https://peertube.linuxrocks.online/videos/watch/7a585c05-76b3-484d-8f2f-70150bd9a244 This OpenSCAD script demonstrates the math behind Spiral Phyllotaxis. Phyllotaxis is a term used for patterns that emerge during the growth of plants. Spiral Phyllotaxis is observed in the heads of sunflowers, in pine-cones and pineapples, and in a variety of other plants. The script that I wrote uses a mathematical description of Spiral Phyllotaxis called Vogel’s formula. Vogel’s formula actually exists of two equations, one for an angle theta, and one for a radius, describing the a pattern of seeds in a sunflower head. I’ll put a link in the description if you want to know more about Vogel’s formula. These simple equations can generate beautiful patterns that have some interesting mathematical properties. The script can be downloaded here: https://my.hidrive.com/lnk/e4IsXCzTq For the relation between Phyllotaxis and the Fibonacci sequence watch this YouTube video https://www.youtube.com/watch?v=_GkxCIW46to&t=210s More information on the mathematical creation of Spiral Phyllotaxis can be found in these links http://www.mathrecreation.com/2008/09/phyllotaxis-spirals.html https://maxwelldemon.com/2012/03/18/prime-phyllotaxis-spirals/ http://www.algorithmicbotany.org/papers/abop/abop-ch4.pdf https://www.youtube.com/watch?v=KWoJgHFYWxY (Daniel Schiffman) More information about OpenSCAD and 3D CAD can be found on my blog: homehack.nl OpenSCAD is open source (GPLv2 license) and is well maintained by Marius Kintel et al. Besides the stable releases for Windows, OSX and Linux, development snapshots are available. I recommend using these development snapshots since they have all the latest features. Music: 4 Guitars by Stefan Kartenberg (c) copyright 2016 Licensed under a Creative Commons Attribution Noncommercial (3.0) license. http://dig.ccmixter.org/files/JeffSpeed68/55279 Ft: Aussens@iter (tobias_weber) Tue, 07 Jul 2026 06:30:44 GMT https://validator.w3.org/feed/docs/rss2.html PeerTube - https://peertube.linuxrocks.online https://peertube.linuxrocks.online/client/assets/images/icons/icon-1500x1500.png https://peertube.linuxrocks.online/videos/watch/7a585c05-76b3-484d-8f2f-70150bd9a244 All rights reserved, unless otherwise specified in the terms specified at https://peertube.linuxrocks.online/about and potential licenses granted by each content's rightholder.