Can we wrap a 1x1x1 cube with the blue 3x3 piece of paper, cutting along some edges without disconnecting it?

Correct answer, but,
FTFY

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yes but as presented one side is already covered once.

It’s okay, don’t topologize…

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When I ignored condition 1 it was a lot less elegant

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Ah, quite, didn’t think of it that way! (dur!)

a generalization of Betteridge’s Law says yes.

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There’s never any reason to ask “can you do x” with puzzles like this. The answer is always “yes” and the challenge is to figure out how. However I think we should be exposed to more puzzles that have no solution just to keep us on our toes.

  1. Spend six hours on a nice afternoon working through crappy solution ideas
  2. Eventually give up out of desperation.
  3. Click on “Show Solution”. Answer is simply “No, you can’t”
  4. Drink self into stupor
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I think my eyesight is going, everything’s getting blurry.

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Another good category is “puzzles where no one knows the answer” :slight_smile:

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if you don’t fold along the lines you don’t even have to cut the paper.[quote=“Logolepsy, post:38, topic:98745”]
No cuts are necessary.
[/quote]
yes this.

not this! :stuck_out_tongue_winking_eye:

Yes.

The trick lies in wrapping one side twice. You basically wrap an L shape around the cube: first flip the short line of the L up. Then wrap the next cube around to one side. Then flip the long remaining bit so it doubles over the cube side you just covered, then cover the top. The rest is easy.

It’s really hard to describe, I’m not sure anyone would be getting it.

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