  Based on symmetry consideration, quasi-one-dimensional (1D) objects, relevant
to numerous observables or phenomena, can be classified into eight different
types. We provide various examples of each 1D type, and discuss their Symmetry
Operational Similarity (SOS) relationships, which are often permutable. A
number of recent experimental observations, including current-induced
magnetization in polar or chiral conductors, non-linear Hall effect in polar
conductors, spin-polarization of tunneling current to chiral conductors, and
ferro-rotational domain imaging with linear gyration are discussed in terms of
(permutable) SOS. In addition, based on (permutable) SOS, we predict a large
number of new phenomena in low symmetry materials that can be experimentally
verified in the future.
