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RISC OS Filebase
Home > Software > Education > Maths > Iterated Function System

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Iterated Function System

Author Martin Carradus Licence Freeware Rating 4/5 (1 vote)4/5 (1 vote)4/5 (1 vote)4/5 (1 vote)4/5 (1 vote)1 vote
Version 2.00, 12th June 2012 URLs Homepage, Download (79 KB)

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 2unknown RISC OS 3.1xunknown RISC OS 3.5unknown
RISC OS 3.6unknown RISC OS 3.7xyes RISC OS 4.0xyes
Select 1i9 (4.29)unknown Select 2i3 (4.33)unknown Select 3i3 (4.37)unknown
Select 3i4/Adjust 1i2 (4.39)yes RISC OS 4.40unknown Raspberry Pi (5)unknown
RISC OS 5.0xunknown RISC OS 5.1xunknown Beagleboard (5.xx)unknown
Select 4i2 (6.0x)unknown      
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