10765
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Sunflower Seed Arrangements
This Demonstration shows the distribution of sunflower seeds as a function of the number of seeds [1]. Generally, sunflowers have 800–2000 seeds. The function has the form
,
, where
is the golden ratio and
is an arbitrary constant (here
).
Contributed by:
Joost de Jong
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] H. Vogel, "A Better Way to Construct the Sunflower Head,"
Mathematical Biosciences
,
44
(3–4), 1979 pp. 179–189. doi:
10.1016/0025-5564(79)90080-4
.
RELATED LINKS
Fibonacci Number
(
Wolfram
MathWorld
)
Golden Ratio
(
Wolfram
MathWorld
)
Phyllotaxis
(
Wolfram
MathWorld
)
Phyllotaxis Spirals
(
Wolfram Demonstrations Project
)
Phyllotaxis Spirals in 3D
(
Wolfram Demonstrations Project
)
Pine Cone
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Joost de Jong
"
Sunflower Seed Arrangements
"
http://demonstrations.wolfram.com/SunflowerSeedArrangements/
Wolfram Demonstrations Project
Published: January 3, 2013
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Flower and Seed Spirals
Jay Warendorff
Modeling Photosynthetic Responses to Light
Carl J. Bernacchi, Justin E. Bagley, Shawn P. Serbin, Ursula M. Ruiz-Vera, David M. Rosenthal, and Andy VanLoocke
Modeling Photosynthetic Responses to Temperature
Carl J. Bernacchi, Justin E. Bagley, Shawn P. Serbin, Ursula M. Ruiz-Vera, David M. Rosenthal, and Andy VanLoocke
Modeling Photosynthetic Responses to Carbon Dioxide
Carl J. Bernacchi, Justin E. Bagley, Shawn P. Serbin, Ursula M. Ruiz-Vera, David M. Rosenthal, and Andy VanLoocke
Apple Image
Frederick Wu
Pathogen Spillover Effects on Coexistence of Competing Host Species
Erin A. Mordecai
Virtual Flowers with Crispate Petals
János Karsai (University of Szeged)
Richards Growth Curve
Georgii Alexandrov
A Forest Growth Curve
Georgii Alexandrov
Local Growth in an Array of Disks
pt by: Stephen Wolfram
Related Topics
Biology
Patterns
Plant Biology
Sequences
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+