Before there is architecture, there is red tape. That’s certainly the case in Los Angeles, where the simple act of securing permits to build an average granny flat in an average backyard can turn into an epic back and forth with the city’s Department of Building and Safety over tweaks to drainage and electrical systems. A new initiative organized by Mayor Eric Garcetti’s office in collaboration with Building and Safety aims to change that — while inserting a bit of high design into a housing stock whose aesthetics generally lie somewhere on the continuum between box and shed. Imagine, instead, a playful studio in the form of a flower, or a contemporary two-story apartment that offers minimalist chic at a backyard scale — all available as designs that have been preapproved by the city for construction, thereby shaving weeks off the permitting process.