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I love these. Imagine a giant Mobius strip. Cut a hole in it and install a doorway. When you walk through that doorway where do you go? Not to the other sid

I love these. Imagine a giant Mobius strip. Cut a hole in it and install a doorway. When you walk through that doorway where do you go? Not to the other side because THERE IS NO OTHER SIDE! Personally I think you enter an alternate universe. Just thinking about it makes my brain dribble out of my ears.

toxik 8y ago
It doesn't make sense to make a hole in a two-dimensional room. That hole exists in the 3rd dimension. It would be as if you imagined a hole through the fourth dimension, you stick your hand in and you simply reach whatever is Euclidically speaking close in space.
bryanrasmussen 8y ago
take a big piece of paper, make a Mobius strip, cut a hole in it as you describe, hold it up by your ear, stick your finger through the hole in such a way that it would be expected to enter your ear if there was another 'side' to the hole. Did your finger enter your ear?
- codeulike 8y ago
  Tried that but when I tried to hold it up by my ear my arms sort of faded out and disappeared. Weird.
v_lisivka 8y ago
Why not use sphere instead? It has no "sides" at all by your definition of "side".
- informatimago 8y ago
  A sphere has two sIdes: an internal side, and an external side. This is why there are theories of “hollow earth”!
  - fabricexpert 8y ago
    huh? that would not be a sphere. A sphere has no internal sides it's solid all the way through
    - tomstuart 8y ago
      For what it’s worth, mathematically a “sphere” is the set of all points which are equidistant from its centre — it’s hollow all the way through. The solid version is called a “ball”.
- foreigner 8y ago
  That's an interesting way of putting it. On the other hand though it feels like a sphere has an inside and an outside...
andrepd 8y ago
>Personally I think you enter an alternate universe. wat Seriously though, have you tried to experiment with a paper strip yourself?
foobarbecue 8y ago
Interesting question, absurd conclusion. You exit at a different coordinate on the same side. That coordinate is x/2 meters along the surface, where x is the repeat length of the surface.

toxik 8y ago

It doesn't make sense to make a hole in a two-dimensional room. That hole exists in the 3rd dimension. It would be as if you imagined a hole through the fourth dimension, you stick your hand in and you simply reach whatever is Euclidically speaking close in space.

bryanrasmussen 8y ago

take a big piece of paper, make a Mobius strip, cut a hole in it as you describe, hold it up by your ear, stick your finger through the hole in such a way that it would be expected to enter your ear if there was another 'side' to the hole. Did your finger enter your ear?

codeulike 8y ago
Tried that but when I tried to hold it up by my ear my arms sort of faded out and disappeared. Weird.

v_lisivka 8y ago

Why not use sphere instead? It has no "sides" at all by your definition of "side".

informatimago 8y ago
A sphere has two sIdes: an internal side, and an external side. This is why there are theories of “hollow earth”!
- fabricexpert 8y ago
  huh? that would not be a sphere. A sphere has no internal sides it's solid all the way through
  - tomstuart 8y ago
    For what it’s worth, mathematically a “sphere” is the set of all points which are equidistant from its centre — it’s hollow all the way through. The solid version is called a “ball”.
foreigner 8y ago
That's an interesting way of putting it. On the other hand though it feels like a sphere has an inside and an outside...

andrepd 8y ago

>Personally I think you enter an alternate universe. wat Seriously though, have you tried to experiment with a paper strip yourself?

foobarbecue 8y ago

Interesting question, absurd conclusion. You exit at a different coordinate on the same side. That coordinate is x/2 meters along the surface, where x is the repeat length of the surface.