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What is Pi? Pi, Greek letter (π ), is the symbol for the ratio of the circumference of a circle to it's diameter. It is approximately 22/7 and is usually calculated to 3 digits, 3.14. With the use of computers, Pi has been caculated to over 51 billion decimal places. Pi is an irrational number meaning it will repeat infinitely without repeating. The symbol for pi, p, was first used in 1737 by William Jones, but was popular after it was adopted by the Swiss mathematician Leonhard Euler in 1737. |
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Επιστροφή στη σελίδα του π. | |||||||||
Uses of Pi Pi has many useful uses and is very easy to use. With Pi, you can calculate the circumference or area of a circle, sphere, cyinder, cone, or any polygon with a circular shape The sequence 314159 re-appears in the decimal expansion of Pi at place 176451. This sequence appears 7 times in the first 10 million places (not including right at the start) Pi does not have to be written in decimals, the binary of pi (basic computer language) is: 11.0010010000111111011010101000100010000101101000110000100011010011 Pi occurs in hundreds of equations in many sciences including those describing the DNA double helix, a rainbow, ripples spreading from where a raindrop fell into water, superstrings, Einstein's Gravitational Field Equation, normal distribution, distribution of primes, geometry problems, waves, navigation. You can do lots more stuff with Pi when it is in binary format - like drawing weird pictures of it, or even listening to it. As Pi has an infinite number of places, it is quite possible that any message you liked could be heard somewhere in Pi. It has even been suggested it contains the VOICE OF GOD. In Carl Sagan's book 'Contact' the places of Pi (in base 11) are found to contain a message from the beings that built the universe. Satan does not appear in Pi too quickly: The first time '666' appears is at position 2440 The digits of Pi appear 'random' and yet they describe something essential to the universe - No pattern emerges and yet it is predestined. The sequence of digits has so far passed all known tests for randomness. 'Approximate Entropy' can be used to establish just how random a number is - it turns out that Pi is more random than the square root of 2, which itself is more random than the square root of 3. Occurance of #s: 0 occurs 599963005 times 1 occurs 600033260 times 2 occurs 599999169 times 3 occurs 600000243 times 4 occurs 599957439 times 5 occurs 600017176 times 6 occurs 600016588 times 7 occurs 600009044 times 8 occurs 599987038 times 9 occurs 600017038 times Pi is a 'transcendental' number. This means that it is not the solution to any finite polynomial (eg: lots of numbers added in a series) with whole number coefficients. This is why it is impossible to square the circle |
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· The following are all NEARLY Pi: 101/2 Cube root of 31 666/212 10/p (97 + 9/22)1/4 9/5 + (9/5)1/2 (19 (7)1/2) / 16 (2)1/2 + (3)1/2 1.1 x 1.2 x 1.4 x 1.7 (296/167) 2 en syu ritsu (the circle ratio) |