# 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

Posted in Cryptography, Math | Tagged , | 13 Comments

## 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 , , , | 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

## 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 | | 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

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

## 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 | | 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 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