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216

Portal Paradox (lemmy.world)

submitted 1 year ago by YoorWeb to c/[email protected]

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[–] Stovetop 96 points 1 year ago* (last edited 1 year ago) (11 children)

I think you'd be able to get it in a little ways before top of the box pushes against its own lid, preventing it from going in any further. If the lid pops back open, then the top of the box will begin sticking out of the box which will likely make it too wide to fit all the way through the wall portal.

But the rules of Portal is that the portals themselves break when moved by any substantial extent anyways so in the game it would just disable the portal altogether.

[+] sploosh 2 points 1 year ago (4 children)

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[–] hikaru755 5 points 1 year ago (1 children)

You can pass two 2d ovals through each other in a 3D space no problem if they're exactly the same size.

[–] [email protected] 0 points 1 year ago* (last edited 1 year ago) (2 children)

Yes, but can you maintain the property that each point on the orange portal is connected to a point on the blue portal and vice versa? My intuition is that you'd end up with a paradox because you'd end up with a point on one portal connected to two different points on the other, but my analytic geometry skills aren't good enough for me to attempt a proof.

[–] hikaru755 2 points 1 year ago

Not sure I'm following. If the portals are exactly the same size, and stay that size, then why would you have to connect one point on one to two points on the other?

[–] [email protected] 1 points 1 year ago

Consider these two pixel-oval portals:

  xx         oo
x    x     o    o
x    x     o    o
x    x     o    o
x    x     o    o
  xx         oo

They are the same size, and you can easily make a bijective mapping for each of their pixels.

Rotate one two times in 3D space by 90°, and it fits through the other. If you want more wiggle room, make them taller.

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