Molecular shape is an essential parameter
that regulates the self-organization
and recognition process, which has not yet been well appreciated and
exploited in block polymers due to the lack of precise and efficient
modulation methods. This work (i) develops a robust approach to break
the intrinsic symmetry of linear polymers by introducing geometric
features into otherwise homogeneous chains and (ii) quantitatively
highlights the critical contribution of molecular geometry/architecture
to the self-assembly behaviors. Iteratively connecting homologous
monomers of different side chains according to pre-designed sequences
generates discrete polymers with exact chemical structure, uniform
chain length, and programmable side-chain gradient along the backbone,
which transcribes into diverse shapes. The precise chemistry eliminates
all the defects and heterogeneities, providing a delicate platform
for fundamental inquiries into the role of molecular geometry. A rich
collection of unconventional complex phases, including Frank–Kasper
A15 and σ phases, as well as a dodecagonal quasicrystal phase,
were captured in these rigorous single-component systems. The self-assembly
behaviors are strikingly sensitive to subtle variations of geometry,
such that simply migrating a few methylene units among the side chains
would generate substantial differences in lattice size or phase stability,
or even trigger a phase transition toward distinct structures. The
phenomena can be rationalized with a geometric argument that nonuniform
side chain distribution leads to conformational mismatch between two
immiscible blocks, resulting in varied interfacial curvatures and
distinct lattice symmetries. The profound contribution demonstrates
that molecular geometry is an effective and robust parameter for structural
engineering.