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Category Archives: Math
10 Awesome Theorems & Results
When I look back at various mathematical courses I took, most have at least one theorem that I really liked. Usually I like it because the proof has a surprising trick, sometimes it’s because of the unexpected conclusion, or maybe … Continue reading
Visualizing Data Using the Hilbert Curve
Some time ago, a coworker asked me to help him visualize some data. He had a very long series (many millions) of data points, and he thought that plotting a pixel for each one would visualize it well, so he … Continue reading
Posted in Fractals, Graphics, Math, Programming, Python
Tagged Fractals, hilbert curve, PIL, Python
2 Comments
Fast Peak Autocorrelation
So, I was at geekcon. It was a blast. There were many interesting projects, and I didn’t get to play with them all. I did get to work a bit on the Lunar Lander from last year, and this year … Continue reading
Posted in Algorithms, Math, Programming, Projects, Python, Utility Functions
Tagged autocorellation, automatic guitar improviser, geekcon, Math, pyimprov, signal processing
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Checking the ulam spiral
In the following post, the Ulam spiral is described. It’s a very simple object – write down consecutive natural numbers starting from 41 in a square spiral. Curiously, the numbers on the diagonal are primes: Reading this post, I immediately … Continue reading
Posted in Math, Programming, Python
Tagged Math, prime numbers, Programming, Python, Ulam spiral
4 Comments
Fractals in 10 minutes No. 6: Turtle Snowflake
I didn’t write this one, but I found it’s simplicity and availability so compelling, I couldn’t just not write about it. In a reddit post from a while ago, some commenter named jfedor left the following comment: A little known … Continue reading
Computing Large Determinants in Python
Story: For my seminar work, I had to calculate the determinant of a large integer matrix. In this case, large meant n>=500. You might say that this isn’t very large and I would agree. However, it is large enough to … Continue reading
Posted in Algorithms, computer science, Math, Programming, Python, Research
Tagged Float, Fractions, Matrix Determinants, Numerical Analysis, Programming, Python
2 Comments
Fractals in 10 minutes No. 5: Sierpinski Chaos Game
A few years back, I was in some course where they also taught me some Matlab. One of the exercises was to draw the Sierpinski triangle using a method of progressing a point randomly. I was quite surprised at the … Continue reading
Fractals in 10 minutes No. 4: Mandelbrot and Julia in Ascii Art
I felt like it’s about time I tackled the Mandelbrot and Julia sets, in AsciiArt. Heck, the Mandelbrot fractal is on the logo of this Blog! However, being the most wellknown fractal, this issue was tackled already, with satisfactory results. … Continue reading
Posted in Fractals, Programming, Python
Tagged asciiart, fractal, julia, mandelbrot, Python
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Fractal Memory Usage and a Big Number
In a previous post I said I’d talk about 4**(4**(4**4)). First, about the number. I first saw it mentioned in a math lesson back in highschool, when the teacher wanted to demonstrate estimation abilities. He wrote it on the board, … Continue reading
Posted in Algorithms, computer science, Fractals, Math, Programming, Python
Tagged exponentiation, memory usage, Programming, Python
1 Comment
PyKoan – The Logic Game
As you can probably tell, I’m back from my undeclared hiatus. I’ve got lots of stuff to talk about, and I’ll be starting with PyKoan, one small project I’ve been working on lately in my spare time. A few weeks … Continue reading
Posted in Game Development, Math, Programming, Projects, Python
Tagged Assembla, Expression Trees, Game, Logic, Programming, PyKoan, Python, Zendo
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