Tile Design of the Day

Here you go, it's a design I came up with sometime last year.  I never did convert it into something the Silhouette cutter-plotter could use, partially because I wanted the spiral parts in the middles to line up better than they did.  Oh well, back to the drawing board, I suppose.

The design is chiral, so putting it together into a solid could be tricky.  I'd probably want to start with just a square surrounded by four triangles and then go from there.  That would get me a snub cube pretty easily.  And a cuboctahedron.