Solving the Daily Jumble…
I frequently do the crossword puzzle in my local paper. On the same page, usually on the left side it, the daily Jumble innocently exists. Its purpose is to torment the weak and waste a lot of time for the clever. I have to admit that I have been frustrated by it many times before. …
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 …
Sudoku Puzzle Solving…
I have been playing far too much Sudoku lately. Therefore, instead of taking the drastic step of kicking the habit, I decided to go a bit deeper into it by writing some code and make a Sudoku solver (or even a few of them). I believe that this project has worked in that I no …
Fourier Series plots…
Back in my TA days (or daze), I helped out on one course that was a mix of numeric methods and MatLab programming. Most students were ok, but there was a bit of a struggle with the Fourier series. Perhaps it was a problem with the integration or it was general issues with their math …
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 …
Chaos Game… with some variations
I was always fairly amused with the fractals created by the chaos game. Given the current state of things, I thought it would be good to stay busy and keep my programming skills active. This time I wrote implementations for/in: Python, C# .Net console app, and Javascript. The chaos game is not actually a board …
Bifurcation Diagrams… (x4)
A little while ago I noticed a few posters in the office I used to work in had a bunch of graphs with the occasional presence of a bifurcation element amidst the plethora of information they presented. I tried to read and follow all of these posters but none of them lead to the reason …
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 …