Ingeometry, afractal canopy, a type offractal tree, is one of the easiest-to-create types offractals. Each canopy is created by splitting a line segment into two smaller segments at the end (symmetric binary tree), and then splitting the two smaller segments as well, and so on, infinitely.[1][2][3] Canopies are distinguished by the angle between concurrent adjacent segments and ratio between lengths of successive segments.
A fractal canopy must have the following three properties:[4]
Thepulmonary system used by humans to breathe resembles a fractal canopy,[3] as dotrees,blood vessels,viscous fingering,electrical breakdown, andcrystals with appropriately adjusted growth velocity from seed.[5]
Main article:H tree TheH tree is afractal tree structure constructed fromperpendicularline segments, each smaller by a factor of thesquare root of 2 from the next larger adjacent segment. It is so called because its repeating pattern resembles the letter "H". It hasHausdorff dimension 2, and comes arbitrarily close to every point in arectangle. Its applications includeVLSI design and microwave engineering. |  |
