Will o' the wispahedron

Textured Transluscent Plastic is a very curious material.  With a light behind it, the material seems to glow as a smoky monsoon of diffuse radiance.  A laser through it will diffract into chaos, but a laser through two layered sheets will instead spread into constellations.

But how to build a lamp of it?

I wanted a sphere, but all I got was this stupid icosahedron.

Originally, I wanted to see if I could get the lamp to float, perhaps held aloft in a fan, or somehow using magnets.  Ultimately, the imperfections in construction made these plans impossible; a fan will not hold it up much better than it would hold up a cheesecloth.

That said, the construction is hours away from a semi-permanent home above my bed.

Behold, a 3-photo tour-de-force of its construction:

What remained of the light once it hatched

The light, clamp, and grate, without the diffusing shade

Late construction, hanging on an assembly of flag poles, floor lamps, and wall masks

 Parts used:

1. 1 yard of textured transluscent plastic
2. Clear tape
3. Garage lamp (deconstructed)
4. Grate from a kitchen strainer
5. Clamp to hold the lamp parts, and rest the strainer atop it

Ideas for improvement:

1. Stronger tape and more precisely cut parts would help it keep its shape better
2. A metal frame would give the object some solidity, though it would make fan-floating plans nearly impossible
3. A helium balloon within it might still be capable of making the lamp weightless
4. Rather than using a light bulb, a laser mounted to a small fan on the inside would create a really interesting strobe-like effect.  Unfortunately, there were issues with all fans I tested this idea on, but I'm sure it's possible.  Even better if you could get a laser rotating through multiple spatial dimensions.
5. There are far more interesting 3-D geometric shapes one could build.

Can someone say "rhomboidodecahedron"?  Because I can't...