An Icosahedron, Augmented with Twenty Great Icosahedra

An Icosahedron, Augmented with Twenty Great Icosahedra

The picture above uses symmetry to divide the faces of this polyhedral cluster into color groups. This next one puts faces in the same color-group if and only if they are parallel.

icosa  Augmented with Great Icosa with parallel faces a color-set

Stellating this once yielded this result, again colored by face-type, like the first image here:

1st stellation of great icosa - augmented icosahedron

I made these using Stella 4d, which you can try at www.software3d.com/Stella.php.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things. The majority of these things are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.
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