Fractal Canopy
In geometry, a fractal canopy, a type of fractal tree, is one of the easiest-to-create types of fractals. 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.Bello, Ignacio; Kaul, Anton; and Britton, Jack R. (2013). ''Topics in Contemporary Mathematics'', p.511. Cengage Learning. . 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: #The angle between any two neighboring line segments is the same throughout the fractal. #The ratio of lengths of any two consecutive line segments is constant. #Points all the way at the end of the smallest line segments are interconnected, which is to say the entire figure is a Graph (discrete mathematics)#Connected graph, connected graph. The pulmonary system used by humans to breath ...
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