The quadtree subdivision algorithm recursively partitions the plane into four quadrants where there is a graphical element. (In the 3D octree algorithm, each partition is into eight octants.) The subdivision can be encoded as a tree for fast rendering in computer graphics. This is illustrated with generations of a fractal tree. Drag the two locators to vary the graphics.
 Wikipedia. "Octree." (Dec 19, 2012) en.wikipedia.org/wiki/Octree.
 Wikipedia. "Quadtree." (Dec 16, 2012) en.wikipedia.org/wiki/Quadtree.
Wolfram Demonstrations Project
Published: January 3 2013