IFS exercises

WittSem 100L 10/9/07

1. What are the IFS transformations needed to generate these fractals? (Check with Deterministic IFS software at http://classes.yale.edu/fractals)

A.

B.

C.

2. Devaney’s Chaos game (why the Random IFS works)

http://math.bu.edu/DYSYS/applets/chaos-game.html

What's the general strategy for winning in the fewest number of moves?

Novice Level, Game (fractal) 1 (equilateral Sierpinski gasket)

Medium level, Game 1

3. Random IFS program at classes.yale.edu/fractals: identify the IFS parameters (including probabilities)

Example 1:

Example 2:

Example 3: Barnsley Fern

Note: this one has origin at lower center, not lower left

Identify which transformation is which

How do we make the stem?

Which parameter(s) do you have to change to make the Barnsley Fern bend the other way? Try it!