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And squares whose sides decrease by the plastic ratio (about 1.324). At one moment the spiral of five squares make one full turn.
#animation #loop #CreativeCoding #geometry #Geogebra #tiling #MathArt #pattern #GraphicDesign #design #GoldenRatio #PlasticRatio

Now for equilateral triangles whose sides decrease by the plastic ratio (about 1.324). A slow version so that the plastic pentagon is clearer https://en.wikipedia.org/wiki/Plastic_ratio#Plastic_pentagon

The plastic ratio is probably not as well-known as the golden and silver (√2) ratios?

Now squares increasing by the golden ratio

Looping animation of silver rectangles with sides decreasing by 1/√2.

@MashedMen Thanks, I was going to do more but the existing construction does not generalise well. Here are the key shapes for twelve-pointed stars.

This one has regular octagons and rhombuses.
#animation #loop #CreativeCoding #IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #GraphicDesign #design

This animation has two different kinds of white shape. Curiously, I made this before the ones with only one kind of white shape. This one has two sizes of squares.
#animation #loop #CreativeCoding #IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #GraphicDesign #design

Eight- and four-pointed stars using different angles.
#animation #loop #CreativeCoding #IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #GraphicDesign #design

No scrolling needed for eight- and four-pointed stars like this classic stars and crosses pattern.

And a generalisation that needed more to work to do.
#animation #loop #CreativeCoding #IslamicPattern #geometry #geogebra #tiling #MathArt #pattern #GraphicDesign #design

... and there's the pattern construction. It's messy, but you can build it entirely from an 8-pointed 90° star