Fractal Playlist: https://www.youtube.com/playlist?list=PL2V76rajvC1KGSP7OZYtuIvp-oZk4vz8h
This video continues with the fractal known as the Sierpinski Triangle. This fractal has an area equal to zero and fractional dimension approximately equal to 1.585. This video specifically focuses on calculating the area of the fractal after the iterations are carried out infinitely many times.
This triangle is formed when starting with a triangle, usually equilateral, and finding the midpoint of each side length. The midpoints are then connected with lines, forming four smaller triangles. The middle triangle is then removed. This process is then repeated infinitely many times, always finding the midpoints, connecting them with lines, and then removing the middle triangle, leaving three smaller, identical triangles.
EulersAcademy.org
