Doraemon has a pocket that is 4 dimensional.
While I was randomly thinking, I saw that,
A 1D line is made up of infinite 0D points.
A 2D area is made up of infinite 1D lines.
A 3D volume is made up of infinite 2D areas.
So shouldn't a 4D figure be made with infinite 3D volumes? If this is true then Doraemon's pocket(which is 4 dimensional) can keep the entire observable universe, can't it? If that's true then wow
A random thought of higher dimensional geometry and Doraemon
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Last edited by Mehrab4226 on Wed Jan 27, 2021 10:29 pm, edited 1 time in total.
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Re: A random thought of higher dimensional geometry and Doraemon
Yeah, we are living in a Doraemon's pocket! If there exists another pocket, then there should be a parallel universe there. We have to make a hole in this pocket to go to the other one!
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Re: A random thought of higher dimensional geometry and Doraemon
But to make a hole we need a border, right? But can we reach the border though? I think even with science fiction technology it is impossible to reach a point that is at distance say $k$, where $k \to \infty$.
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Re: A random thought of higher dimensional geometry and Doraemon
But wait! Having a border would mean it has a finite volume, wouldn't it? But this contradicts that Doraemon's pocket is 4 dimensional. 4th Dimension is hard to imagine
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
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Re: A random thought of higher dimensional geometry and Doraemon
I don't think we need a border to make a wormhole. Just like when we can make a hole on a 2D surface, we can also imagine a hole in a 3D universe.Mehrab4226 wrote: ↑Wed Jan 27, 2021 10:33 pmBut to make a hole we need a border, right? But can we reach the border though? I think even with science fiction technology it is impossible to reach a point that is at distance say $k$, where $k \to \infty$.
"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."
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- Mehrab4226
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Re: A random thought of higher dimensional geometry and Doraemon
It may be true, that we can make a hole in 3D. But imagining it is totally not an easy task! or at least not easy for me.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré
-Henri Poincaré