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diff --git a/help/rest/tutorial.txt b/help/rest/tutorial.txt new file mode 100644 index 0000000..2757a78 --- /dev/null +++ b/help/rest/tutorial.txt @@ -0,0 +1,254 @@ +.. _tutorial: + +.. index:: Tutorial, Features, Overview + +Feature Overview +================ + +This is a brief introduction to the basic XaoS features. + +How to zoom +----------- + +The main advantage of XaoS is that after a few seconds' delay to calculate the +first image, you may choose any point with the mouse and press the **left** +button. The image will start to zoom smoothly into the point you choose. You +may move the mouse and zoom smoothly into interesting areas. By pressing the +**middle button** (or **left+right** buttons) you may also **move the image** +using "drag & drop" if you missed an interesting place. **Unzooming** is also +possible by using the **right button**, but it is much slower because +optimizations are not so effective as for zooming. + +In case you think that the default **speed** is boring (it is quite slow, to +make XaoS smooth on a slow computer) you may change it by pressing **arrow +up/down**. But faster zooming is more expensive, so if the speed is too high +you will see little but funny colorful blinking rectangles. + +Autopilot +--------- + +To make XaoS yet more impressive we made a special autopilot that automatically +drives into interesting boundaries of the set. So you can press A, play your +favorite music, drink coffee and relax. I never tried this but it should be +really relaxing! Many pictures in the XaoS gallery were discovered using the +autopilot. + +The autopilot also has some additional features. It turns back when the zoomed +picture stops being interesting, and is able to spot when it's zoomed into a +really boring part (or has reached the limit of floating point numbers) and +restart zooming from the top. + +Various fractal formulae +------------------------ + +XaoS also supports formulae other than the Mandelbrot set. You may change +**formula** using the **number keys** or **SHIFT+letters**. + +On keys 1 to 5 are **Mandelbrot sets of various power**. The "normal" +Mandelbrot set is on key 1. + +On key 6 is a fractal called **Newton**. It is Newton's famous formula for +finding roots. + +On key 7 is the **fourth ordered Newton** fractal. + +On key 8 is a fractal called **Barnsley**. + +On key 9 is **Barnsley's second** fractal. + +On key 0 is **Barnsley's third** fractal. + +With keys SHIFT-A you can display a fractal called **octo**. It is a fractal +that Thomas discovered in fractint. + +With keys SHIFT-B you can display a fractal called **Phoenix**. It is a very +nice and quite famous fractal. + +With keys SHIFT-C you can display a fractal called **Magnet**. This fractal has +quite a complex formula so it is a bit slow. + +With keys SHIFT-D you can display the **Magnet2** fractal. + +The rest of the built-in fractals are accessible through an other menu, but you +can still use the hotkeys. + +On SHIFT-E is a fractal called **Triceratops** found by Arpad. + +On SHIFT-F is a fractal called **Catseye** found by Arpad. This is more +interesting if you change the bailout value. + +On SHIFT-G is a fractal called **Mandelbar**. It was in Gnofract4d, and they +found it at: http://mathworld.wolfram.com/MandelbarSet.html + +On SHIFT-H is the **Lambda** fractal. + +On SHIFT-I and SHIFT-J are the **Manowar** and **Spider** fractals, they were +found by users of fractint. (Scott Taylor or Lee Skinner) It was on +http://spanky.triumf.ca/www/fractint/ taylor_skinner_type.html + +The next 3 fractals are famous classic fractals. + +On SHIFT-K is the **Sierpinski** Gasket. You can change its shape by selecting +another Julia seed. (This is for technical reasons.) + +On SHIFT-L is the **Sierpinski Carpet.** It's shape can also be changed by +selecting another Julia seed. + +On SHIFT-M is the **Koch Snowflake.** + +Out-coloring modes +------------------ + +To make fractals yet more interesting, more coloring modes for points outside +the set are provided. "Classical coloring mode" uses the number of iterations +that the orbit required to escape to (nearly) infinity. You can change this +mode from the **Fractal menu** or by pressing key C To see more about coloring +modes, try the tutorial on :tutor:`Incoloring modes <incolor.xaf>` from +the XaoS features overview. + +Those cryptic names for coloring modes are mathematical formulae, where +**iter** means number of iterations, **real** means real coordinate of last +orbit, and **imag** means imaginary coordinate of last orbit. + +In-coloring mode +---------------- + +In-coloring mode is similar to out-coloring, except that it changes how things +inside the set are displayed. This can also be changed from the **fractal +menu** or by pressing F. + +You might also want to see the tutorial on :tutor:`Out-coloring modes <outcolor.xaf>` from the XaoS features overview. + +Planes +------ + +All fractals displayed by XaoS are functions with a complex