  The Moir\'e patterns generated by altering the structural parameters in a two
or more layers of periodic materials, including single-layer structure,
interlayer stacking, and twisting parameters, exhibit prosperous topological
physical properties. However, the intricate characteristics of twisted nested
Moir\'e patterns and their relationship with topological transitions remain
unclear. In this Letter, based on the proposed twisted nested photonic crystal
(TNPC), we derive its spatial geometric functions (SGFs),
aperiodic-quasiperiodic-periodic properties in twisted nested Moir\'e patterns,
and the SSH{\phi} Hamiltonian. We reveal the intrinsic correlation between
twisted nested Moir\'e patterns and topological transitions, obtaining
higher-order topological states (HOTSs) with C2z symmetry. This work will
provide theoretical references for the design and application of twisted
topological PC and their devices.
