Category Archives: Fractals

Visualizing Data Using the Hilbert Curve

Posted on April 17, 2010 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 →

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Posted in Fractals, Graphics, Math, Programming, Python | Tagged , , , | 2 Comments

Fractals in 10 minutes No. 6: Turtle Snowflake

Posted on August 31, 2009 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 →

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Fractals in 10 minutes No. 5: Sierpinski Chaos Game

Posted on December 25, 2008 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 December 10, 2008 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 June 12, 2008 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 →

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Posted in Algorithms, computer science, Fractals, Math, Programming, Python | Tagged , , , | 1 Comment

A second look at the dragon fractal

Posted on January 29, 2008 by lorg

At first when I drew the (twin)dragon fractal, I had a small bug. I used the base 1+i instead of 1-i. This also generated a very similar looking beast. Thinking about that for a while, made me curious. Just like … Continue reading →

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Fractals in 10 minutes no. 3 – The Dragon

Posted on January 16, 2008 by lorg

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 →

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Optimizing the recursive spring

Posted on December 27, 2007 by lorg

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 →

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Fractals in 10 minutes No. 2 – Recursive Spring

Posted on December 19, 2007 by lorg

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 →

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Riddle of the Week – LStrings

Posted on June 15, 2007 by lorg

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 →

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