Corbu talks about two kinds of lines in Towards a [new] Architecture: generating lines and 'accusing' lines, I think the significance of the latter is lost in the Anglo-Saxon translation. Also, the O Fr., for the term Contour, which is used sporadically, is Modenature (spelling!), better translated as Delineation. His Cartesian proclivities lead to a definition of building (or 'verification', as he calls it) gives you regulating lines, 'the choice and modality of expression' that reduce the building to a series of equations.
It seems to me that a Corbu architecture is computable (not necessarily by the means of CAD\CAM or even a machine). I don't hear the term mathesis much in the context of Western Architecture, (except maybe Bernard Cache's work), people do talk about the more tangible taxonomia. Put quite simply, mathesis is the set of rules or operations, the 'simple nature' of things that gives raise to a large array of distinct, tangible, 'complex representations'.
It seems to me that a Corbu architecture is computable (not necessarily by the means of CAD\CAM or even a machine). I don't hear the term mathesis much in the context of Western Architecture, (except maybe Bernard Cache's work), people do talk about the more tangible taxonomia. Put quite simply, mathesis is the set of rules or operations, the 'simple nature' of things that gives raise to a large array of distinct, tangible, 'complex representations'.