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Background

Once upon a time there lived a poor man.
He was so poor that he had nothing but a low-quality scissor that could only cut three times.

On Valentines day, he wanted to make a card for his mother.
He, of course, didn't want to send his scissors. When he was thinking, what he could send, a leaf fell to the ground, which looked like this:
leaf

Then he had an idea: He wanted to make a Heart out of his leaf!

Puzzle

Can you help the poor man to make a Heart out of the Leaf with cutting the Leaf 3 times, but without throwing away any of the paper?

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  • $\begingroup$ Could you please specify how can we cut?? Otherwise this problem is trivial. $\endgroup$
    – Dreopa
    Commented Jul 23, 2020 at 15:10
  • $\begingroup$ @LakshaySura There is just one answer as I know with just 3 cuts. $\endgroup$
    – math scat
    Commented Jul 23, 2020 at 15:11
  • 7
    $\begingroup$ Why do we not use one cut to remove the stem, turn it upside down? $\endgroup$
    – Weckar E.
    Commented Jul 23, 2020 at 15:48
  • $\begingroup$ This is not a leaf... it's a spade... $\endgroup$
    – WhatsUp
    Commented Jul 23, 2020 at 15:55
  • $\begingroup$ @WeckarE. Nothing should be wasted. $\endgroup$
    – math scat
    Commented Jul 23, 2020 at 18:04

4 Answers 4

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Here is my illustration as to how this could work:

Heart

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  • $\begingroup$ Nice answer. I looked for this one. $\endgroup$
    – math scat
    Commented Jul 23, 2020 at 18:51
  • $\begingroup$ @MazurkaFahr XD $\endgroup$ Commented Jul 23, 2020 at 19:22
  • $\begingroup$ @math is this the answer or is there another? $\endgroup$ Commented Jul 24, 2020 at 16:57
  • $\begingroup$ This is the rigt answer I was looking for $\endgroup$
    – math scat
    Commented Jul 25, 2020 at 9:22
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I can do it with one cut

"he wanted to make a card for his mother" He folds the card temporarily and cuts once at an angle, thus making a V-shaped cut.Then he pokes the stem of the leaf through. Finally he folds the card in two the other way and glues it closed to cover up the stem.

Alternatively

Fold the leaf in half along its symmetrically balanced axis. Make a single curved cut to remove the stem then unfold the leaf. The problem here is that folding could damage the leaf and the result not look so good.

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  • $\begingroup$ It should be exactly 3 cuts. But still +1 ;-) $\endgroup$
    – math scat
    Commented Jul 23, 2020 at 15:09
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    $\begingroup$ @math - This isn't logical though. If he is so poor, surely he would want to save two of his cuts for some other purpose. $\endgroup$ Commented Jul 23, 2020 at 15:14
  • $\begingroup$ Ok. I never thought that. ;) $\endgroup$
    – math scat
    Commented Jul 23, 2020 at 15:15
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    $\begingroup$ Exactly the same idea I had in my mind.+1 though for being active. $\endgroup$
    – Dreopa
    Commented Jul 23, 2020 at 15:16
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I think I got this
First cut
Cut it straight from the stem into two symmetrical parts.
Second and third cut
Cut the respective stem.
Glue both the parts and your heart is ready.

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  • 1
    $\begingroup$ Some say Glue is not there with poor man. We can always use our saliva to join the edges although that's pretty nasty.(Especially in these times) $\endgroup$
    – Dreopa
    Commented Jul 23, 2020 at 15:24
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i don't understand we he should not only cut twice instead of thrice...

enter image description here

we see a wonderful (for better demonstration orange dyed) Heart

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  • $\begingroup$ You can't waste any piece. $\endgroup$
    – math scat
    Commented Jul 24, 2020 at 9:41
  • 3
    $\begingroup$ where did you write that in your question? $\endgroup$ Commented Jul 24, 2020 at 9:49
  • $\begingroup$ oh man - i see that is written in the comments - as well as my solutions but also these restrictions... sadly the whole comments were collapsed and not directly visible... $\endgroup$ Commented Jul 24, 2020 at 11:20

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