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FRACTINT is a very nicely designed program which enables the
user to draw and explore a large variety of fractal shapes. The
principal authors are Bert Tyler, Timothy Wegner, Mark Peterson, and
Pieter Branderhorst, although many others have made contributions.
The authors have made their program available to anyone free of
charge. It can be used on an IBM PC or compatible with virtually any
kind of graphics adapter.
- Starting FRACTINT :
- To start FRACTINT at the MLRC, get someone to show
you how to access the main menu on the ATT PC's and then select
Fractals on the main menu (by pressing F). When FRACTINT
starts, it displays a list of contributing authors. After
memorizing this list, press any key to obtain FRACTINT 's main menu.
- Trouble:
- If any trouble occurs at any point, you can usually
get out of it by pressing the escape key Esc, perhaps repeatedly.
- Main Menu:
- FRACTINT commands are usually entered by a single
keystroke. The key to press is displayed after the name of the
command on the menu. You can also use the cursor keys
,
,
, and
to move
the highlighted area to the command you want. Pressing
Enter then executes the command. When the main menu starts,
the highlight is over the command select-video-mode.
- Help:
- Push F1 (the function key at the top left of the
keyboard) at any point to get the on-line help documentation. You
will be presented with a list of commands and descriptions. Other
commands within the help system are given at the bottom of the
screen. To leave the help system, push Esc.
- Sample Run:
- We will illustrate the use of FRACTINT with one
example.
- Press t to select the fractal type. A large collection of
different fractal types will be displayed. You can use the cursor
keys to move the highlight over the one you want. If you press F2,
you will see a brief description of that type.
- Type ls and the highlight will automatically move to the
type lsystem. In general, just the first few letters are
enough to select a type. Now press Enter.
- FRACTINT now displays a lengthy list of what are called Lindenmayer
systems (L-systems for short). These are fractals that are generated
from a particular type of recursive recipe. Select the type
KochCurve (by either using the cursor keys or typing the first
few letters of the name of the type) and press Enter.
- FRACTINT now displays the formula for this fractal and requests the
order to which you wish to repeat the formula. Most fractals
have a recursive structure in the sense that you repeat the same
basic rules over and over to draw the fractal. The default order or
number of repetitions is 2. First type 7 followed by Enter.
- FRACTINT returns to the main menu because it wants you to select a
video mode for your screen. Press Enter or Del at
the main menu.
- The possible video modes that work with our PC's are F3,
F4, F10, or Shift-F1. Press any of these
function keys and FRACTINT will start to draw the fractal.
- After a minute or two, you will see the Koch Snowflake fractal
(up to order 7). To see how this is generated, let's try a lower
order like 0. To reenter the order, type z.
- Then enter 0 followed by Enter. The order 0 version is
just a straight horizontal line.
- Repeat the last two steps for order 1. You now see that the
middle third of the original horizontal line has been replaced by
the top of an equilateral triangle. This is the general rule for
this fractal.
- Try order 2 now and you will again see every middle third of
every line segment in the oder one version has been replaced by the
top of an equilateral triangle.
- You can carry out this kind of experiment for any fractal type
in FRACTINT .
- Quitting:
- To quit, push Esc repeatedly until the program asks
if you want to exit. Then answer y.
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David J. Wright
Tue Jan 16 16:22:41 CST 1996