Polygonal pieces designed for diffusing light in a truncated icosahedral lamp design.
I'm going for "backlit space organism", I like 6 and 6-5var8 best. The geometry will be like http://www.thingiverse.com/thing:6178, but the light will be on the inside.
The OpenSCAD script is included for completeness. There might be some useful modules you could repurpose, but this is not a parametric object. I tuned the parameters by hand separately for each part.
The pieces are compatible with other objects I've tagged with 'Elements'.

Print, trim anchor plastic from hinges, assemble at will. ( More complete instructions on building a lamp will be forthcoming, once I design a couple more pieces ).
note on hinge clearance : The hinges can sometimes be a little tight. Make sure the first layer isn't pressed too far into the build platform. A compressed first layer will propagate up and make part of the hinge wider, decreasing the clearance. These parts are designed to fit tightly and may require pliers to assemble. If all else fails, removing some of the pins on the hinges can make assembly easier.