continued from part 1
Some simple well-known fractal structures have special names. Students could be challenged to describe the particular iterative processes that produce them.
For example, what combination of initiator, generator and rule is generating this T-square fractal?
T-Square fractal by Solkoll
Can students themselves generate the four sequences of shapes at the top of this page?
What initiator and generator together generate this sequence of shapes that converges to the fractal known as the Koch curve – which is the limit approached as the iterative steps are followed over and over again?
Koch curves by Christophe Dang Ngoc Chan
The Koch curve can be seen as four copies of itself, or as two copies of itself. Challenge students to explain how!
By starting with an equilateral triangle, rather than a single line segment, students could create the first few stages towards a limit called the Koch snowflake.
Koch snowflake by Saperaud
You could show students the first five stages of a sequence of patterns, the limit of which is a fractal named the Moore curve. Can they describe the iterative process, and then produce their own versions?