The Golden Icosahedron

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The Golden Icosahedron

The Platonic Icosahedron has twenty faces which are equilateral triangles. In the Golden Icosahedron, twelve of those triangles (the yellow ones) have been replaced by acute, isosceles triangles with a leg:base ratio which is the Golden Ratio.

To try the software I used to make this, just visit http://www.software3d.com/stella.php.

Golden Rainbow Star

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Golden Rainbow Star

Triskelion Based on the Golden Ratio

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Triskelion Based on the Golden Ratio

Incongruous Mandala

There’s no relationship (of which I am aware) between the Golden Ratio and regular hexagons — so of course I had to try to combine them. The results are yours to judge.

mandala

Mandala with Golden Rectangles

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Mandala with Golden Rectangles

Eight Golden Spirals

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Eight Golden Spirals

Another Construction of the Golden Rectangle

As if one were needed:

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Golden Spectral Crystallization

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Golden Spectral Crystallization

Created using Geometer’s Sketchpad and MS-Paint.