Photographic Fractal Trees

Robert W. Fathauer
Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011)
Pages 105–112 Regular Papers


We present several fractal trees created by iterating building blocks constructed from photographs of real trees. The use of photographs of different types of trees, along with variation of the parameters available for construction of the trees, allows a wide variety of forms to be realized. The trees shown have self-similarity fractal dimension varying from 1.45 to 2.17, and infinite series have been used to characterize the number of branches and the area of the trees. Randomization of the construction process is demonstrated to yield less regular and more naturalistic tree forms.