Stellation of the Icosahedron (3)

The icosahedron progressively stellates by adding cells bounded by its face planes. During the process we see the triakis icosahedron, the compound of five octahedra, the compound of five tetrahedra, the compound of ten tetrahedra and the great icosahedron. In this version the compounds of the octahedra and tetrahedra are coloured and the stellating cells arrive by flying in.

Video created by me using Matlab.

[jossmits]

Technically perfect video. Helps understanding a lot. Thank you 20x.

[zh]

Very clever! Thank you for this, and particularly for drawing the colours of the underlying shapes in the stellations that are also compounds. Though this is tricky to do with the compound of ten tetrahedra, where the tetrahedra share faces in pairs.

[mygills]

That sure is some real stellation. 10/10

[FersusSwingo]

Very nice illustration of the process! Thank you very much, now i understand the concept a little bit better! However i still struggle with the corresponding diagram: I guess it somehow predicts how the faces will look like, but i still don't quite get how it works.
This probably ties into my lack of understanding why for example the part that's been added at 1:57 isn't added at 1:37 already.
You don't happen to have some explaining contant on this, do you?