Math 331, Fall 2002: Problems 25-28

**25.**- (
*expires 12/13*) Construct a Cantor set whose box counting dimension is . Explain a general algorithm for constructing a Cantor set with*any*given box dimension . [*You can do this on Maple or by hand.*] **26.**- (
*expires 12/13*) Write a TurtleCmd procedure that draws the -th approximation of a fractal of your choice (not the one you're using for Project 3, and not the Koch curve!) and calculate its box-counting dimension. **27.**- (
*expires 12/13*)*[No Maple]*Find the affine transformations that define the fractal below. For notes on affine transformations, download the Maple file:`http://www.math.sunysb.edu/~mat331/Worksheets/IFS.mws`. **28.**- (
*expires 12/13*) Write an IFS procedure (see`http://www.math.sunysb.edu/~mat331/Worksheets/IFS.mws`) to draw the -th approximation of a fractal of your choice (not the one you're using for Project 3 and not Koch or Sierpinski) and compute its box-counting dimension.

MAT 331 2002-11-13