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What is common to the following real, physical objects:

  1. A cardboard/piece of paper carved as letter E (with all the segments of equal size)
  2. A cardboard/ piece of paper shaped as two full cycles of a sinusoidal wave
  3. A cardboard/piece of paper shaped as two full cycles of a square wave?

enter image description here enter image description here enter image description here

Based on this can you suggest another shape satisfying the above common property?

(Courtesy: Edward Bono's book on lateral thinking)

Hint 1:

It is something to do with the latest tag added (and it is the biggest hint)

Hint 2:

Ponder over the number and * * a * * of individual segments of each of the given objects(when the act mentioned as the latest tag performed in a certain way on each of these objects)

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  • 4
    $\begingroup$ ...They're all cardboard or pieces of paper? That's a property they have in common. $\endgroup$ – Deusovi Oct 30 '17 at 15:11
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    $\begingroup$ By "full cycles" you mean periods I guess? Any reason why this is posted "text only" ? Having figures would clarify it a lot unless "coming up with the picture" is part of the answer. Somehow, though, it seems that this needs a bit of refinement so that it's not going to be come a guess-what-I-am-thinking puzzle. $\endgroup$ – BmyGuest Oct 30 '17 at 15:24
  • $\begingroup$ @BmyGuest yes I meant by full cycle a period. I try to attach images. $\endgroup$ – Mea Culpa Nay Oct 30 '17 at 15:26
  • $\begingroup$ In the E you drew, the segments don’t seem to be of equal size. And the 2nd and 3rd “shapes” are just lines so how to cut out an area? $\endgroup$ – Laska Oct 31 '17 at 23:59
  • $\begingroup$ @Laska, good question. I did not draw letter E nor the waves. Those are for representation purpose only. You are in the right track - I mean if you proceed with cutting of shapes as described in the OP. $\endgroup$ – Mea Culpa Nay Nov 1 '17 at 8:11
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The letter E is actually a Pulse wave so what's common to them is that they are all waves. Another shape can be a triangle wave.

enter image description here

Turning the red "circle" cardboard of the image above 90 degrees to the right will create the letter E.(for people who don't understand how E can be pulse wave).

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  • $\begingroup$ Good attempt, but in the link provided for pulse wave, nothing is mentioned about its similarity to E (though visual conveys it partially). Away from actual/intended answer. $\endgroup$ – Mea Culpa Nay Oct 30 '17 at 15:08
  • $\begingroup$ @MeaCulpaNay I added an image(don't know how to put it in spoiler or whether it's necessary or not) and an explanation. $\endgroup$ – Oleg Oct 30 '17 at 15:13
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One Solution is

A triangle wave is a non-sinusoidal waveform named for its triangular shape. It is a periodic, piecewise linear, continuous real function.

Another Solution is

The sawtooth wave (or saw wave) is a kind of non-sinusoidal waveform. It is so named based on its resemblance to the teeth of a plain-toothed saw with a zero rake angle.

Picture
enter image description here

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