Turing's sunflower (opens in new tab)

(jacquerie.github.io)

94 pointsjnotarstefano11y ago8 comments

8 comments

Vi 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. Links to the other ones can be found in the description.

laumars11y ago

I 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 :)

jnotarstefanoOP11y ago

Another 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

sitkack11y ago

This kids, is what happens when you recursively ask the question, "Why?" and and answer it seriously. Made my day.

abecedarius11y ago

I made another toy like this: http://wry.me/hacking/powersp.html

https://en.wikipedia.org/wiki/Phyllotaxis#Phyllotaxis_and_ma... for links to more of the math.

sharmajai11y ago

Looks like this is what Nest Protect uses for its mesh design: https://nest.com/smoke-co-alarm/life-with-nest-protect/

statik_4211y ago

Fascinating stuff, thanks for sharing!

mrcactu511y ago

z_{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

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