Iterated Function System

Introduction

Fractal generated by random selection of affine transformations

Latest Changes

Now allows of a user-defined set up up to ten affine mappings, supplied from a panel off the bar icon menu.

Details

Plots points by randomly applying a set of 'affine' transformations i.e. mappings of the form x(n+1) = a.x(n)+b.y(n)+c and y(n+1) = d.x(n)+e.y(n)+f. These mappings transorm the point [x(n),y(n)] to the point [x(n+1),y(n+1)], where n=0, 1, 2, etc., and the (a,b,c,d,e,f) belong to a fixed set of such groups of numbers. The group applied each time is selected randomly from the fixed set. The set of points plotted gradually approach a self-similar, or 'fractal' like pattern. Different sets of 'affine' transformations that generate different patterns are user-selectable.

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 Raspberry Pi (5) RISC OS 5.0x RISC OS 5.1x Beagleboard (5.xx) Select 4i2 (6.0x)         Help on versions

Supported Filetypes