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Unfolding cube (Posted on 2004-07-22) Difficulty: 4 of 5
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.)
Solution first part | Comment 4 of 8 |
i found eight. there are probably more, but i doubt more than a few.

O
OOOO
O


O
OOOO
O


O
OOOO
O


OO
OOO
O


OO
OOO
O


O
OOOO
O


OO
OO
OO


OOO
OOO








  Posted by rixar on 2004-07-22 21:03:41
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