  In four decades of string theory research, only a handful of
non-supersymmetric tachyon-free strings with only one neutral scalar at tree
level were found. We construct new such non-supersymmetric tachyon-free string
theories using asymmetric orbifolds that serve as the lower-dimensional
counterparts to the $O(16) \times O(16)$ string in 4d, 6d, and 8d, each
featuring only one neutral scalar at tree level, chiral matter and positive
leading order cosmological constant. The 4d construction uses a
quasicrystalline orbifold.
