3rd to 5th, 6th to 8th, High School
Play with shapes that grow, shrink, and change over several stages. Explore self-similarity and patterns in fractal measurements. Can you see how these shapes are fractals?
Initial, Now, and Next images are shown below the work area. Initial is the original shape (Stage 0) from which a fractal will be created. Now and Next describe the process that will be used to create the fractal. Any element that looks like Now at the current stage will be transformed to Next in the following stage.
Stepping through the stages:
Note: Each fractal will be animated for the first several
stages only, due to computer limitations. However, statistics about
stages beyond those shown graphically will appear in the table to the
right. The orange rows represent those stages for which the image can be
displayed; the blue rows represent those stages for which there are no
Looking at the table, see if you can answer the following questions: