Symmetric Binary Trees with Branching Ratios Larger than 1

Nick Mendler and Vincent J. Matsko
Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture
Pages 507–510 Short Papers


Here, we explore symmetric fractal binary trees with branching ratio greater than or equal to one. We then provide a relationship between trees with reciprocal ratios which illustrates a duality between trees with branching ratios smaller than one and trees with branching ratios larger than one. In addition, we present examples of digital artwork based on these binary trees.