fractal – OnlyOnesAndZeros

Updated Chaos Game Fractal Generator

March 19, 2018June 12, 2017 by Alex

$A pentagonal blue fractal shape.$

I have created another version of my chaos game fractal generator program. The new version allows for the user to input the number of vertices used to generate the fractal, as well as adding one (optional) rule: whether the same vertex can be selected more than once in a row. This post, in which I … Read moreUpdated Chaos Game Fractal Generator

Another Variant of the Sierpinski Triangle

February 2, 2017 by Alex

Here’s another variant of the Sierpinski triangle, this one with several detached parts. You can also run the program or view the code I used to create it.

Variants of the Sierpinski Triangle

February 1, 2017February 1, 2017 by Alex

These are some variants on my Sierpinski triangle program with the chaos game method. I used a slightly different equation (by accident – this was a bug) to govern the transformation of a point. You can run the program for the first one here, or the second one here. You can also view the code … Read moreVariants of the Sierpinski Triangle

“Chaos Game” Sierpinski Fractal Generation

January 30, 2017 by Alex

$Sierpinski triangle fractal$

This is a Sierpinski triangle fractal generated using the chaos game method, in which a point inside a triangle is copied halfway to any random vertex of the triangle. That is to say, we pick a point inside an initial triangle, then randomly select a corner in that triangle. We then take the x and y coordinates of that corner/vertex and find the difference between that and the coordinates of the starting point. Finally, we divide those differences by 2 and use those as the coordinates for the next point, and repeat. If you want, you can run the program I wrote to generate the fractal, or look at the code (in JavaScript) I used.

Square Fractal Drawing

January 22, 2017 by Alex

Fractal made out of different sized squares

This is a fractal I made by drawing smaller and smaller squares on each side of the larger squares. I don’t know if it has a name, but I think it’s interesting.

Blender – Dragon Curve Fractal

January 14, 2017 by Alex

$A dragon curve fractal$

This is a test dragon curve fractal I made using Blender. It was created by starting with a line segment, then duplicating it and rotating it 90 degrees to make a corner, then duplicating and rotating that, and so on. In the future, I would like to write a program to generate one.

Sierpinski Triangle

January 11, 2017 by Alex

This is a sierpinski triangle I drew, with 6 levels of detail, containing 365 triangles. This is one of my favorite fractals, and here is the Wikipedia page about it. It is a simple self-similar fractal created by drawing triangles in triangles. Maybe later I’ll buy some poster paper and make one with 7 or … Read moreSierpinski Triangle

Mandelbrot Screensaver

January 31, 2017December 30, 2016 by Alex

I’ve been playing around some more with my Mandelbrot program, and I’ve made a separate version of it where each time the fractal is redrawn, it randomizes the real and imaginary parts of the complex number “z” (normally it’s 0). This is the result: It’s not really important or productive, but it looks cool and … Read moreMandelbrot Screensaver

Mandelbrot Program – Added Shading

January 31, 2017December 29, 2016 by Alex

I added basic shading to my Mandelbrot fractal program. If you haven’t seen that, here’s a link. Anyway, for each pixel it takes the number of iterations of z=z2+c in order for the coordinates to escape the Mandelbrot set, and bases the color off of that. Picture: Right now, however, it can only use shades … Read moreMandelbrot Program – Added Shading

Mandelbrot Set Generation Program

January 31, 2017December 29, 2016 by Alex

This is a program I wrote that generates the Mandelbrot fractal (here’s a Wikipedia article about it), written in JavaScript, using the HTML5 canvas. For each pixel, it evaluates a recursive formula, z=z2+c, based on the coordinates of that pixel. If, after the z value is fed back into the formula a certain number of … Read moreMandelbrot Set Generation Program