Transformative cubism

To continue the idea behind 3D cubism, one can also insert new geometrical transformations into the mix. If you draw a picture where the x/y coordinates are transformed to polar coordinates, a weird shape will appear. Why not do it in three dimensions? Take a 3D object and convert each point from x/y/z to spherical coordinates. For example, the x-axis can be radius, y-axis longitude and z-axis latitude. Then 3D print it and let people guess what it is.

Combining 3D cubism with Transformative cubism is the ultimate! Convert time into angle and see what happens. This is a whole new kid of art, but a mathematical one. Can it grant us a deeper understanding of physical space-time? Black holes? Non-Euclidean spaces?

Having these types of objects in real life, i.e. 3d printed objects that represent a transformative 4d videos, can raise also neuroscience-type questions. Can we learn how to “unfold” these structures in our mind, i.e. look at a transformed object and “know” what it is? Can we learn how to “fold” them in our mind, i.e. given a known object and a weird transformation, can we imagine how this object look like? It is easily testable by printing the object out.

Can’t believe Cubism rocks!