Long time reader, first time poster... (didn't realize I had rights until now)
I was thinking about Oskar's Hollow Cube
and I think I've come up with an interesting "sticker" mod.
Essentially, the idea is to turn it into a shepherd's cube
using polarized sheets of plastic (glass?).
The direction of the arrow would be replace by the direction of the polarization. You cannot see the direction of polarization directly, but you could infer it by trying to look through the cube and see if the opposite sticker lines up. If the two stickers have the same polarization, you'll be able to see through. If the two stickers have perpendicular polarization, you cannot see through.
would be a completely transparent or opaque cube depending how you setup the stickers.
With the standard shepard's cube stickers, the solution would be pretty simple but still fun I think. There'd be only 2 kinds of corners and their rotation doesn't matter. There'd only be one kind of edge so only orientation would matter. With this setup any half turn or slice move would remain
To make half turns
, you would just need to make opposite stickers on the same face have different rotation. I would keep every sticker either aligned or orthogonal. If you don't, you might end up with an advance Rubik Icon.
For added difficulty to prevent redundant slice moves, you could add a third sticker to each edge that is perpendicular to it's two other faces.
Anyone feel like "butchering" their hollow cube?
For reference, here's a youtube video showing how two polarized sheet behave together. http://www.youtube.com/watch?v=yteBaO4Lewc