Begin building your texture library for mathematical action figure suits+cathedrals. On a quest to model our mathematical inspirations (Topkapi, Cathedral, Gothic, and Spanish Arcade) we'll want to begin by tracing back to the mathematical principles that created these histories.
An arcade is far different from what you'd expect from a (pretty pink) loggia, which don't require anything other than a flat surface wall (e.g. the brick exterior of a generic apartment building). However, many arcade models (such as the partial derivative e^ycosx) generate the objects from which a loggia may borrow as the exterior adornments to a house, such as the Opera.
Unlike simple houses, however, we can begin exploring the mathematical possibilities that inspired others in creations such as Gaudi's La Sagrada Familia. We'll definitely want to walk in these footsteps as we contribute to the Mammoth Browser available in the textbook I'm working on.
Best,
Gabriel