I am reminded again of the text by Gaston de Pawlowski in his book "Reise ins Land der vierten Dimension" and his analogy of the two dimensional shadows of three dimensional shapes, and his allusion to three dimensional bodies being the "shadows" of an unknown entity of four dimensions: "all three-dimensional objects that we so simply observe, are projections of a Fourth Dimension unknown to us" (translation by Maximilian Gilleßen from the French).
Much light!