L-systems
From GenerativeArt
(Difference between revisions)
| + | __FORCETOC__ | ||
| + | L-systems are used to describe and generate branching structures or geometric objects that exhibit self-similarity. Such structures may be 2D, 3D, or potentially in higher dimensions. L-systems are frequently used to generate computer graphic renderings of trees, bushes, grasses, and other plant life. L-systems can also be used in the exploration of fractals. | ||
| + | |||
| + | The "L" in "L-system" refers to its inventor <em>Aristid Lindenmayer.</em> Such systems produce a string expression that can be rendered into graphics. The string is essentially a series of commands for moving a virtual pen. The commands are executed from left to right. (From a historical perspective this is similar to Logo's "turtle graphics"). | ||
| + | |||
== Rendering L-system Command Expressions == | == Rendering L-system Command Expressions == | ||
| - | |||
<SPAN STYLE="font-size: larger;">Introductory example </SPAN> | <SPAN STYLE="font-size: larger;">Introductory example </SPAN> | ||
| + | <br><br> | ||
| - | + | To render an L-system expression both a set of system constants and a set of command symbols must first be defined. The following example demonstrates the rendering of a typical basic L-system result. | |
| - | + | <br><br> | |
| - | + | ||
| - | + | ||
| - | + | ||
| - | + | ||
| - | + | ||
<SPAN STYLE="font-size: larger;"><u>System Constants</u></SPAN> | <SPAN STYLE="font-size: larger;"><u>System Constants</u></SPAN> | ||
