If we’re able to create the illusion of the 3rd dimension on our 2-dimensional screens, why aren’t we able to simulate/create the illusion of the 4th dimension in our 3-dimensional world?

Question

(I know, time is the 4th dimension. I mean 4 spacial dimensions)

In: 3890

Answer 1

We can, but it’s a little hard to explain in text. Think about drawing a cube — if you draw two squares that partially overlap, then connect all 4 corners of the two squares, it will look like a transparent cube (like [this](https://i.ytimg.com/vi/hOI-AryNpzA/maxresdefault.jpg) picture). This is a projection of a 3D object onto a 2D space.

You can do the same thing in 3D if you make two interlocking cubes out of toothpicks, then connect all 8 corners of the two cubes. This is the projection of a 4D object onto a 3D space.

You can also do this with a sort of distance perspective by drawing one square inside another then connecting the corners. Then you have a 3D object projected onto a 2D space with distance perspective in the 3rd dimension. Do the same thing with the toothpicks and the cubes, only make one smaller cube inside a larger cube with the corners connected. Then you have a perspective projection of a 4D object onto a 3D space with distance perspective in the 4th dimension.