All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
Two Cube Folding Puzzles (Posted on 2007-12-18) Difficulty: 2 of 5
How can a 2x4 rectangle be cut (and still remain in one piece) and be able to be folded into a 1x1x1 cube?

How about a 3x3 square?

See The Solution Submitted by Brian Smith    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solutions which don't cut | Comment 3 of 6 |
The previous two solutions do satisfy the problem.

If someone wanted a solution which is more free standing (rather than just a covering of a cube), then here is one solution each which doesn't fold along the grid lines (and doesn't cut at all)

 __ __ __ __
|__|__|__|__|
| | | | |
|__|__|__|__|
|__|__|__|__|
If one makes right angles with the folds between the 1x1 squares, (to form a tube shape) and then folds the flaps down from left to right (tucking the last one in), it makes a cube. (The flaps form the top and bottom of the cube.)

For the 3x3
    
/_\
/_|_|_\
<|_|_|_|>
\|_|/
\ /

The following greek cross can be contained in the 3x3 sheet with a little border (about 1/5 inch) The five squares shown form the bottom and sides of the cube, (push each of the side triangles against a side) and the corner flaps can be folded and tucked in a similar manner from the previous folding. (A little bit of the corner on each corner will need to be folded over though before doing this.)


  Posted by Gamer on 2007-12-19 00:52:15
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information