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 Unfolding cube (Posted on 2004-07-22)
How many unique shapes can you get by unfolding a paper cube?

You can only cut along edges, and the shape must be in one piece and flat. By unique, I mean rotations and reflections don't count.

This problem can be analogized to four dimensions as well. How many unique 3-dimensional shapes can be made by "unfolding" a 4-dimensional hypercube into 8 cubes? This problem is significantly more difficult than the first.

 See The Solution Submitted by Tristan Rating: 3.1667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 For the first part | Comment 1 of 9
I think theres 10 3D to 2D cubes, struggling a bit with the 4D to 3D though

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 Posted by Juggler on 2004-07-22 14:18:39

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