Turing's sunflower(jacquerie.github.io)

94 pointsby jnotarstefanovor 12 Jahren8 comments

jacquerie.github.io

http://jacquerie.github.io/sunflower/

5 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.

laumarsvor 12 Jahren

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 :)

jnotarstefanovor 12 Jahren

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

sitkackvor 12 Jahren

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

abecedariusvor 12 Jahren

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.

sharmajaivor 12 Jahren

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

statik_42vor 12 Jahren

Fascinating stuff, thanks for sharing!

mrcactu5vor 12 Jahren

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