Art > 2011-2013 Platonic Solids

Fibonacci's Rabbits
Fibonacci's Rabbits
acrylic, oil and pencil on canvas
60 x 48"
2012

This painting is a visual abstraction of the problem Medieval mathematician Leonardo Pisano Bigollo, aka Fibonacci, (c. 1175 – c. 1250) brought to the West from his travels in India. He published it in his 1202 treatise Liber Abaci (Book of Abacus or Book of Calculation) that reads, "How many pairs of rabbits will be produced in a year, beginning with a single pair, if in every month each pair bears a new pair which becomes productive from the second month on?"

Notes: A) To calculate the number of pairs in a month, n+1, will be Xn plus the number of new pairs born. And since new pairs are only born to pairs at least 1 month old, there will be Xn-1 new pairs. Xn+1 = Xn + Xn-1, the algebraic problem for generating the Fibonacci sequence or code adds the last two numbers to get the next one...following this, after 12 months, there will be 233 pairs of rabbits. B) In this problem, rabbits never die, and all pairs produce another fertile male/female pair. C) Later, Fibonacci stated that at the end of one year there will be 377 rabbit pairs.