# Common among shapes

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?

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)

• ...They're all cardboard or pieces of paper? That's a property they have in common.
– Deusovi
Oct 30, 2017 at 15:11
• 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. Oct 30, 2017 at 15:24
• @BmyGuest yes I meant by full cycle a period. I try to attach images. Oct 30, 2017 at 15:26
• 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? Oct 31, 2017 at 23:59
• @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. Nov 1, 2017 at 8:11

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.

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).

• 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. Oct 30, 2017 at 15:08
• @MeaCulpaNay I added an image(don't know how to put it in spoiler or whether it's necessary or not) and an explanation.
– Oleg
Oct 30, 2017 at 15:13

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