Warning: strtotime() [function.strtotime]: It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected 'UTC' for 'GMT/0.0/no DST' instead in /home/harveyli/public_html/admin/functions/front_functions.inc.php on line 18

Warning: strtotime() [function.strtotime]: It is not safe to rely on the system's timezone settings. You are *required* to use the date.timezone setting or the date_default_timezone_set() function. In case you used any of those methods and you are still getting this warning, you most likely misspelled the timezone identifier. We selected 'UTC' for 'GMT/0.0/no DST' instead in /home/harveyli/public_html/admin/functions/front_functions.inc.php on line 18
Extras articles - harveyline

harveyline extras

Phlower

Return to article on phi, golden ratio, Fibonacci and plant growth

A Flash app to show the relationship between phi and the distribution of petals and leaves in plants.

Click on a petal shape to start the animation. Click and drag the tree branches for additional controls to create original plant growth patterns. The default setting for the spiral slider is phi. Changing the phi slider changes the angle of the “turn” for the successive petals and can create some interesting abstract "plant-like" forms.

 

If you are seeing this message it means your browser needs some adjustment.

To view the eCard you need to have the Flash Player installed in your browser. If you would like to download the Flash Player, please click on the button.

Get Adobe Flash player

You will be taken to the page on the Adobe website where you can download the player.

Without the Flash Player you will not be able to see the animated eCards or the videos on harveyline.

 

For the purposes of the animation, the petals are added at the edge of the plant, using the angle of 137.5deg. In real plants, petals at the edge are the oldest, with new petals added at the centre.

The ActionScript code for Phlower was based on that published by Gabriel Mulzer in Flash Math Creativity. FriendsofEd 2nd Edition 2004. The book contains a large number of elegant Flash experiments that combine art and mathematics to generate complex images from sometimes astonishingly small amounts of code.

14DEC08

Copyright © harveyline 2010-2011 | Website by Aberdeen Web Design