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 …
EPS file summary…
Basically, this is a quick summary of key information/knowledge with EPS (encapsulated postscript files). This project is more for myself but if someone else out there finds this useful that’s great as well. I am just trying make sure that I don’t lose any information, so it is being put here so I can reference …
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 …
Making Rulers and Grids in Postscript…
Recently I described a very simple technique of how one can calibrate their printer for accuracy when printing out postscript coded documents. Therefore, after one has fully calibrated their printer, accurate rulers and grids can be made pretty easily. There are a many reasons why someone would want to have printable rulers and grids: You …
Printer Calibration…
To start we should define calibration; from wikipedia: Calibration is the comparison of measurement values delivered by a device under test with those of a calibration standard of known accuracy. Such a standard could be another measurement device of known accuracy, a device generating the quantity to be measured such as a voltage, a sound tone, …
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 …