(Needless to say, there are more pictures on the PhotoBucket link. Just click on the picture to see them.)

Let's see: 30 pieces for the core. Except for part of the surface layer, all pieces are 2" x 2". 30 for the inner layer. 60 for 'joiners' (between layers.) 60 for the joined pieces on the outer layer. 60 for the other parts of the outer layer. Another 110 for 'rounding' pieces to change it from a pentagon-triangle polyhedron to something approximating a sphere. (The 10 missing pieces form the dish-weapon that destroys planets.) 19 2" x 4" pieces for the outer part of the surface layer. 18 2" x 2" pieces for the inner part of the surface layer. Finally, 20 pieces for the top and bottom.

(Oh, and I cheated and slipped a mostly-unfolded square under the top "iris" so it looks more closed.)

369 2" x 2" squares, plus 19 2" x 4" pieces. The 18 and 19 count are to account for the planet-busting weapon dish. With work, design and experimenting time, I think it took 8 hours all-in-all. At 20 squares a sheet of 8.5" x 11" paper (the rest are mis-sized scraps) that's 26 sheets of paper down the tubes.

Completely original design. Each 2" x 2" piece is a Sonobe strip. Core and inner layers are stellated icosohedrons, one inward pointing, the other outward pointing. I've never seen the point-to-point joining. I'm sure someone has made the pentagon-triangle combination polyhedron, but this one can bear a great deal of weight thanks to the layered form and the inter-layer joining pieces.

The surface layer and the rounded top and bottom parts required me to design new pieces, all other pieces are normal Sonobe strips.

I very proud of the trench girding its equator and the planet-buster dish. As with the other origami spheres, this one can bear surprising weight. I'd put a phone book on it if I could balance it. That's just a function of the design and innards, so I'm not especially proud of it. I am proud of the way the surface describes a sphere and yet uses regular folds - linear and pressed against a flat surface.

I'm not very happy with top and bottom pieces - they're not as tightly locked as the other parts. Two of the outer surface pieces have tears in them so as to accommodate the planet-buster.

Still, it's a wow in my book. I'm amazed at how good it turned out, given that I was designing the surface pieces as I went along.