How to Draw The Sierpinski Triangle: A Fractal Zoom

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Learn step by step how to draw The Sierpinski Triangle, a fractal that can repeat itself at any scale of magnification or reduction.

To draw this triangle I start with an equilateral triangle.

Next I draw a dot at the half way point on each side of my triangle.

I then join these dots to make a new upside down triangle in the middle and also three new triangles in each corner.

I repeat this process in each upright triangle I create. I use a fine tipped pen for this drawing, but soon I run out of space for more triangles, so I start to draw more triangles outside the original triangle I started with.

To create the fractal zoom effect in this video I repeat a zoomed video image of my drawing. I think this gives some indication of the mathematical properties of the Sierpinski Triangle.

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