[zarang]

yeah. I think his website is extremely old and hasn’t been updated in the last decade or so. Despite this I linked to it because he is a legend in this field and so i think this is still the definitive reference.

As far as i understand, part of the story as to why dodecahedron and the cube fall short is due their non-triangular faces.

[fiddlerwoaroof]

Did the article switch the dodecahedron and icosahedron? It specified that the icosahedron is optimal for 12 points and the dodecahedron for 20 which seems backwards to me.

[extremelearning]

I believe it is right. However, I often get these two intuitively mixed up because:

Icosahedron: 12 points, 20 faces (and 30 edges)

Dodecahedron: 20 points, 12 faces (and 30 edges)

[fiddlerwoaroof]

Hmm, that explains it.