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A 4 dimensional object is called a Tesseract or "hybercube"

Although if you want to get into string-theory and related advanced subject matters, the Tesseract is not a 4 dimensional object at all, but simply an advanced 3 dimensional object which only represents the 4th dimension; a visual aide if you will.

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Q: What is the name of the classification of a 4 dimensional geometric shape?
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