<#24#>Math 331, Fall 2004<#24#>
  1. <#27#> Write a TurtleCmd procedure that draws the #tex2html_wrap_inline44#-th approximation of a fractal of your choice (not one saw in class) and calculate its box-counting dimension. <#27#>
  2. <#28#> Write a TurtleCmd procedure that draws the #tex2html_wrap_inline46#-th approximation of a fractal of your choice (not seen in class) and calculate its box-counting dimension. <#28#>

  3. <#39#> Construct a Cantor set whose box counting dimension is #tex2html_wrap_inline48#. Explain a general algorithm for constructing a Cantor set with <#29#>any<#29#> given box dimension #tex2html_wrap_inline50#. [You can do this on Maple or by hand.] <#39#>

  4. <#31#> Write an IFS procedure to draw the #tex2html_wrap_inline52#-th approximation of a fractal of your choice (not one seen in class) and compute its box-counting dimension. <#31#>