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Originally Posted by nekokami
If your ability to rotate a particle cannot control which axis it rotates on, but only the degree of rotation
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Then constrain your particles. If your particles are twice as long as they're wide, and are in cells slightly larger than them, they're only going to rotate on their long axis, never flip end over end. A three-sided prism, with a positive-charged flat-face and a negative charge opposite, on the line between the other two long faces, will rotate as you want. Two charge sites beneath can make it rotate as desired.
On the more complex shape, 3D intersecting planes, seeing any plane face on means seeing two others edge on, but obviously the edges are thin enough to be negligible (so instead of seeing a solid blue plane, you see on quartered by thin grey, say, lines), or thick enough that they can have a clor, and be colored to match the plane behind them.
As abstract geometry, it works. As fiddly electronics, it might require too-fine control, or too-expensive particles and chambers, or something else. That's just reality being disappointing: business as usual.