New Kinds of Fractal Patterns

Douglas Dunham and John Shier
Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture
Pages 111–116 Regular Papers


In the past we have shown how to create fractal patterns. We extend that work in three different directions. First we show how to create locally fractal patterns that have p6 symmetry. Then we modify the basic algorithm to orient motifs according to their positions. Finally we extend the algorithm to create a complex realistic-looking motif, producing an aesthetically pleasing pattern.