"........... ... ..... ... ..........M"M".rogramming and text by .ominic .ord.M"M"     .he .andelbrot and the .uliaM"sets are mathematical fractal images,M"or.images that can be zoomed intoM"infinitely much without detail beingM"lost, that are calculated usingM"mathematical formulae involvingM"complex numbers. .ou do not, however,M"need to understand the mathematicsM"involved with these formulas, orM"about complex numbers to appreciateM"the graphics produced. .hen they wereM"originally discovered they wereM"thought of only as of mathematicalM"interest, yet in recent years theyM"have become popular not just withM"mathematicians, but also with theM"rest of the population. .he stunningM"graphics which are produced byM"fractal plotters has lead to plottersM"being written for almost everyM"computer format that exists. .n theM".64/128 format, however, most of theM"plotters were simply programs writtenM"in ....., and were consequently veryM"slow, and difficult to use.M"     .andelplot differs from most ofM"these plotters in that it is writtenM"in 100% machine language, and isM"therefore far faster and moreM"efficient. .espite the fact that itM"is written in fast machine language,M"and is many times faster than itsM"..... equivelents, it is still a slowM"program compared to most of those onM"larger computers, and often takesM"over an hour to complete a plot. .M"have tried to overcome this problemM"by using a plotting system whichM"plots a very low resolution imageM"first of all, and then slowlyM"increasing the resolution. .sing thisM"system the user can begin to see theM"rough outline of the image veryM"quickly, and then zoom in furtherM"before the plot has finished.M"     . have made the system asM"user-friendly as possible by makingM"the program controlled almostM"entirely by a mouse pointer which mayM"be moved around using aM"mouse/joystick plugged into port ..,M"or using the following keys:M"M"      .   . - .eftM"      .   . - .ightM"      .   ; - .pM"      .   / - .ownM"     ...... - .lickM"M"     .he program has been designed soM"that zooms may be performed not byM"entering the co-ordinates of the areaM"to zoom, but by boxing out the areaM"to zoom on the screen. .his meansM"that you can actually see the areaM"that you are blowing up to fullM"screen size, rather than guessing atM"what the co-ordinates are. .n orderM"to maintain compatibility with otherM"plotters, . have allowed the user toM"zoom by entering co-ordinates as wellM"as by boxing out an area on screen,M"as this.allows you to view a specificM"fractal image.that you only know theM"co-ordinates for. . have alsoM"included instructions within theM"program so that while you are usingM"the program you can easily get helpM"without having to find theseM"instructions. .o read these helpM"pages simply move the mouse pointerM"down to the bottom left corner of theM"screen, and click on the '....'M"button.M"     .he .andelbrot set is one singleM"fractal image, which is the image youM"see when you first run .andelplot.M".ulia sets differ from .andelbrotM"sets in that there are infinitelyM"many of them, as there is one .uliaM"set for every point in the .andelbrotM"set. .he appearence of this .ulia setM"depends upon where the correspondingM"point in the .andelbrot set is. .uliaM"sets which correspond to pointsM"around the outside of the .andelbrotM"set, for example, are simple, whereasM".ulia sets which correspond to pointsM"around the edge of the .andelbrotM"lake (central area) are far mareM"complicated and interesting.M"     .ulia sets may be plotted byM".andelplot if an area of theM".andelbrot set is boxed out, and thenM"the '.ulia .et' button is selected.M".he .ulia set which corresponds toM"the point at the top-left of the boxM"will then be plotted, and may beM"zoomed into just like the .andelbrotM"set itself. .f '.ulia .et' isM"selected again, you return to theM".andelbrot set where you left it, andM"may zoom in, or plot another .uliaM".et.M"     .or more detailed instructionsM"on how to use .andelplot, and how toM"use many of the functions, see theM"help pages within the program.M"M"M

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