parameter. It can +be displayed in the normal complex plane, where x is the real part of the +number, and y is the imaginary part; but it can also be displayed in a number +of other planes. You can select the plane to use from the **Fractal menu**, or +by pressing I. + +Like the coloring modes, planes have cryptic names. You guessed it, they're +mathematical formulae. Here mu means coordinates in the normal complex plane. +If you have coordinates in 1/mu plane, and you need coordinates in the a +complex plane (to calculate the Mandelbrot set) you simply use the coordinates +as mu. Lambda is another plane that can be converted to mu using a similar +formula. + +mu + + normal mode. + +1/mu + + Inversion: infinity goes to 0 and 0 goes to infinity. + +1/(mu+0.25) + + Similar to inversion, but moves the center outside of the Mandelbrot set so + that it looks parabolic. + +lambda + + Lambda plane. + +1/lambda + + Inversion of lambda plane. + +1/lambda-1 + + Inversion with moved center. + +1/(mu-1.40115) + + A very interesting mode for the Mandelbrot set. It makes small things big, + so you can browse the set's details easily. + +Mandelbrot/Julia switching +-------------------------- + +Most of the fractals displayed by XaoS (currently all of them) have two forms: +Mandelbrot and Julia. Every point in a Mandelbrot set has its own Julia set. To +see more about this correspondence, try the tutorial on :tutor:`Julia set <julia.xaf>` from the Introduction to fractals. + +In the Mandelbrot mode, you can get a corresponding Julia by moving the mouse +to an interesting point and pressing M. To get back press M again. Some +fractals (Barnsley and phoenix) are already in their Julia versions, because +the Mandelbrot ones are boring. But by pressing M in such fractal you should +get the Mandelbrot version, and by choosing another point as the base point and +pressing M again you should get a completely different fractal. The most +interesting points for Julia sets are at the boundaries of the Mandelbrot set. +Most of the Julias inside or outside the set are boring. + +Fast Julia preview mode +----------------------- + +Fast Julia mode is a quick way to find a point to use as a base for the Julia +set.. Just press J and a small Julia set will be displayed in the top left +corner. Then move the mouse around with button 1 depressed, and the Julia for +the point the mouse is over will be automatically generated. + +Palette +------- + +If you think that the default XaoS colors are ugly or you are just bored by +them you can change it by pressing P. XaoS will automatically generate random +palettes. Many of them look ugly, so press P again to get another one until you +find one you like. + +Filters +------- + +Many interesting effects are done by post-calculation :ref:`filters <filter>`. +XaoS has filters that do everything from embossing, through motion-blurring, +right through to turning the fractal into a stereogram. To enable them use the +filter menu or press E. + +Palette cycling +--------------- + +This is a very old trick that makes the Mandelbrot set a little flashier. You +may enable or disable it using Y. In the truecolor modes you need to enable the +:ref:`palette emulator filter <palettef>` first. This is done via the E key, or +from the filter menu. + +Changing number of iterations +----------------------------- + +To calculate fractals perfectly, you need an infinite number of iterations. +XaoS does just the first few of them, so after lots of zooming you may get into +a place that looks quite boring, and the boundaries of the set are rounded, +without any interesting details. This can be changed by changing the number of +iterations: + +Press and hold arrow right and wait until iterations are high enough. This may +slow down calculation much. To reduce number of iterations press arrow left. + +Changing resolution +------------------- + +XaoS usually starts in a low resolution (320x200 or thereabouts) to make +calculations faster. If you have a fast computer or you need to save bigger +.gif images, you may change the resolution. This can be done by pressing = in +the full screen drivers, or simply by resizing the XaoS window. + +Changing driver +--------------- + +XaoS usually has more than one driver available. You may change it on the fly +in case you want a different one. For example, XaoS started in X11 can be +switched at runtime to use the AA driver. This can be done from the UI menu. + +This action is bit dangerous, because XaoS can crash during initialization if +there is some problem with initialization; XaoS tries to initialize a new +driver, and if it fails it attempts to return back to the original. Sometimes +this is impossible, and all XaoS can do is terminate.. + +Other features +-------------- + +XaoS has many other features, but they don't fit into this tutorial. Most of +them are available from the menu, so you can experiment with them. You might +also want to see the **animated tutorials** from the **help menu**, to have an +idea what XaoS can do. |