## The Sierpiński triangle

Recently I’ve watched a video showing how to draw an approximation of the Sierpiński triangle on paper using the following steps1: Plot three points to form an equilateral triangle Randomly select any point inside the triangle and consider that your current position Randomly select any of the triangle’s vertices Move half the distance from your current position to the selected vertex Plot the current position Go to step 3 I found it absolutely fascinating, and at the same time I was extremely skeptical....