Theoretically, how would you get out of a hypercube?

Question

Theoretically, how would you get out of a hypercube?

Answer 1

I just wait long enough until my position in space-time moved outside the hypercube.  

Answer 2

There is no 4D path out that does not intersect with the 'surfaces' of the hypercube. The hypercube is a box just like a cube, except this one extends into 4D space. Once you are in, you have to breach the wall to get out, unless your path makes use of yet another dimension (a 5D path, for instance).

You can think of the 2D analogue of a square with a point inside of it that we can then use to illustrate this point. There All paths confined to the plane containing the square between the point inside an an aribtray outside point intersects the border of the square.  Now, if the square is part of a 3D cube, so the point is inside the cube, there is still no path to any point, even in three dimensions, that does not interesect with the walls of the 3D cube.

If you are permitted to take a 4D path, you CAN get out of the 3D cube without intersecting a wall.

Analogously, a 5D path could lead out of a 4D hypercube without intersecting any of the 3D cubes that comprise  the "walls" of the hypercube.

Answer 3

Let it dissolve in hyperwater.

Answer 4

How do you get in a closed 2-D square? You need to be 3rd dimensional or higher. You need to be 4th dimensional or higher to get inside a closed 3-D cube, thus you must be 5th dimensional or higher to get inside of a closed 4-D hypercube.

Answer 5

Through the door, obviously.  It's gotta be on one of the 36 walls....

Answer 6

Read "Flatland: A Roamnce of Many Dimensions" by Edwin Abbott.

Answer 7

Second to the right, and straight on till morning.