what the 3d representation of a tesseract is actually showing
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A 3d representation of a tesseract shows you information about the tesseract. We can’t see a tesseract, the only thing we can see is a 3D object (a cube). So you need to go through a mental exercise to visualize a tesseract.
The mental exercise is as follows:
* imagine that you’re restricted to only seeing 2D images, shadows on a paper.
* realize that rotating an object, especially rotating in around the extra axes that you don’t have available on the 2D paper shadow, deforms the shadow in ways that give you a lot of information about the object.
So you KNOW that the object must have squares as its sides, but from looking at the paper you can’t *see* the *vertical* way in which those squares “combine” into a cube. But rotating the cube shows you a lot of information about the wireframe of the cube, in the way your square shadows deform into trapezoids and other such shapes, rather than remaining squares.
As far as seeing a tesseract, get a cubic meter cardboard box and look at it for 3.33 nanoseconds, and what you will see is a tesseract. The xyz sides of the tesseract are 1 meter, and the 4th dimension is ct = 1 meter.
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