HYBRID FRACTALS

Welcome to the world of fractals

Nature

Hanoi Attractor

and discrete graph approximation, July 31st, 2017

Hanoi Attractor is a mixture of Sierpinski Gasket and intervals. To construct a graph approximation, start with a triangle and six inner functions, where $F_1, F_2, F_3$ are contraction maps to 3 small copies of Hanoi Attractor and $F_4, F_5, F_6$ are projections to the intervals.


Norway

Quantum Graphs

another way of approximating the Nahoi Attracotr, Aug 4th, 2017


Norway

$SG_3$

An Interesting Hybrid Fractal Aug 4th, 2017


Code

Experiment with these beautiful graphs, April 2, 2014


Authors

Haotian Gu, Yuming Chen, Robert Strichartz and Zirui Zhou


Other Useful links

Families of Symmetric, Self-similar Laplacians on Sierpinski Gasket

Analysis on Projective Octagasket

Code: Hanoi Attractor, SG3 and Quantum Graphs