| Thus if we do the first six stages of the fractal pattern we
will end up with a pattern in a 26 = 64 inch
square. |
| The idea is to show the progression of the stages side
by side on a wall. |
| This is an excellent way to physically
demonstrate that the area of a square quadruples when the side
is doubled, while the area occupied by these stages of a
fractal increases more slowly. |
| The expansion of the images
as the stages increase illustrates the geometric progression
of the area of the pictures and the square containing the pattern. |
| When viewed from a distance the image
will look like an abstract pattern, but upon closer inspection, we see it is
composed of pictures, perhaps of your
students. |
| This illustrates that different aspects of an object
can be revealed at different scales, and the range over which the fractal pattern
persists is limited. |