New Sunflower Applet: Fibonacci and the Golden Angle

Here’s a new applet I created (simply because I haven’t made one in a while and thought it’d be fun). Look at how different angles result in different sunflower configurations by clicking the picture below.

Image2

Why is the golden angle 137.5 degrees? If you’re struggling to figure it out based on the standard derivation of the golden ratio then there’s a few videos on youtube that’ll help.

Advertisements
This entry was posted in Uncategorized. Bookmark the permalink.

3 Responses to New Sunflower Applet: Fibonacci and the Golden Angle

  1. Nice graphic – could you explain how the pattern is being generated? r = radius, but then how do the alpha and angle values generate the circles?

  2. Hey,

    The angle which the point is being rotated through is of course not alpha (the slider). When you put the input angle into the box (called that ang in the applet), the angle that the point is being rotated around by is theta = ang*alpha. Hence if ang=137.5 then the first rotation will of course be theta=137.5*1 degree, the second will be theta=137.5*2 degrees, so the rotation angle is always a multiple of the input angle.

    The points appear due to the sequence function – it basically fixes the point every time it is rotated. If you download the applet then you’ll see the Sequence function is simply the original point with the sequence variable (usually use i for this) ‘artificially’ added in.

    Hope that helps.

  3. thanks – that make sense 🙂

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s