Hyper Mandelbrot Fractal Generator

Introduction

Generates Mandelbrot Fractal Images for Powers greater than Two

Details

Double click on the !HyperMand icon run the application.

The method employed is to raise a complex number to a certain power, (usually two), add a fixed complex number, then keep on repeating the process.

The starting value for this is zero, but the successive complex numbers formed can either remain bounded (converge), or start becoming larger and larger (diverge).

As we vary the complex number that is added on to the power, the behaviour alters.

So the plot you see on the screen is the complex plane near zero, with the degree of instability of the iteration for each added complex number in this plane marked by a colour.

The black coloured region is where the iteration remains stable.

After or during Plotting, you may halt the process and choose a sub area to zoom in on and investigate.

Choose an unused Plot Number to generate the initial Mandelbrot with a new Power (up to five).

RISC OS Compatibility

RISC OS 2 RISC OS 3.1x RISC OS 3.5 RISC OS 3.6 RISC OS 3.7x RISC OS 4.0x Select 1i9 (4.29) Select 2i3 (4.33) Select 3i3 (4.37) Select 3i4/Adjust 1i2 (4.39) RISC OS 4.40 RISC OS 5.0x RISC OS 5.1x Select 4i2 (6.0x)     Help on versions

Supported Filetypes