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Exploring Fibonacci in Nature: Reproducing Rabbits and Spiral Patterns in Plants

This educational presentation, developed by the NSF North Mississippi GK-8 program and inspired by Dr. Ron Knott’s work, investigates the fascinating applications of the Fibonacci sequence in nature. It begins with a model of rabbit reproduction, explaining the reproductive lifecycle of pairs of rabbits and the assumptions made in this model. Additionally, the presentation examines spiraling patterns found in pinecones and Romanesco cauliflower, highlighting the beauty of Fibonacci in botanical structures. Discover the connections between mathematics and nature through engaging visuals and interactive activities.

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Exploring Fibonacci in Nature: Reproducing Rabbits and Spiral Patterns in Plants

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  1. Naturally Fibonacci Heath E. Capello NSF North Mississippi GK-8 University of Mississippi April 2006 NSF North Mississippi GK-8

  2. Reproducing Rabbits • There is one immature breeding pair to start • Pairs of rabbits begin breeding when they are two months old • Upon reaching sexual maturity, each pair of rabbits gives birth to exactly one pair each month • No rabbits die NSF North Mississippi GK-8

  3. Reproducing Rabbits • Biologically, what is wrong with this model? NSF North Mississippi GK-8

  4. 1 1 1 1 1 1 1 1 1 1 1 2 2 3 2 3 8 5 2 3 5 Spiraling Squares NSF North Mississippi GK-8

  5. Adding a curve • Adding a quarter of a circle to each square of the spiral NSF North Mississippi GK-8

  6. The same curve, biologically speaking NSF North Mississippi GK-8

  7. Pinecones NSF North Mississippi GK-8

  8. Cauliflower Number of red spirals: 5 Number of blue spirals: 8 NSF North Mississippi GK-8

  9. Romanesco – a broccoli/cauliflower cross Number of blue spirals: 21 Number of red spirals: 13 NSF North Mississippi GK-8

  10. Source • This PowerPoint is an adaptation of Dr. Ron Knott’s website. Lots of resources, explanations, and further activities can be found on his page. The address is <http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html>. NSF North Mississippi GK-8

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