1. This fractal rule for the fractal Cantor dust is: take out the middle third or each segment in the previous iteration.
A. Draw the next iteration of the fractal
| iteration 0 |  |
| iteration 1 |  |
| iteration 2 |  |
| iteration 3 |
B. Complete the table below, and explain your rule for finding the numbers that go in the table
| iteration number | number of pieces | length of each piece | total length |
| 0 | 1 | 1 | 1 |
| 1 | 2 | 1/3 | 2/3 |
| 2 | |||
| 3 | |||
| n (formula) |
2. The fractal rule for this fractal (this one doesn't have a name) is: take out the middle third, and replace it with the top 3/4 of a square:
Segment was: |
Changed to: |
 |
 |
This one's a little hard to visualize, so I have color coded a version to help you see the change from iteration 1 to iteration 2:
Iteration 1 is: |
Iteration 2 is: |
 |
 |
A. Draw iteration 3
| iteration 0 | |
| iteration 1 | |
| iteration 2 |  |
B. Complete the table below, and explain your rule for finding the numbers that go in the table
| iteration number | number of pieces | length of each piece | total length |
| 0 | 1 | 1 | 1 |
| 1 | 5 | 1/3 | 5/3 |
| 2 | |||
| 3 | |||
| n (formula) |