Fractal Fraction

Geometry Level 3

Jim has a unit square.

  • On top of this unit square, he places a square with side length equal to \(\frac13\) the side length of the square below.
  • On top of that square, he places another square which again has side length equal to \(\frac13\) the side length of the square below, and so on.
  • He repeats this process until he has created an infinite stack of diminishing squares--a fractal.

What is the ratio of the perimeter of the fractal to the area of the fractal?

×

Problem Loading...

Note Loading...

Set Loading...