9 ms·
Turing's sunflower
- symmetricsaurus 12y agoVi Hart made an excellent series of videos related to plants and Fibonacci numbers. Here is the first one: https://www.youtube.com/watch?v=ahXIMUkSXX0 https://www.youtube.com/watch?v=ahXIMUkSXX0. Links to the other ones can be found in the description.
- jnotarstefano 12y agoAnother excellent source on this topic is a book I cited in the code comments called "The Algorithmic Beauty of Plants" by Prusinkiewicz and Lindenmayer, available online here: http://algorithmicbotany.org/papers/#abop http://algorithmicbotany.org/papers/#abop
- laumars 12y agoI absolutely love Hart's presentation style in that video. It's so refreshing to see maths presented at a decent pace but still be easy to follow. And the quirkiness of the delivery only serves to make those videos more watchable. Thank you for the recommendation. I'll definitely be subscribing to her channel :)
- sitkack 12y agoThis kids, is what happens when you recursively ask the question, "Why?" and and answer it seriously. Made my day.
- statik_42 12y agoFascinating stuff, thanks for sharing!
- sharmajai 12y agoLooks like this is what Nest Protect uses for its mesh design: https://nest.com/smoke-co-alarm/life-with-nest-protect/ https://nest.com/smoke-co-alarm/life-with-nest-protect/
- abecedarius 12y agoI made another toy like this: http://wry.me/hacking/powersp.html http://wry.me/hacking/powersp.html https://en.wikipedia.org/wiki/Phyllotaxis#Phyllotaxis_and_mathematics https://en.wikipedia.org/wiki/Phyllotaxis#Phyllotaxis_and_ma... for links to more of the math.
- mrcactu5 12y agoz_{n+1} = (1 - 1/q^2)z_n where z_n are the continued fraction approximations of the square of the Golden ratio phi^-2