ScratchData LogoScratchData
Back to crkcity's profile

Phi Fantasy (a golden angle mystery)

CRcrkcity•Created October 20, 2021
Phi Fantasy (a golden angle mystery)
2
0
32 views
View on Scratch

Instructions

Click flag. See a diversity of spirals arising from turning the golden angle, 137.5077... degrees, the angular version of Phi, the golden ratio. Why do these patterns result from this very brief and simple code?

Description

The colors show many different spiral patterns, some clockwise, others counterclockwise. The sprite starts from the center and turns the golden angle (137.50776405...degrees). This golden angle turn 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....), but hard to count in this one. Sunflowers, daisies and many other flowers have florets that form these type of spiral patterns. But something more is going on here. ???

Project Details

Project ID586470644
CreatedOctober 20, 2021
Last ModifiedOctober 29, 2021
SharedOctober 20, 2021
Visibilityvisible
CommentsAllowed