Cococubed.com Phyllotaxis Animations
Home Astronomy research Software instruments Presentations Illustrations cococubed YouTube Bicycle adventures Public Outreach Education materials      Solar Systems Astronomy      Energy in Everyday Life      Geometry of Art and Nature      Calculus 2023 ASU Solar Systems Astronomy 2023 ASU Energy in Everyday Life AAS Journals AAS YouTube 2023 MESA VI 2023 MESA Marketplace 2023 MESA Classroom 2022 Earendel, A Highly Magnified Star 2022 White Dwarfs & 12C(α,γ)16O 2022 Black Hole Mass Spectrum 2022 MESA in Don't Look Up 2021 Bill Paxton, Tinsley Prize Contact: F.X.Timmes my one page vitae, full vitae, research statement, and teaching statement.	Here are the phyllotaxis movies that I use in my Geometry of Art and Nature class. Either grab the animated gifs shown below or click on one to get a mp4 movie version. The small tool in fib.f90.tbz generates data files containing the (x,y) positions of the N particles. Each data file can be plotted to form one frame of a movie. 0.5 turns per seed 0.48 turns per seed 0.6 turns per seed 0.61 turns per seed e turns per seed π turns per seed root 2 turns per seed φ turns per seed near φ turns per seed