Fractal plantations

The applet draws fractals of type IFS by the chaos game method. Additional, the IFS figure is transformed by a hierarchy transformation system. The results are interesting fractal plantations like the Sierpinsky-Crystal and the Fern-Sierpinsky. Choose a figure and a hierarchy system from the choices above. All of the transformation systems in the left choice could be combined with those of the right choice in order to create many different image types. The upper checkbox decides whether the base figure is shown or not.

Get the source code

The Fractal Plantations Applet

Leaf Plantation

Moving the circles which show the fixed points of the transformations (similiar to IFS II) will multiply image variations. If you drag a single circle to a different place (unfilled for figure functions and filled for hierarchy functions) you will change one function's behavior and therefor form a new figure. Dragging one circle with the right mouse button will only move the whole figure or hierarchy system.

The factor initialized with the value "5" is responsible for the relation in use of the figure and the hierarchy transformation system. If you set the factor to "1" only the base figure will be drawn (you'll see nothing with base figure switched off!). Rising the factor will give the hierarchy system more influence. A factor of "50" takes the effect that only the hierarchy figure could be identified (except of the base figure, if switched on).


Math&Art Gallery


Galerie Cosch


© 2007 Ulrich Schwebinghaus