Why is the “Fourth Dimensional” representation of a cube a tesseract? If time is a dimension shouldn’t the higher dimensional representation of an object be it’s worldline/timeline?

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Why is the “Fourth Dimensional” representation of a cube a tesseract? If time is a dimension shouldn’t the higher dimensional representation of an object be it’s worldline/timeline?

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A tesseract is an an answer to the hypothetical question “What kind of shapes could exist if there were more than three *spatial* dimensions?” It’s not something that exists within 3+1 dimensional space (three spatial dimensions plus time).

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