![]() ![]() Xaos.6 Paul Nasca Ministatus improvement Nix Grammatical and spelling fixed version of xaos.hlpĪnd other files Terje Pedersen Amiga port Cesar Perez Spanish translations Fabrice Premel Periodicity checking Jan Olderdissen Win32 port Ilinca Sitaru Romanian translation Daniel Skarda Fractal examples Andrew Stone (Stone Design - Videator Support, Cocoa improvements, performance mode, bugįixes Marton Torok Small fixes for pipes Pavel Tzekov Win32 support Charles Vidal Tcl/Tk interface Tapio K. Ideas Dominic Mazzoni Macintosh port (version 2.0) David Meleedy Grammatical and spelling fixed version of Langston III Native Mac OS X port (from version 3.2.2) web redesign Ĭo-maintainer Andreas Madritsch New fractal types, bailout, many fixes Mateusz Malczak User formula evaluation library Giorgio Marazzi Improvements and fixes for espanhol.cat Thomas Marsh First zoomer, formulae, planes, X11 driver, inversions, many Version 3.1, bug fixes, web design, current maintainer Zsigmond Kovacs Fractal examples J.B. Kjaer OS/2 ports (320x200 graphics and AA-lib) Zoltan Kovacs Internationalization, Hungarian translations, finalizing Jens Kilian BeOS driver, deutsch.cat Thomas A. Lucio Henrique de Araujo Brazilian/Portuguese translation Eric Courteau francais.cat (translation of tutorials) Jean-Pierre Updates for French translation Radek Doulik TK interface, windowid patches Martin Dozsa cs.po (Czech translation of menus) Arpad Fekete some new fractals, and the 'More formulae' menu Zelia Maria Horta Garcia Brazilian/Portuguese translation Tim Goodwin english.cat corrections Ben Hines autoconf suggestions, Mac OS X port Jan Hubicka Zooming routines, ugly interface, palettes, drivers, autopilot,įilters, documentation, tutorials etc. Sources and help improve XaoS through an open You are welcome to redistribute it under the ![]() The Fractal Geometry of Nature by Benoit B Mandelbrot.XaoS is free software.Computers, Pattern, Chaos and Beauty: graphics from an unseen world by Clifford A Pickover.Boston London: Academic Press Professional, c1993 Fractals Everywhere, second edition, by Michael F Barnsley revised with the assistance of Hawley Rising III.The mathematics of fractals is discussed in a few fun web sites: But fractal signals can also be used to model natural objects, allowing us to mathematically define our environment with a little higher accuracy than before. The film "Star Trek II - The Wrath of Khan" was created using fractal landscape algorithms, and in "Return of the Jedi" fractals were used to create the geography of a moon, and to draw the outline of the dreaded "Death Star". This is seen in many special effects within Hollywood movies and also in television advertisements. It is possible to create all sorts of realistic fractal forgeries, images of natural scenes, such as lunar landscapes, mountain ranges and coastlines to name but a few. Modern Developmentsįractals are now used in many forms to create textured landscapes and other intricate models. It turns out that by using different sets of random numbers as a seed many contrasting fractal landscapes of this type can be created, and an infinite set of random numbers can create a landscape of infinite detail. As the time intervals are reduced the calculated length of the path actually increases. The following pictures show a computer generated particle being observed at different time intervals. "nature contains suggestions of non-differentiable as well as differentiable processes". A physicist Jean Perrin tried to measure the velocity which is theĭerivative of the particle's position with respect to time, but found that the velocity of the particle "varies in the wildest way in magnitude and direction, and does not tend to a limit as the time taken for an observation decreases" This movement is now named after him and called Brownian motion. The liquid or gas is composed of continually moving molecules that hit the small particle from different directions. It was a Scottish botanist Robert Brown who noticed the near random movement of a small particle when it is immersed in a liquid or gas. Martin Turner takes you on a journey from the motion of a microscopic particle to the creation of imaginary moonscapes. Computer games and cinema special effects owe much of their realism to the study of fractals. ![]()
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