This is a twelve level three-branched tree with 144° (obtuse!) angles between its branches at each node throughout the tree. The branches grow in length by the Golden Ratio (phi) on each level away from the trunk in the center. Ternary Tree Star (version 1.618) is one of an infinity of five-pointed stars with common ratios ranging from phi (1.618...) up to two (2.0). I found that the Golden Ratio organizes the lines crossing through the interior of the star more highly than other common ratios do, so that a geometric pattern is formed by the white space as well.
Ternary tree stars are also members of a larger family of polygon-, grid-, and star-shaped patterns formed by geometric trees (Geom-e-Trees) at special angles.
Tree Story - The single root, or trunk of the tree. This is the 1st level. - The trunk with three branches and two obtuse angles. This is the 2nd level. - The 8th level tree has 3,280 lines.
The 12th level tree scaled for this sequence would be 44” tall.This digital print is the 12th level tree with 265,720 lines!