There is a pattern in our dimensional world. The 1st Dimension relates to the 2nd Dimension as the 2nd Dimension relates to the 3rd. In our 3-D world, we are limited to the directions up, down, left, right, forward, backward, and anywhere in between. In a 1-D world, an equivalent to a 3-D being would only move two of our 3-D directions, and a 1-D "eye" would see only in 0-D (point). Unless the 1-D "object" is transparent, a 1-D "being" would only see a point of the given "object". A 1-D "being" would only imagine in 0-D because "it" can only base imagination on memory. The 1-D "being", unfortunately, has not been proven to exist, nor can survive as we imagine it. The theory of relativity hints that a 2-D equivalent to a 3-D being will be limited to move 4 of our 3-D directions. This means that it will not be able to go up, or down if laid flat. This 2-D "being" would only see other 2-D "objects" as 1-D unless made transparent. Also, 2-D "beings" would only imagine things in 1-D, because of the memory limitations. These "beings" also, unfortunately, haven't been proven to exist and would not survive in our imagination. It comes to us, where we are limited to the directions up, down, left, right, forward, and backward, where it is true that we see only in 2 dimensions, and imagine items only in 2 dimensions. This is true because, for example, you can only see three sides of a six sided cube, a three dimensional object as a 2-D image. We can only imagine things in 2-D, no matter what because a human eye has never seen all six sides of a cube at once as it is in its cubic shape (exclusions to transparent cubes). The fourth dimension has two additional directions, out of our limited human imagination. If you imagine a "being" in 4-D, it will see its surrounding as a three dimensional projection, and it will imagine everything in 3-D. The 4-D "being" is also way beyond our imagination, so you cannot imagine what it sees, imagines, or simply looks like. ---- It is said that two 0d points can be connected to form a 1d line, two parallel 1d lines connected to form a square (or similar), and two parallel squares connected to form a cube. If that pattern goes on, what would come next is a Tesseract. This can be imagined as a cube inside another, all points connected to the parallel corresponding point, each cubicle cell congruent to the other. You can compared to a net of a cube, consisting of 6 squares, to a net of a Tesseract, consisting of 8 cubes. Another way to imagine the fourth dimension is as a combination of parallel universes, none touching any other except in the higher dimensions (to "move" through the 4th dimension means crossing between parallel worlds in the 3rd dimension).
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