause I figured any more than that and I'd be a geek.
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bit of advice...the Pi sequence doesn't have any zeroes because a zero remainder would end the output and break the string. Only non zero remainders are returned to the division process for continued division and string output so pi is functioning on a reduced numerical set - like the alphabet.
As to Circumference (larger value) divided by diameter (smaller value) equaling pi: when you divide x by y you get c(y)+r if x is greater than y the (c) will output and the remainder (r) will return to division cycle to be divided by y.
A zero meant that the circumference was smaller than the diameter and will now add a zero to the base(x10) so it can be evenly divided by y for a zero remainder. For pi the circumference is always larger which means the remainder of the previous division is always larger than that which is dividing it. A zero output meas the previous remainder was less than y.
The only way you can be an infinite string of output(c) zeroes is if circumference is always less than diameter.
while x/0 = NOT x, 0/y=?
Pi is a string (as in string theory).
bit of advice...the Pi sequence doesn't have any zeroes because a zero remainder would end the output and break the string. Only non zero remainders are returned to the division process for continued division and string output so pi is functioning on a reduced numerical set - like the alphabet.
The first 100 decimal digits of pi are 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679
Notice anything you claim is missing?
I've found it useful to memorize pi to extensive decimal digits the same way you memorized the alphabet as a child: to the tune of "Twinkle, Twinkle, Little Star".
three-point-one-four-one-five-nine,
two-six-five-three-five-eight-nine. (see? It even rhymes.)
seven-nine-three, two-three-eight, (that is, two to the third is eight)
four-six-two, six-four-three,
three-eight-three-two-seven-nine
(five-oh)-two eight-eight, forty-one, nine.At one point I had three full verses memorized, which was 120 digits. I stopped at that point, 'cause I figured any more than that and I'd be a geek.
:D
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bit of advice...the Pi sequence doesn't have any zeroes because a zero remainder would end the output and break the string. Only non zero remainders are returned to the division process for continued division and string output so pi is functioning on a reduced numerical set - like the alphabet.The first 100 decimal digits of pi are 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679
Notice anything you claim is missing?
you can get a zero output - you just cant get it from a zero remainder.