what the 3d representation of a tesseract is actually showing
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The 3D representation of a tesseract is showing the extension of the cube into a fourth spatial dimension. You can see it has height (up & down dimension), width (side to side dimension) and depth (back and forth dimension). But, it also has another measurement that I’m going to call “wumbo-ness” that extends ana and kata into the 4th dimension.
Just like a 2D drawing of a 3D cube has lines from the corners of the 2D square projected diagonally to represent extension into the third dimension, a 3D representation of a 4D cube has lines that come off the corners at diagonals to represent extension into the fourth dimension.
The 2D drawing looks like the shadow of the 3D object. The 3D representation of the tesseract would be the 3D “shadow” of the 4D object.
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