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Fibonacci

Fibonacci. Number man. Fibonacci bunnies. 1.At the end of the first month, they mate, but there is still one only 1 pair. 2.At the end of the second month the female produces a new pair, so now there are 2 pairs of rabbits in the field.

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Fibonacci

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  1. Fibonacci Number man

  2. Fibonacci bunnies 1.At the end of the first month, they mate, but there is still one only 1 pair. 2.At the end of the second month the female produces a new pair, so now there are 2 pairs of rabbits in the field. 3.At the end of the third month, the original female produces a second pair, making 3 pairs in all in the field. 4.At the end of the fourth month, the original female has produced yet another new pair, the female born two months ago produces her first pair also, making 5 pairs

  3. Who was Fibonacci • The “greatest European mathematician of the middle ages”, his full name was Leonardo of Pisa, or Leonardo Pisano in Italian since he was born in Pisa

  4. The Pattern…….. 0+1=1 1+1=2 2+1=3 3+2=5 5+3=8 8+5=13 13+8=21 etc. etc. etc.

  5. Where does Fibonacci Fit in Nature The Fibonacci numbers are Nature's numbering system. They appear everywhere in Nature, from the leaf arrangement in plants, to the pattern of the florets of a flower, the bracts of a pinecone, or the scales of a pineapple. The Fibonacci numbers are therefore applicableto the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind.

  6. Pineapple Fibonacci • The Fibonacci pattern fits into pineapple like this: It fits into a pinecone likethis:

  7. Fibonacci daisies • Plants do not know about this - they just grow in the most efficient ways.  Many plants show the Fibonacci numbers in the arrangement of the leaves around the stem.  • Some pine cones and fir cones also show the numbers, as do daisies and sunflowers. • Sunflowers can contain the number 89, or even 144. • Many other plants, such as succulents, also show the numbers. • Some coniferous trees show these numbers in the bumps on their trunks. • Palm trees show the numbers in the rings on their trunks.

  8. Pascal’s triangle • This is Pascal’s triangle Hey, Pascal use’s Fibonacci too! 1 2 3 5 8 13 etc. etc. etc.

  9. logarithmic spiral Equiangular Spiral Equiangular spiral (also known as logarithmic spiral, a Bernoulli spiral) describes a family of spirals. It is defined as a curve that cuts all radii vectors at a constant angle. A spiral can be created by a drawing an arc through a series of squares that grow in size by following the Fibonacci sequence (1x1, 2x2, 3x3, 5x5, 8x8, 13x13).

  10. Credits • Created by Kaden • Helped by Craig and Hugo.

  11. Bibliography • http//www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html • http://britton.disted.camosun.bc.ca/fibslide/jbfibslide.htm • http://www-groups.dcs.st-and.ac.uk/~history/Curves/Equiangular.html

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