akabrutus:

Here's how you construct a tesseract, by analogy:

0. Start with a point. That has no dimensions.

1. Move the point in a straight path. That makes a 1D line segment.

2. Take that line segment and move it at right angles to its length. Move it a total distance equal to its length. The resulting area it traces out is a 2D square.

3. Take the 2D square and move it at right angles to its face. Move it a total distance equal to the length of one of its sides. The resulting volume it traces out is a 3D cube.

**4. Take the 3D cube and move it at right angles to all of its faces. Move it a total distance equal to the length of one of its sides. The resulting hypervolume it traces out is a tesseract.**

The hard part is step 4. You have to work out how to move the cube in a direction that is simultaneously at right angles to all three previous directions we used to carry out steps 1 to 3.

Clearly, your attempt at constructing a tesseract in your video is wrong, because you only moved things in the 3 dimensions you had already moved things in to construct your three-dimensional cube. The result in your video, as Dave pointed out, is not a tesseract, but simply two three-dimensional cubes embedded inside one another.

One thing to say: you might have seen pictures on the internet that look at bit like what you constructed, in relation to discussions of tesseracts. Those pictures represent a sort of "shadow" cast into 3 dimensions by a tesseract. It works like this:

2. You can create a 2D shadow of a 3D cube by shining a light onto it and projecting the shadow onto a 2D plane.

1. You can create a 1D shadow of a 2D square by shining a light onto it and projecting the shadow onto a 1D line.

0. You can create a 0D shadow of a line by shining a light onto the line and projecting the shadow onto a 0D point.

Similarly:

3. You can create a 3D shadow of a 4D tesseract by shining a 4D light onto it and projecting the shadow into a 3D space.

With one particular angle (in 4D) of the (4D) light source, the resulting 3D shadow looks a bit like what you're calling a "tesseract" in your video.