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Fibonacci

Fibonacci. By Andréa Rivard. Leonardo Fibonacci . Born in Italy c.1170 Arabic numerals, algorithms and algebraic methods, and a facility in fractions Fibonacci Sequence Discovered it by studying rabbit regeneration. http://www.nndb.com/people/922/000095637/fibonacci-2.jpg.

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Fibonacci

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  1. Fibonacci By Andréa Rivard

  2. Leonardo Fibonacci • Born in Italy c.1170 • Arabic numerals, algorithms and algebraic methods, and a facility in fractions • Fibonacci Sequence • Discovered it by studying rabbit regeneration http://www.nndb.com/people/922/000095637/fibonacci-2.jpg

  3. More on Fibonacci • Grew up in North Africa • Published the book Liber Abaci • Fun fact! Liber Abaci means the book of abacus but the book has nothing to do with the abacus • This problem was featured in his book: Beginning with a single pair of rabbits (one male and one female), how many pairs of rabbits will be born in a year, assuming that every month each male and female rabbit gives birth to a new pair of rabbits, and the new pair of rabbits itself starts giving birth to additional pairs of rabbits after the first month of their birth?

  4. The Fibonacci Sequence • 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 • Each number is a sum of the two numbers preceding it • Appears throughout the “biological realm”, music, etc http://www.murderousmaths.co.uk/books/pix/cmm803.gif

  5. The Rabbits • Each number is a sum of the two previous numbers because the number of rabbit pairs in a previous generation plus all of the newborn pairs is equal to all of the rabbits who are more than two months old • Fibonacci’s rabbits never die http://www.quabbinqualitypetsupplies.com/sitebuildercontent/sitebuilderpictures/rabbits.jpg

  6. Fibonacci Spiral • The spiral appears in nature, often in the way leaves grow or the way seeds grow • They usually have consecutive Fibonacci numbers • 8 clockwise, 13 counter-clockwise, 13 counter-clockwise, 21 clockwise, etc. • Minimize space and energy uses

  7. http://upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Mammilaria_gigantea.jpg/757px-Mammilaria_gigantea.jpghttp://upload.wikimedia.org/wikipedia/commons/thumb/d/d0/Mammilaria_gigantea.jpg/757px-Mammilaria_gigantea.jpg http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/coneflower.jpg http://farm1.static.flickr.com/17/91546600_4b65896f0a.jpg?v=0 http://farm4.static.flickr.com/3094/2736846377_ed43bfdfa0.jpg?v=0 www.googolpower.com

  8. Variations on the Fibonacci Sequence • Can start with any number, as long as it follows the pattern • 3, 3, 6, 9, 15, 24……Fibonacci sequence • .1, .1, .2, .3, .5, .8……Fibonacci sequence

  9. “Fibs” • Poems that follow the sequence • Six lines • Created by Greg Pincus • Example: One Small Precise, Poetic, Spiraling mixture Math plus poetry yields the Fib

  10. Works Cited • "Leonardo Fibonacci." Columbia Encyclopedia. EBSCOhost. Grand Junction, CO. Central High School.18 May 2009 <http://web.ebscohost.com/src/>. • Choi, Charles Q. "Fibonacci Fandango." Scientific American EBSCOhost. Central High School, Grand Junction, CO. 18 May 2009 <http://search.ebscohost.com/login.aspx?>. • Entin, Carli. "We're Not Fibbing!" Scholastic MathEBSCOhost. Central High School, Grand Juncion, CO. 18 May 2009 <http://search.ebscohost.com/login.aspx?>. • "The (Fabulous) Fibonacci Numbers." Science NewsEBSCOhost. Central High School, Grand Junction, CO. 18 May 2009 <http://search.ebscohost.com/login.aspx?>. • Fibonacci sequence. • Gale Encyclopedia of Science. Ed. K. Lee Lerner and Brenda Wilmoth Lerner. 4th ed. Detroit: Gale Group, 2008. • Scott, Kim. "Fibonacci's World." Discover Apr. 2007: EBSCOhost. Central High School, Grand Junction, CO. 19 May 2009 <http://search.ebscohost.com/login.aspx?>. • "Do Plants Know Math?" USA Today Magazine June 2003: EBSCOhost. Central High School, Grand Junction, CO. 19 May 2009 <http://search.ebscohost.com/login.aspx?>.

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