How to Draw The Sierpinski Triangle: A Fractal Zoom

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.

[ITZ_RONAK_]

Your drawing skills helps to complete our school homework assignments 👍

[jakeimations]

its physically impossible to draw a fractal, but good editing made it look like it is infinite. :D

[lyllydd]

Nice tutorial. You may want to provide a link to Vi Hart's videos on the mathematics of the Sierpinski triangle. She does a very good job of explaining it.

[suniltanti]

I THOUGHT THAT TO DRAW THIS IS VERY DIFFICULT BUT AFTER FOLLOWING THE STEPS THIS BECOME EASY TO DRAW
..
THANKS SIR

[danieldelapp]

This takes FOREVER to draw especially if you have to color it and have the triangle to be equilateral.

[Jenny-irng]

I thought this was inspired by The Legend of Zelda.

[thegavtutorials]

I've learned about fractals in my cybernetics course :)

[NoNo-qnpo]

I’m just gonna guarantee that you’ll never finish 😏