  A simple idea of relating the LQG and LQC degrees of freedom is discussed in
context of toroidal Bianchi I model. The idea is an expansion of the
construction originally introduced by Ashtekar and Wilson-Ewing and relies on
explicit averaging of certain sub-class of spin-networks over the subgroup of
the diffeomorphisms remaining after the gauge fixing used in homogeneous LQC.
It is based on the set of clearly defined principles, thus is a convenient tool
to control the emergence and behavior of the cosmological degrees of freedom in
studies of dynamics in canonical LQG. Relating the proposed LQG-LQC interface
with some results on black hole entropy suggests a modification to the area gap
value currently used in LQC.
