www.jeffcomputers.com/projects

Background Facts-Egyptians were the first society that had written records of pi dating as far back as 1650 BCE. They calculated it as 3.16, about 1% off of the true value. Pi is used everywhere from astronomy to probability to the physics of sound and light. It has been calculated to over 51 billion digits (51,000,000,000). A Japanese man recited 42,000 digits from memory in just over nine hours.  Most ancient people used 3 as the ratio of  a circle’s circumference to its diameter. In the 2^nd century BC Hipparachus created two polygons, one within a circle and one outside. And then he computed an extensive table of chords and proposed the value pie=377/120. One of the most interesting calculations was done by Jamshid Masud al-Kashi in 1424. He based his calculations on a 805306368-gon (3*2²⁸) which was correct to 16 decimal places.

Information on this project can be obtained at www.jeffcomputers.com/projects/pi

PiCount.exe counted the number of times each digit appears in the file    +/- 1

0-999440 1-999333 2-1000306 3-999964 4-1001093 5-1000466 6-999337 7-1000208 8-999814 9-1000040

Decimal portion of pi (pi.dat)

14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200

PiBinary.exe converted pi into binary based the digit. If > 4 then 1 else 0.

00011011011111000101010001001110011001101101101100110011010011000110100101100111110100010100000101111000101110001000110101010010111011000010101100100101000101001000010010110000111110010010111010001011000110011111110000100101110100011111001101000010100110111110001000110001000110100001010101000100001010011100110100111101011010010011010101001010101001111011001000000010010110001110001000111010010010100001101001111111011001001100101010010011000100110101001001111010111101011111010011000110101000010100110011001000011110001100001010101100010101010001111010010011010100101101001111001011010101111100100000

Random numbers generated by random.exe  (random.txt)

03329082669113583069277280392491704504024310661975104459076344090622309955979746964357694253810075631726821008114747581871739500324371007863783885380167097833045320720500625074186905524162850839690523450350555483340164307959907757365225333757676948215064100469749253262377307669817603840780440958119127245135862782743597627530861777809006139380439812144359578183959984311647251222314472431356966938747685449033472769284382478610288885993696602045119606335815977677246790162300626457758302441250197101506288686843321387192220389228627324605584655443841974641785995870867548269261712412735858079817684097

Did a PiCount.exe on the random file generated   +/- 1

0-1000806 1-999331 2-1000757 3-1001024 4-999727 5-1000248 6-999899 7-998505 8-1000103 9-999600

Random file converted into binary  (Randombinary.txt)

00001010111000110011011010010010100100000000110111000011011000010100001111111101110011110010100011100101100001000101110110101100000010001110110111010011011100001000100100101010011101100010110101110100010010111010000010001111101111011001000111111101001010000011101010010011001111101100100110000111001001001001110110100111101100110111101001001010001100000011111010111110000101010000000010000011111101101111001000010111010010011100011111110111100001001101001101111111001110010000101011111000000010011000101011111100000011010000011001101000101110111000100110100111111110111101011010100000101111011101110011

Pi binary.txt picount.exe

0-5000136 1-4999866

random binary picount.exe

0-5001645 1-4998356

Bibliography

http://www.pithemovie.com/

p89-96

http://www.hepl.phys.nagoya-u.ac.jp/~mitsuru/pi-e.html    not fully school appropriate, but has PI as data