2-dimensional objects exist only on paper

zaveri

@zaveri-5TD6Sk • Oct 6, 2024

Oct 6, 2024

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So can anyone prove , what i stated in the title ?

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Kaustubh Katdare

@thebigk • May 17, 2012

zaveri
So can anyone prove , what i stated in the title ?
Interesting thread, #-Link-Snipped-# . Reminds me of a similar thread by #-Link-Snipped-# about 'randomness'. It's quite difficult to think of something that's only defined by the length and breadth and has no height. That brings me to thinking of atomic structures. Is it true that Atoms move in all the three planes? Can't recall molecular structures and how the atoms define their orbits. Adding the thread to 'Watch List' 😀
Nachko

@nachko-rBBzDO • May 22, 2012

zaveri
So can anyone prove , what i stated in the title ?
Wow, that's an interesting statement! I mean, its ambiguity is charming 😀
Gurjap

@gurjap-blPmg9 • May 22, 2012

Let's see. When you scrawl something on paper, you do give it some height, in the terms of the pencil lead deposited on the paper. Hence anything you draw on paper is three dimensional.. not to forget that the paper is 3D too. The "2D" image exists only in your brain.

Which will bring us, I think, to computers. Is everything on your screen right now....... 2D? Nope, it is formed by pixels, and pixels are 3D 😛

Coming back to what I said earlier, 2D exists only in your brain.
Ramani Aswath

@ramani-VR4O43 • May 22, 2012

A Moebius strip is a single surface with a single boundary, unlike a sheet of paper, which has a single boundary but two surfaces.
<a href="https://mathworld.wolfram.com/MoebiusStrip.html" target="_blank" rel="nofollow noopener noreferrer">Möbius Strip -- from Wolfram MathWorld</a>
zaveri

@zaveri-5TD6Sk • May 22, 2012

Originally this argument was started by my friends, and this is how they proved it:

Most laymen will believe that paper is a 2D object (even though it is not).

but in reality even a paper has 3 dimensions, a length , breadth and a thickness.

the thickness will have a numerical value far more negligible when compared to the length and breadth, that is something like 0.00034 cms.

but yet that value cannot be rounded off to zero

because then volume of that paper will also become zero, since volume= length * breadth * thickness.

and if volume becomes zero, it will only imply one thing, that is the object does not exist.
Ramani Aswath

@ramani-VR4O43 • May 23, 2012

Volume is zero. However, area is not.
Gurjap

@gurjap-blPmg9 • May 23, 2012

When people talk about mobius strip, I usually say.... you're looking at the wrong surface. How about the almost-negligible surface at the side? Could you have a mobius rubber band, made out of thick, rectangular cross section rubber?
zaveri

@zaveri-5TD6Sk • May 23, 2012

#-Link-Snipped-#

obviously area will not be zero. but then volume is not the property of 2d objects.
Shashank Moghe

@shashank-94ap1q • Sep 17, 2014

Even what's on paper has to be scribbled/printed with some marking medium, no matter how slight a rectangle I draw on the paper, it is still embossed on the paper and has a certain thickness, even if negligibly small. In that sense, it is not 2-D. Nothing is 2-D.

I hope we break barriers of the plank length and measure the 'strings', which, are 1-D (for believers of string theory).