A tesseract could be best represented in a 3D space when there’s a time component involved, making it 4D. Pretty much the only way we’ll ever see it, however, is in a 2D space (computer screen or paper) with time, making it 3D, and our minds just extrapolate the third spacial dimension.
Think of it like architecture drawings where a 3D object is translated to a 2D sheet of paper with no time dimension. There’s one less dimension but contractors and architects (and most people in the general population, really) could imagine what it would mean in 3D space.
People kindof hit a limit at 4 dimensions though, including time, since that’s all our minds have ever had to comprehend.
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