Random hexagon fractal

I recently ran across a post on X describing a process for creating a random fractal. First, pick a random point c inside a hexagon.

Then at each subsequent step, pick a random side of the hexagon and create the triangle formed by that side andc. Updatec to be the center of the new triangle and plotc.

Note that you only choose a random point inside the hexagon once. After that you randomly choose sides.

Now there are many ways to define the center of a triangle. I assumed the original meant barycenter (centroid) when it said center", and apparently that was correct. I was able to create a similar figure.

But if you define center differently, you get a different image. For example, here's what you get when you use the incenter, the center of the largest circle inside the triangle.

Related posts

• Randomly selecting points in a triangle
• Subdividing a triangle with various centers
• Randomly generated dragon fractal
• The chaos game and the Sierpinski triangle

The post Random hexagon fractal first appeared on John D. Cook.