
The triakisoctahedron is the dual to a truncated cube. I saw it in Magnus Wenninger's book Dual Models (which I bought recently) and wanted one of my own just because the twisted dimples are so pleasing. He passes on a guess that there's several thousand stellated forms of the triakisoctahedron (I don't know if they've been fully enumerated since he published) and he provides two fairly pleasing examples. It's a pity the book (at least the soft cover reprint) has such poorly reproduced photographs since you can barely make out the details of his.
I used a lazy matlab and postscript trick to generate the printouts. After projecting the lines onto the page, I do a rough clip to get rid of the ends and print 12 to a page in a 3x4 grid.
( Bigger pictures )
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