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golden angle spirals, colored

CRcrkcity•Created March 31, 2021
golden angle spirals, colored
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Instructions

Choose number of colors and click flag. Altering number of colors highlights different spiral patterns. The angle that best fills the space is 137.5 degrees. You can try other angles. Hold shift key while clicking flag for "turbo" speed.

Description

Choose a Fibonacci number (such as 3, 5, 8, or 13) of colors to best highlight spirals. The colors help you see many different spiral patterns, some clockwise, others counterclockwise. Florets start from the center and turn the golden angle (137.5 degrees, but you can alter this angle to see how it affects the spirals). The golden angle turn of 137.5 degrees is the best way to fill space, and causes the number of clockwise and counterclockwise spirals to be Fibonacci numbers (such as 5, 8, 13, 21, 34, 55, 89, 144....). Altering number of colors highlights different spiral patterns. Sunflowers, daisies and other flowers have this type of spiral patterns. We produced the very similar programs in Python and NetLogo to provide a comparison: https://lifepatternsemerging.com/spirals

Project Details

Project ID510007109
CreatedMarch 31, 2021
Last ModifiedDecember 11, 2021
SharedMarch 31, 2021
Visibilityvisible
CommentsAllowed