A tesseract is a hypercube. It exists in the 4th dimension (time). If your into theoretical physics check out this book.... Michio kaku - hyperspace.
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A Tesseract's existence doesn't have to do anything with time. It exists in the fourth spatial dimension. Calling the fourth dimension "time" is something commonly done by physicists, but a Tesseract is a completely theoretical mathematical construct, existing in 4-D Euclidean space.
Fourth dimension - Wikipedia, the free encyclopedia