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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)

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 re(2): 4d??? Comment 8 of 8 |
(In reply to re: 4d??? by Tristan)

Well, thanks Tristan. In a way, it does give me some ideas, but as I went on reasing to the part on the hypercube, boom! I am lost again. Anyway, thank you for taking time explaning, though I still do not understand. Plus, as you said, the image is distorted...

Thanks anyway!

 Posted by Vee-Liem Veefessional on 2004-08-01 02:30:06

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