 Fall 2003 |
|
|
Fall 2003 |
|
|
 |
| The number of squares of length 1/n needed to cover the circle grows linearly with n. The circle has dimension 1. | The number of squares of length 1/n needed to cover the dis grows like n2. The disk has dimension 2. |
On the other hand, the number of squares of length 1/n needed
to cover the coast of Massachusetts grows like nd
with a number d between 1 and 2. The curve appears to be a
fractal. The measurement of the number of squares is a
counting exercice. The computation of the growth rate needs a
linear fit. ( More Details (PDF))
|
