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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.)
re: For the first part | Comment 2 of 8 |
(In reply to For the first part by Juggler)

Juggler, I think you missed one...

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That makes 11.


  Posted by Sing4TheDay on 2004-07-22 14:53:45
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