Some of my fractals

Some of the better looking fractals I've made.

Funnily enough, I've had these on file for a year now, never decided to upload.

The methodology of creation is called 'Chaos game.' The basic idea is to give a starting point, a series of outer points.

You randomly pick an outer point, and draw a point at the midpoint between that outer point and the starting point. This new point is the starting point of the next iteration.

My first, (and arguably most significant) change was to make it so every outer point is selected. Using recursion, we can mentally keep in step as the number of starting points increases geometrically.

The second contribution was to add selection patterns. Instead of selecting every other outer point, each starting point chooses points from a mask that indicates which outer points should be used, with relative perspective drawn from that starting point's progenitor outer point.

This allowed for many more varied shapes, with the same configuration of outer points.

I also made some cosmetic changes (they are out of order here, so you may not notice them) Namely, the larger and redder a point is, the older the generation it belongs too.

...

Sometimes, I wonder, who is more pitiable.

The starting points, who reach for the outer points, creating and giving so much only to reach diminishing returns at best, and outright confusion at worst...

Or the outer points, who stand there helpless, as I run simulation after simulation...

Or me, who watches them dance because it's a less depressing way to die.

I don't know why I picked some of these.

Maybe it's the way they watch me.

I never saved the maps. These fractals may never be made again.

Maybe that's why they look so angry.

Maybe that's why they look so angry.

Maybe that's why they look so angry.

Maybe that's why they look so angry.

Maybe that's why they look so angry.

Maybe that's why they look so angry.

Oh Yeah! I attempted it in 3D too. Decent results, but it's hard to get a great angle for a static image and it's so much more difficult to set up the outer points. Anyway, yeah, I hope you enjoyed the fractals.