  Superstrata microstate geometries furnish some of the most successful
laboratories, to date, for probing black hole microstructure in a geometric
setting. This paper extends the (1,m,n) family of superstrata, to allow for
flat asymptotics. Previous constructions utilized the decoupling regime, where
the geometry is asymptotically AdS3xS3. Brief comments are made on the
additional complexity introduced by the flat space coupling, how this obscures
holomorphicity and breaks the consistent truncation to which the decoupled
solutions belong. Holomorphicity and consistent truncation were key
simplifications assisting previous studies of the (1,m,n) superstrata,
undertaken in the decoupling regime. Further, these results open a window for
future projects to determine how previous analysis on the decoupled geometries
extend or are modified once flat space asymptotics are imposed. Since our
universe is almost flat on cosmological scales, this represents progress
towards more phenomenologically relevant microstate geometries. This work can
be considered a continuation of that in arxiv.org/abs/1711.10474 where some
single mode superstrata were also coupled to flat space.
