If the dimensions of the universe are more than three, even if the geometry of the universe is Euclidean, humans cannot perceive the real nature of the four dimensional universe, nor the forms and shapes that are created inside it. Namely, everything that he perceives as real, even the whole universe, is nothing more than projections (depictions) of parts of the non Euclidean real and non perceivable universe, on a three dimensional Euclidean world which is constructed by the biology of the human senses. We scientifically name the World constructed by the biology of the brain pseudo – Eucledean Minkowski space.
As we mentioned above, the purely mathematical spaces, and the geometric shapes that are formed inside them, are ideal and non material and have nothing to do with the material reality. Mathematics study ideal spaces, “unreal” and non perceivable ones, while Physics studies the material, perceivable and measurable World. The connection was made by the well known Theory of Relativity by Einstein, who conceived the idea that the main composite of classic Physics, the material, is nothing more than curving of the main component of the World of Mathematics, the space that is.