Pi tastic


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My son's extra credit presentation for Honors Algebra 2 - Pi Appreciation Day 3.14.12

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Pi tastic

  1. 1. Pi-tastic
  2. 2. Yumm….
  3. 3. Did You Know?Albert Einstein (oneof the greatestphysicists of all time)was born on pi day.Bet you didn’t knowthat.
  4. 4. Pi is super longIf you were to print 1 billion digits of pi it wouldstretch from New York City to Kansas. That’s along piece of paper.
  5. 5. We use pi more than you thinkPi occurs in hundreds of equations in manysciences including those describing the DNAdouble helix, a rainbow, ripples spreading fromwhere a raindrop fell intowater, superstrings, general relativity, normaldistribution, distribution of primes, geometryproblems, waves, navigation and much more.
  6. 6. You think memorizing 100 digits is hard?Hiroyuki Goto of Tokyo, Japan holds the worldrecord for most memorized digits of pie with42,195
  7. 7. “What do you get if you divide the circumference of a jack-o-lantern by its diameter?Pumpkinπ
  8. 8. Most accurate pi calculation to date Its hard to imagine a trillion of anything (its a million million), but Shigeru Kondo calculated 5 trillion digits of pi in August of 2011... and then blew that away with 10 trillion digits!
  9. 9. Pi hasn’t been around foreverPi has been studied for 4000 years; however,the actually pi symbol has only been in use for250 years.
  10. 10. Euler’s relation to piOur “Favorite Friend” Euler was one of thefirst mathematicians to use the symbol for piin 1737.
  11. 11. Common misconception of circlesMost people would say that a circle has nocorners, but it is more accurate to say that ithas an infinite number of corners.
  12. 12. Babylonian mathematiciansThe first signs of pi were in Babylon in 2000b.c. They used the fraction 25/8 or 3.125 aspi, we’ve come a long way since then.
  13. 13. Numbers in PieThe first million decimal places of pi consist of99,959 zeros, 99,758 1s, 100,026 2s, 100,2293s, 100,230 4s, 100,359 5s, 99,548 6s, 99,8007s, 99,985 8s, and 100,106 9s.
  14. 14. Wasted life??Ludolph van Ceulen (1540-1610) spent most of his lifecalculating the first 36 digits of pi (which were namedthe Ludolphine Number). With today’s moderntechnology it would take someone about 2 minutes tocalculate 36 digits of pi.
  15. 15. Fun FactPi was first rigorouslycalculated by one of thegreatest mathematicians ofthe ancient world,Archimedes of Syracuse(287-212 B.C.). Archimedeswas so engrossed in his workthat he did not notice thatRoman soldiers had takenthe Greek city of Syracuse.When a Roman soldierapproached him, he yelled inGreek “Do not touch mycircles!” The Roman soldiersimply cut off his head andwent on his business.
  16. 16. Circumference is never exactWe can never truly measure thecircumference or the area of a circle becausewe can never truly know the value of pi. Pi isan irrational number, meaning its digits go onforever in a seemingly random sequence