?? besides blowdowns of kaleidoscope toric varieties there's also all sorts of sub-varieties (and sub-quotients ...) that should be good to understand ... ??? ...

?? in fact, idea of "bottom-up" approach here, vs top-down ?? ... ??? very "disjunctive" ... ?? "analytic" / "frankenstein" ... ???? maybe more conjunctive (????? "synthetic" ????) approach afterwards ???? ... ????? ......