  Symmetries are well known to have had a profound role in our understanding of
nature and are a critical design concept for the realization of advanced
technologies. In fact, many symmetry-broken states associated with different
phases of matter appear in a variety of quantum technology applications. Such
symmetries are normally broken in spatial dimension, however they can also be
broken temporally leading to the concept of discrete time symmetries and their
associated crystals. Discrete time crystals (DTCs) are a novel state of matter
emerging in periodically-driven quantum systems. Typically, they have been
investigated assuming individual control operations with uniform rotation
errors across the entire system. In this work we explore a new paradigm arising
from non-uniform rotation errors, where two dramatically different phases of
matter coexist in well defined regions of space. We consider a quantum spin
network possessing long-range interactions where different driving operations
act on different regions of that network. What results from its inherent
symmetries is a system where one region is a DTC, while the second is
ferromagnetic. We envision our work to open a new avenue of research on
Chimera-like phases of matter where two different phases coexist in space.
