Iterate! ver 3.11 Copyright 1993 by Brent Hugh Description of the program 컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴� Iterate! is a program that graphs iterated functions. Iterate! demonstrates chaos theory (since--mathematically speaking--chaos is made with iterated functions) and fractals (many of the graphs Iterate! makes are fractals). Iteration theory--which Iterate! is based on--is the same theory that is used to draw Mandelbrot Sets and Julia Sets. Iterate!'s ability to draw Julia Sets and iterate the points in and around the set makes it a powerful--and fun--tool for exploring this fascinating area of mathematics. With Iterate!, you'll see Julia Sets in a way you've never seen them before. But Iterate! doesn't just do Julia Sets. It has a wide variety of other functions that illustrate aspects of iteration theory and chaos, as well as a function interpreter so you can try out your own functions. Features 컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴� Here are some of the best features of Iterate!: * A wide variety of built in functions that you can try * A user function interpreter, so you can write your own functions * Ability to easily save graphs to disk and later restore them * Ability to quickly zoom in on a certain part of the screen, or zoom out * Full support of the mouse, both for selecting points to iterate, and for zooming the window in and out * An iteration stack for automatic calculation of graphs with lengthy iteration times * Most graphics modes and cards supported Files included 컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴� These files are included with Iterate!: Iterate!.exe The program file Iterate!.frm The file that holds the user function * .frm There will be several sample user functions; they have the extension ".frm" Mandelbr.gph A graph of Mandelbrot Set that works with Iterate! (see Function.Txt for more details; see also Note below) KBRepeat.exe Utility to change the keyboard repeat rate Iterate!.txt A complete instruction manual for Iterate! WhatsNew.txt What's new in this version of Iterate! HowTo .txt How to do common things in Iterate! Function.txt A short discussion of the functions in Iterate! with some example parameters and other things you can try Jargon .txt An explanation of some of the jargon of Iteration Theory QuickCmd.txt Quick one page synopsis of Iterate!'s commands Readme .txt This file Program distribution 컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴� Iterate! is distributed as shareware. Please copy and distribute to friends, Users' Groups, BBS's, etc. If you use Iterate!, you should register it. See Iterate!.txt for more details. Registered users will receive a disk with the latest version of Iterate!, a version of Iterate! optimized for 286 and better CPUs, the source code for Iterate!, a Mandelbrot-Julia generator that works together with Iterate!, and several other programs I have written that illustrate fractals and chaos (including a 3-D fractal generating program). Program Author 컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴컴� Brent Hugh 986 Raymond Fruit Heights, UT 84037 USA voice phone: (816) 356-1740 or (801) 544-5032 Internet : bhugh@vax1.umkc.edu FidoNet : Brent Hugh 1:280/305 Please contact the author with any bugs, problems, requests, good User Function Files, and especially your registration fee.