Program fractals java

Sierpinski triangle is a fractal and attractive fixed set with the overall shape of an equilateral triangle. In this simulation, Create a Sierpinski triangle by endlessly drawing circles.

The C curve is a kind of fractal geometry. Bend each side 90 degrees. Bend this side again 90 degrees. Repeating this operation infinitely can get a C curve. A dragon curve is a piece of paper folded several times in the same direction as the picture and then bent vertically. Open-source, free, fast, amazing. You can pinch to zoom or spin and steer by tilting. Incredible fun, and so beautiful.

Fractal to Desktop Live-render fractals to your desktop! Windows machines only at this time. JWildfire Wildfire is a free and user-friendly image-processing software, mostly known for its sophisticated flame fractal generator. It is Java-based, open-source and runs on any major computer platform. There is also a special Android-version for mobile devices. Go to the downloads page to get this free program for Windows, Linux or Mac machines.

Fractal Landscapes Make your own fractal landscapes. Fractal Map If you have Windows 10 or Windows 10 mobile, download this free program to create your own fractals! The first one may be a little more powerful and possibly a bit faster, but the second one is a little easier to use. I love them both! Apophysis Freeware fractal flame editor for Windows — creates super cool fractal images!

Therefore you can create a fractal in many ways, using different approaches, as shown in the image below. Choose an approach and then investigate how to implement it. These four examples were implemented using Marvin Framework. The source codes are available here.

The mandelbrot set is generated by repeatedly evaluating a function until it overflows some defined limit , then checking how long it took you to overflow. You'll have to use a complex type, or include that calculation in your loop. The most complicated part is scale and translate the coordinate systems. Also complicated is making the rainbow palette. Sometimes I program fractals for fun and as a challenge. You can find them here. The code is written in Javascript using the P5.

For those I have seen the algorithms are quite simple, just find the core element and then repeat it over and over. I do it with recursive functions, but can be done differently. People above are using finding midpoints for sierpinski and Koch, I'd much more recommend copying shapes, scaling them, and then translating them to achieve the "fractal" effect.

Pseudo-code in Java for sierpinski would look something like this:. Stack Overflow for Teams — Collaborate and share knowledge with a private group.

Create a free Team What is Teams? Collectives on Stack Overflow. Learn more. How to program a fractal? Ask Question. Asked 13 years ago. Active 2 years, 2 months ago. Viewed k times. Can you provide me with simple algorithms for fractals.

Programming language doesn't matter really, but I'm most familiar with actionscript, C , Java. Improve this question. Sander Versluys Sander Versluys 69k 23 23 gold badges 81 81 silver badges 89 89 bronze badges. Based on the answers in this question, I've created a gist on github with animated mandelbrot in javascript using the canvas element.

Add a comment. Active Oldest Votes. Learn exactly what the Square of a Complex number is and how to calculate it. Figure out how to translate the -2,2 rectangular region to screen coordinates.

Improve this answer. The idea behind it is relatively simple. Cover the rectangle with a suitable rectangular grid of points say, x points , which will be mapped to pixels on your monitor. In practice you can check, while iterating, if the absolute value of one of the 20 terms is greater than 2 if one of the terms does, the subsequent terms are guaranteed to be unbounded.

If the sequence corresponding to a certain point C is bounded, draw the corresponding pixel on the picture in black for it belongs to the Mandelbrot set. Otherwise, draw it in another color. If you want to have fun and produce pretty plots, draw it in different colors depending on the magnitude of abs 20th term. Stormblessed 2 2 silver badges 14 14 bronze badges. Federico A.