sign in sign up
<<
Home , Fibonacci

Believe It or Not : The Fibonacci Sequence Printing: Natalie Alfano, Amy Dittebrand, Clare Dubecky, Charlie Jindra This poster is 48” wide by 36” high. It’s designed to be printed on a ABSTRACT THE EXAMPLES IN REAL LIFE large The Fibonacci sequence is a mathematical series in When dividing two successive Fibonacci , their Spiral can be found many places in nature which each is determined by the sum of ratio approaches the golden ratio. •Pattern of seeds on a sunflower the previous two numbers. It was invented by 1 , 2 , 3 , 5 , 8 , 13 , 21 , 34 , 55 , 89 … •Rabbits tend to breed according to the Customizing the Content: Leonardo Fibonacci and has been found to 1 1 2 3 5 8 13 21 34 55 Fibonacci sequence accurately predict growth in living things. From the The placeholders in this •Most flowers have a as the Fibonacci sequence comes the Golden Ratio, = 1 , 2, 1.5, 1.67, 1.6, 1.625, 1.615, 1.7, 1.618, 1.6181… number of petals they have formatted for you. which can be used to calculate any Fibonacci •Many snail and sea shells are in the shape of number. We will explore its use in , placeholders to add text, or click ϕ = 1.618034 Fibonacci spirals where the golden ratio is used to solve various •Many pine cones are also in the shape of an icon to add a table, chart, enumeration problems, and in nature, where Fibonacci spirals SmartArt graphic, picture or seemingly unpredictable growth of plants, foods, and even animal breeding, can be determined all multimedia file. by the same sequence of predictable numbers. Using the golden ratio to calculate any Fibonacci Mile to kilometer conversion is very close number: to the Fibonacci sequence. T

푛 from text, just click the Bullets ϕ푛−(1− ϕ) For example, BACKGROUND 푥푛 = √5 8 mi. = 12.87 km. button on the Home tab. Leonardo Fibonacci was an Italian mathematician from For example, to find the sixth Fibonacci number: Very close approximation to 13, the next If you need more placeholders for , born in 1175. When he was younger he traveled number in the sequence. around the Mediterranean Coast, where he met with ϕ6−(1− ϕ)6 titles, many merchants, one of whom was his father, Bonacci. 푥 = = 8 6 √5 make a copy of what you need and As he grew up, he came to popularize the Hindu-Arabic numeral system through a book he wrote called Liber drag it into place. PowerPoint’s Abaci, translated as The Book of Calculations. Smart Guides will help you align it In , Fibonacci solved a problem concerning with everything else. rabbit population growth. Assuming an ideal situation Want to use your own pictures concerning the growth, he created a sequence of WORKS CITED numbers in which following generation by generation instead of ours? No problem! Just would create the sequence. This was later coined the “Fibonacci Sequence”. Math is Fun.com. Web. https://www.mathsisfun.com/numbers/fibonacci-sequence.html Fibonacci sequence. right Reich, Dan. The Fibonacci Sequence, Spirals, and the Golden Mean. Temple University, Department of Mathematics. Web. https://math.temple.edu/~reich/Fib/fibo.html Change Picture. Maintain the Although the earliest known usage of the sequence Hom, Elaine J. “What is the Fibonacci Sequence?”. LiveScience.com. 14 June, 2013. was in Liber Abaci, the sequence had apparently been https://www.livescience.com/37470-fibonacci-sequence.html proportion of pictures as you resize used by Indian mathematicians from the sixth century Knott, Ron. “Fibonacci Numbers and the Golden Section”. Surrey University, Department of by dragging a corner. and on without being labeled. Mathematics. Mar. 1996. http://www.maths.surrey.ac.uk/hosted- sites/R.Knott/Fibonacci/fib.html