Sunflower fractal: Difference between revisions

=={{header|Fōrmulæ}}==

{{FormulaeEntry|page=https://formulae.org/?script=examples/Sunflower_model}}

'''Solution'''

The method consists in drawing points on a spriral, an archimedean spiral, where two contiguous points are separated (in angle) by the golden angle.

Because the points tend to agglomerate in the center, they are smaller there.

[[File:Fōrmulæ - Sunflower model 01.png]]

[[File:Fōrmulæ - Sunflower model 02.png]]

[[File:Fōrmulæ - Sunflower model 03.png]]

'''Improvement'''

Last result is not natural. Florets in a sunflower are all equal size.

H. Vogel proposed to use a Fermat spiral, in such a case, the florets are equally spaced, and we can use now circles with the same size:

[[File:Fōrmulæ - Sunflower model 04.png]]

[[File:Fōrmulæ - Sunflower model 05.png]]

[[File:Fōrmulæ - Sunflower model 06.png]]