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Impossible object

soroban

Well-known member
Feb 2, 2012
409

Here's something to drive your friends crazy.

Take a 3-by-5 file card and cut it on the solid lines.
Crease it on the dotted line.
Code:
      *---*-------*---*
      |   |       |   |
      |   |       |   |
      |   |   C   |   |
      |   |       |   |
      |   |       |   |
      |   |       |   |
      * - * - * - * - *
      |       |       |
      |       |       |
      |   A   |   B   |
      |       |       |
      |       |       |
      |       |       |
      *-------*-------*
Hold section C with your right hand; let the sheet hang vertically.
Hold section A with your left hand and swing it 90o toward you.
Now hold section C with your left hand.
Hold section B with your right hand and swing it 90o away from you.

You will have an object that looks like this:
Code:
                      *---*   *-------*
                     /   /   /       /
                  *-------* /       /
                  |       |/       /
                  |       |       /
                 /|       |      /
                / |       |     /
               /  |       |    /
              /   * - * - *   /
             /       /   /   /
            /       /   /   /
           /       /   /   /
          /       /   /   /
         /       /   /   /
        *-------*   *---*
After you've marveled at how impossible it looks,
. . give it to your best friend.
 
Last edited:

Deveno

Well-known member
MHB Math Scholar
Feb 15, 2012
1,967
i made one of those, and put it in my klein bottle for safe-keeping :)