It’s a way of visualizing four-dimensional space in the third-dimension — a cube within a cube. If you think of each spot within the inner cube as a specific point in space, you can sort of get an idea about how four-dimensional space works by thinking of the inner cube’s location in the outer cube as an additional parameter to identify a specific point in space.
It’s worth emphasizing a tesseract is not a four-dimensional representation, it’s a three-dimensional representation of four-dimensional space.
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