haphaeu/mandelbrotset

Visualisation of the Mandelbrot set in Java using multithreading.

Mandelbrot Set

Interactive visualisation of the Mandelbrot set.

The Mandelbrot set is the set of complex numbers C for which the function f(z) = z**2 + c, starting with z = 0, does not diverge.

Note that to be in the set, an infinite amount of interactions is required for each point, therefore a maxIters is set and if the sequence does not diverge within that limit, interaction stops. Hence small value of interaction means that the point diverged quickly. The more iteractions, be longer it took to diverge. Points that reached maxIters interactions did not diverge.

The image represents a complex plane and the color space is calculated from the number of iterations for each point, from red to violet as that number increases and black if maxIters is reached.

Use

Drag the mouse to draw a rectangle. The selected region is zommed in upon release the mouse.

Note that the calculation of a frame can take some time. Progress can be seem by the queue size.

Keys

• up increase maxiters by a factor of 2
• down decrease maxiters by a factor of 4
• b back to previous zoom level
• r force repaint (obsolete)

TODO

• Improve color map

• Increase precision

• Optional input of numThreads. For now hard coded to 64.

• Optional input of resolution. For now hard coded to 1920 x 1080 pixels.

Download

Get the JAR file under Actions

Project Status