Also...

[mmcirvin]

Several of the stellations of the icosahedron would make excellent Christmas ornaments, if somewhat labor-intensive. I'm thinking that No. 36 (by this numbering scheme, which is idiosyncratic) would actually be feasible, if someone had the patience to glue together 60 of those spiky shapes.

Comments

[doctroid.livejournal.com]

Been there, done that. I don't remember off the top of my head which stellation it was and I'm not sure where I got the pattern for it... this was probably five years ago. It actually was a truncated version, because it was a star to go atop the tree so I lopped off the bottom spike.

As I recall it involved only twelve pieces. Looked pretty good, though I did it fairly hurriedly and it wasn't as neatly done as it could have been. And I used ordinary bond paper (pieces printed in gold on my computer's printer), so it wasn't particularly durable.

Another year I did a unit origami piece for the treetop, which actually survived a few Christmases.

[doctroid.livejournal.com]

I wrote that before looking at the pages you linked to, and you know, I think it was No. 36 I made.

At least, the pieces look familiar, as they well might if I did indeed cut and assemble sixty of them.