# Tag: Fractals

### Lorenz attractor amusement with Three.js…

First I should admit the two main reasons why I made this project: I wanted to get some experience using Three.js; that is experience in making a 3D web elements. In the past, I have experimented a bit with WebGL, however I wanted to try out a library that could make 3D development a bit easier …

### More L-System Fractal Fun…

Every so often, I find doing some ‘recreation mathematics’ a weird type of fun. I know there are better things to spend my brain power on, so I try to limit such projects.  All of these projects are based on L-systems (or Lindenmayer systems) for a few reasons including: 1) they are fairly easy to implement; 2) it’s good …

### Fun with Koch Snowflakes…

I have to admit that I wasn’t the biggest fan of the Koch curve and/or snowflake object. Perhaps they were too simple, since they are located at the front of a fractal book and the cool stuff is usually located towards the back. Being winter I thought that this project was an appropriate way to …

### More Space Filling Curves…

Recently I completed a small project related to the Hilbert curve. So I have been a bit interested in space filling curves since then. Hence I decided to create implementations of three of the more famous ones out there, that is the Sierpinski curve, the Sierpinski arrowhead curve, and the Gosper curve. I am really …

### Hilbert Curve

A while ago the plan was to have at least 12 postscript based fractals so I could make some type of calendar; that is decorate each month with a different fractal image. Now I’m not sure what to think about the idea, a bit of a waste of time during covid, or an attempt at …

### Apollonian Gaskets…

To continue on with the other fractals in postscript I have chosen to work on the Apollonian Gasket. It consists of a set of circles where a circle is tangent to three other circles. Descartes Theorem Starting with three tangent circles, two other tangent circles can be calculated using Descartes’ theorem, that is: Where are …

### Pentaflakes & Hexaflakes…

After I made my Sierpinski triangle and square fractals, I started googling and noticed that they belonged to the family of n-flake objects. I became a bit curious and had to make a few of them myself. And of course I used postscript to try to keep an obscure/archaic language alive for another day. The …

### Postscript Fractals…

This is a silly fun thing to do on a rainy day. Postscript is a language that might not be in fashion anymore. Perhaps it might be because it is a bit backwards since it is a stack-based language and was designed to be used by machines (that is printers) rather than people. It is …