The first six iterations of a fractal square resembling a koch snowflake. A second square is placed on each side of the original square at one half the size - As the number of iterations approaches infinity, the area of the fractal approaches exactly twice the area of the original square.
<a href="//commons.wikimedia.org/wiki/User:IntegralPython" title="User:IntegralPython">IntegralPython</a>
CC BY-SA 4.0
<span class="int-own-work" lang="en">Own work</span>