Category Archives: Math

10 Awesome Theorems & Results

Posted on 2011-02-13 by lorg

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 →

Posted in Cryptography, Math | Tagged , | 13 Comments

Visualizing Data Using the Hilbert Curve

Posted on 2010-04-17 by lorg

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 , , , | 2 Comments

Fast Peak Autocorrelation

Posted on 2009-10-14 by lorg

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 , , , , , | Leave a comment

Checking the ulam spiral

Posted on 2009-09-17 by lorg

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 , , , , | 4 Comments

Fractals in 10 minutes No. 6: Turtle Snowflake

Posted on 2009-08-31 by lorg

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 →

Posted in computer science, Fractals, Python | Tagged , , | 8 Comments

Computing Large Determinants in Python

Posted on 2009-03-25 by lorg

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 , , , , , | 2 Comments

Fractals in 10 minutes No. 5: Sierpinski Chaos Game

Posted on 2008-12-25 by lorg

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 →

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Fractals in 10 minutes No. 4: Mandelbrot and Julia in Ascii Art

Posted on 2008-12-10 by lorg

I felt like it’s about time I tackled the Mandelbrot and Julia sets, in Ascii-Art. Heck, the Mandelbrot fractal is on the logo of this Blog! However, being the most well-known fractal, this issue was tackled already, with satisfactory results. … Continue reading →

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Fractal Memory Usage and a Big Number

Posted on 2008-06-12 by admin

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 high-school, 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 , , , | 1 Comment

PyKoan – The Logic Game

Posted on 2008-06-01 by lorg

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 , , , , , , , | Leave a comment