A Seirpenski Triangle is a fractal, i.e, it is infinitely detailed. It is also self-similar, by seeing the triangles in triangles in triangles in triangles in triangles... And so on. There are, mainly, three different techniques of making a Serpenski Triangle. The first technique involves taking three copies of any image, and assembling them to make a triangle with a hole. This image is then put through the process again. Repeat this infinitely to get the full Serpenski Triangle. The second technique is as follows: With a triangle, remove an upside-down triangle from the center. Then repeat the process with each of the other triangles, infinitely. The last technique uses randomness, and is as follows: Pich a random vertex of a triangle. Move halfway to it. Make a dot there. Repeat infinitely. I used the last method in this project, and I hope you like it! By the way, the dimension of this fractal is log3/log2, or about 1.58496. In other words, it's little more than halfway between a line and a plane. Lastly, the area of the triangle is 0.
