A forth dimension doesnt fit within our current understanding of how the universe works but if you want to try to then.
1D – linear distance aka length
2D – 1D of one plane * 1D of another plane
3D – 2D * 1D of third plane
4D – 3D * 2D
So basically, the previous dimension becomes the next dimensions side and 2-back becomes the edge.
If you think about it then a 4d shape contains each side as a 3d shape and each edge as a 2d shape (tesseract) rather than the 2d side and 1d edge like on a 3d shape.
Following this line of logic
5D – 4D sides, 3D edges
6D – 5D sides, 4D edges
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