It is not about "sacred geomertry" as if it would be a construction, it is about being (doing; not a relative "becoming", that never reaches its final cause). All this definitory axiomatics is just shadows of what is. Surely, this can be taught as an object - that never will be.
You can measure the cup by approximation and possibly reproduce it, re-implementing the errors of seriality - but you will not be the cup, because you (the subject) did not do it: the enigma of the matrix.
I do, not-compute.