  Inspired by various astrophysical phenomenons, it is suggested that
pulsar-like compact stars are comprised entirely of strangeons (quark-clusters
with three-light-flavor symmetry) and a small amount of electrons. In order to
better constrain the properties of strangeon stars, we propose a linked bag
model to describe the condensed matter by the strong interaction (i.e., strong
condensed matter) in both 2-flavoured (nucleons) and 3-flavoured (hyperons,
strangeons, etc.) scenarios. The model parameters are calibrated to reproduce
the saturation properties of nuclear matter, which are later applied to hyperon
matter and strangeon matter. Compared with baryon matter, the derived energy
per baryon of strangeon matter is reduced if the strangeon carries a large
number of valence quarks, which stiffens the equation of state and consequently
increases the maximum mass of strangeon stars. In a large parameter space, the
maximum mass and tidal deformability of strangeon stars predicted by the linked
bag model are consistent with the current astrophysical constraints. It is
found that the maximum mass of strangeon stars can be as large as $\sim
2.5M_\odot$, while the tidal deformability of a $1.4M_\odot$ strangeon star
lies in the range of $180\lesssim \Lambda_{1.4} \lesssim 340$.
