Fractal is a pattern that repeats forever, and every part of the Fractal, regardless of how zoomed in, or zoomed out they are, looks very similar to the whole image.
Fractals surround us in so many different aspects of life, be it - Biology, the Universe, Oceans, Art, Plants, Music, and the list goes on.
Branching is one type of fractal design, we see everywhere, from the branches of trees that grow out from the trunk, smaller and smaller, to the branching of your own blood vessels. Both blood vessels and trees use the larger surfaces created by this pattern to exchange more oxygen and carbon dioxide. The vein patterns in leaves look like this, too.
Another type of fractal pattern we see in nature is the spiral. You can see biological spirals in some types of mollusk shells. You can also find spirals in star formations and the shapes of galaxies, and hurricanes are spiral-shaped, too.
Activity: Sierpinski Triangle A one form of Fractal
Stage 1:
Start by drawing a big triangle on a piece of paper, take an equilateral triangle for now.
Find the midpoint of each side and mark it on your paper.
Once they've found the midpoints, they connect those to form a smaller triangle inside your original triangle.
Now you should see four triangles: three that are facing the same way as your original, and one that appears upside-down.
Step2: Turn your attention to the three remaining triangles. You know, they really look like smaller versions of the original triangle, So let's do the same process to each of them...
Find the midpoints of their sides and connect them to form smaller triangles.
Decorate the upside-down ones to finish Stage 2.
Take the rightside-up triangles and repeat the process!
You've made a Sierpinski Triangle.
Step3: Search for 10 Sierpinski Triangle examples as Manmade-Abstract- Natural.
Step4: Observe the Spiral in nature, gove 10 examples and draw their repeating pattern.
Below are more examples attached in the PDF.