ifsfract

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Applet Tutorials: Ifsfract

IFS-fractal tree Applet

This applet simulates a L-system fractal tree, which morphs and rotate periodically. A L-system or Lindenmayer system is a formal grammar which generate strings by a set of rules. By applying the rules recursively to an initial string, the string with fractal structure is generated. An interesting point is that although the rule itself can be very simple, after many iterations, the result is complex enough to represent the real world phenomena. For example, some graphical interpretations of a L-system can show a realistic compound leaf or branch. In fact, this applet is a L-system fractal tree generator.

[For more technical information about the available parameters, click here.]

Most parameters are self-explanatory and you can always see brief description of each parameter by moving the mouse pointer over the wizard.

First, set the applet size at "Width" and "Height" boxes, and select either background image or colour (shown at left-below image).

If you need text scrolling, then, check "Enable textscroll" box.

You can choose if the fractal tree is rendered over the text by checking "Over text" box.
	Second, you will define the movement of fractal trees. "Dimension" represents the number of iterations of adding branches to an initial tree trunk. The IFS-fractal tree grows up following restrictive branch-adding rules.
"Branch" parameter defines how many new branches are added to an existing branch per iteration. So, the larger values for "Dimension" and "Branches" mean more complex tree generated. The motion of the tree is defined by three parameters: (1) Morph speed, (2) Rotation speed, and (3) Rotation speed 2: (1) Morph speed decides how fast the whole tree changes its shape. (2) Rotation speed decides how fast each branch of the tree rotates. (3) Rotation speed 2 decides the rotation speed of the whole tree. Next, look at below-left picture and find "Length" parameter. This is the length of an initial tree trunk. After every iteration, shorter branches are added first to the initial trunk and after that each branch. "Decline" parameter (normally, 0 < "Decline" < 1) controls the magnification of branch length per iteration. For example. 0.75 for the value gives 25% decrease of the length for each iteration. Note: A value for "Decline" can be more than 1. However, it is unnatural to see such a tree! For instance, 1.25 gives 25% increase of the length for each iteration.
	"Pen size" sets the constant thickness of a branch up to size 3. Or, alternatively, you can use a progressive pen with your choice of progressive speed at "Pen progr. step". To do that, just check "Progress" box and enter a value between 1 and 16 in "Pen progr. step" field.

You can also inverse the progression by checking "Prog. inverse" box.

"Iterskip" is totally a different parameter. With this parameter enabled, some joints between branches are skipped to be rendered, so it produces a strange effect.

Finally, select the gradient colour painted over the whole fractal tree at "First colour" and "Last colour".

We have only discussed about the ifsfract specific parameters. For generic parameters, please read wizard section.

Proceed to the textscroll menu if you have checked the textscroll box; otherwise go to the expert menu.

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