Does anything like this exist?

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AgentKuo

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So I've always thought it would be cool to have like a Rubik's cube (or similar puzzle) that when you solved it, you could open it up, like a box (or like a secret compartment/safe).

Does anything like that exist?
 
Alright, I have another "does this exist" question.

Is there a puzzle like this?
Something like a standard 3x3x3, or just any regular cube shaped puzzle. But when you turn the outer layer clockwise, the center turns counter-clockwise?
I think this would be a fascinating puzzle.

Edit
I found the "Crazy 4x4" which is pretty cool, pretty close.


And another things I'm wondering is if something like this exists:
A regular 3x3, but where all the sides are slide puzzles (like a 15 puzzle). With only one empty space that travels around the cube. I think this cube would be incredibly cool, and I'd love to see it.
Something that looks similar to this (of course the edges would have to be thicker than they are in the picture.) But it's just a basic concept.
slidecubeexample.jpg


And one more, I'm wondering if there is a 5x5x5, but instead of all the pieces being the same size, it would be the same size as a 3x3x3, only the middle and edge pieces would be made up of 3 very thin pieces.
Like this:
5x5x5.jpg
 
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