Agnes Scott College
Larry Riddle, Agnes Scott College

Golden 144° Symmetric Binary Tree

Taylor observed that a golden 144° symmetric binary tree with four additional copies rotated by 72° around the bottom of the trunk will form a "golden Koch snowflake" with their branch tips. [Proof]
 
 
 

snowflake1b

 
 

References

  1. Taylor, Tara. Computational Topology and Fractal Trees, Ph.D. Thesis, Dalhousie University (2005).
  2. Taylor, Tara. "Finding Gold in the Forest: Self-contacting Symmetric Binary Fractal Trees and the Golden Ratio".
  3. Taylor, Tara. "Excursions through a Forest of Golden Fractal Trees", in The Beauty of Fractals: 6 Different Views, eds. Denny Gulick and Jon Scott, Mathematical Association of America, 2010. [Excerpts available at Google Books]