  Moduli stabilisation is key to obtaining phenomenologically viable string
models. Non-geometric compactifications, like T-duality orbifolds (T-folds),
are capable of freezing many moduli. However, in this Letter we emphasise that
T-folds, admitting free fermionic descriptions, can be associated with a large
number of different T-folds with varying number of moduli, since the fermion
pairings for bosonisation are far from unique. Consequently, in one description
a fermionic construction might appear to be asymmetric, and hence
non-geometric, while in another it admits a symmetric orbifold description. We
introduce the notion of intrinsically asymmetric T-folds for fermionic
constructions that do not admit any symmetric orbifold description after
bosonisation. Finally, we argue that fermion symmetries induce mappings in the
bosonised description that extend the T-duality group.
