Microworld: Progeny:
(All in One)
Click the Hyperlink above
to visit the Microworld.
Author:
Ravinder
Kumar
In
1202 Fibonacci posed and solved a problem on the population of rabbits, which
gave rise to the famous Fibonacci sequence. There are many population models,
such as, population of plants, population of blood cells etc. Fibonacci sequence
in turn gives rise to 'golden ratio'. In this 10-page self-contained Microworld,
we consider the following:
- Propagation of Plants
- Fibonacci's Rabbit Problem
- Golden Ratio
- Golden Rectangle
A
paper-folding activity is given to construct a golden rectangle. The modeling
procedures involve linear systems of difference equations, higher order difference
equations, and eigen values. This book can be used for modeling in biology,
and also exploring Fibonacci sequence. The users are advised to explore carefully
the methods and then attempt to solve the problem of movement of population
that also depends upon linear system of difference equations.
Return to the listing of MathwrightWeb Microworlds
| - James E. White, Ph.D. , Library Director, | ||
| author of this website, Mathwright 2000, MindScapes, | ||
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