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Category Archives: Fractals
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
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
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
A second look at the dragon fractal
At first when I drew the (twin)dragon fractal, I had a small bug. I used the base 1+i instead of 1i. This also generated a very similar looking beast. Thinking about that for a while, made me curious. Just like … Continue reading
Posted in Fractals, Graphics, Programming, Python
Tagged dragon fractal, ffmpeg, Fractals, PIL, Python
1 Comment
Fractals in 10 minutes no. 3 – The Dragon
When first I looked through the pages of the book “Hacker’s Delight”, I found myself looking at the chapter about bases. There I learned a very curious fact – with the digits of 0,1 and the base of 2, you … Continue reading
Posted in Fractals, Math, Programming, Python
Tagged base systems, dragon fractal, fractal, Knuth, Python
3 Comments
Optimizing the recursive spring
Remember the recursive spring? Well, when I worked on it, it was quite slow. I mean very slow. Especially at the higher levels. The original reason was the recursion. Consider this – to ‘springify’ a track, you had to sample … Continue reading
Posted in Algorithms, Fractals, Programming, Python
Tagged Decorator pattern, Python
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Fractals in 10 minutes No. 2 – Recursive Spring
Imagine a straight wire. Bend this wire until its ends meet. You get a ring. Next stage. Take another straight wire, bend it as before, but this time, don’t let the ends meet, instead continue bending the wire more and … Continue reading
Riddle of the Week – LStrings
So I wrote about lstrings. I intend to write about them again in a short while – I already finished the basic script a few days ago, but I’m waiting, until I will be satisfied with it. In the meantime, … Continue reading