Just to show how all pervading the Cartesian view of the world is, take his system of co-ordinates. It has become second nature to us to think that we live in a “three dimensional” world. Of course there are three dimensions. That’s one of the fundamentals of existence, or is it really?

I remember a conference a friend organized here in Italy about two decades ago. Cartesio and the world of Physics. Perhaps I was the only one thinking to challenge Descartes, and I did so by showing that – far from being a fundamental of existence – the Cartesian co-ordinate system was only one of many possible ones. I showed that instead of basing orientation on the cube, we could profitably adopt a four-axis system based on the tetrahedron. In all-space orientation, a tetrahedral system would by more efficient than the cube-based six-direction (90 degrees oriented) system of Descartes which we are using.

http://www.hasslberger.com/phy/phy_6.htm

Even the existence of dimensions is questionable. If there is some doubt whether we should talk about three or four or six dimensional vectors, depending on how you look at it, then what assures us that the concept of 90-degree oriented orthogonal dimensions is of any physical significance at all? Omnidirectionality, as Buckminster Fuller called it, would probably be a better concept.