Naturally Fibonacci Heath E. Capello NSF North Mississippi GK-8 University of Mississippi April 2006 NSF North Mississippi GK-8 Reproducing Rabbits 1. 2. 3. 4. 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 Reproducing Rabbits Biologically, what is wrong with this model? NSF North Mississippi GK-8 Spiraling Squares 2 3 1 1 1 1 1 2 3 1 1 2 1 2 1 1 5 3 1 8 5 NSF North Mississippi GK-8 Adding a curve Adding a quarter of a circle to each square of the spiral NSF North Mississippi GK-8 The same curve, biologically speaking NSF North Mississippi GK-8 Pinecones NSF North Mississippi GK-8 Cauliflower Number of red spirals: 5 Number of blue spirals: 8 NSF North Mississippi GK-8 Romanesco – a broccoli/cauliflower cross Number of blue spirals: 21 Number of red spirals: 13 NSF North Mississippi GK-8 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