Fibonacci Rabbits
Fibonacci Rabbits
In 1202 Fibonacci investigated how fast rabbits could breed.
Suppose a pair of rabbits, one male and one female, start a family. Rabbits mature at the age of one month (labeled "m") and a female produces a new pair of rabbits (labeled "n") at the end of its second month.
Suppose that the rabbits survive forever and that a female always produces one new pair (one male, one female) every month, giving the original pair and a new one.
How many pairs will there be in eight generations?
Details
Details
The sequence can be reproduced by a substitution system, replacing every "m" in one month by "mn" in the next and similarly replacing every "n" by "m".
External Links
External Links
Permanent Citation
Permanent Citation
Enrique Zeleny
"Fibonacci Rabbits"
http://demonstrations.wolfram.com/FibonacciRabbits/
Wolfram Demonstrations Project
Published: August 27, 2008