Explore the fractal manifold for the Sierpinski triangle
If running in this window is slow then download the applet.
For the mathematics behind this read the papers Fast Basins and Branched Fractal Manifolds of Attractors of Iterated Function Systems and Basic Topological Structure of Fast Basins.
Geogebra applet brought to you by Krzysztof Lesniak.
The applet is shared on GeoGebra.org under address https://www.geogebra.org/m/u43mWStD
The offline worksheet is available here https://www.dropbox.com/s/8v7hmte57g7tbsj/mu43mWStD-Sierpinski-fractal-manifold.zip?dl=0 (100MB, runs in browser; just in case future GeoGebra engine is no longer compatible with the current ver.5.0.286).