Google Code-in

Draw two fractals

(1) Objective

Using recursive programming, draw fractals.

(2) Requirement

Fractals appear in many places:

I. plants (fern, tree, broccoli)

II. animals (seahorse, sea-star, ammonite)

III. inanimate world (coast, Universe, snowflake)

IV. abstract objects (Escher's drawing)

1) Pick 2 categories among 4 given above.

2) Recursive-program to display a fractal from each category.

3) Use a different color scheme at each recursion level.

4) For the first fractal, periodically repeat the schemes.

5) For the second, determine the color scheme using the digits of Pi = 3.141592... Is the color scheme periodic this time?

Optional: compute their fractal dimensions.

If you use Python, turtle might be helpful.

If this seems too hard, start with a task similar to this one Play with Search, using recursion and random, also under FOSSASIA task category.

(3) Expected outcome

Using recursive programming, draw two colorful fractals.

Fractals are self-similar objects. Meaning that as you change recursion depth, the object should look similar. When you play with your code, do test it with varying recursion depth as well.