a bit off topic but i worked on this lattice (called the
kagome lattice -from a japanese name for basket or something) during my physics day and the geometric properties are crazy ,and as a result the physics properties of the heisenberg model on it are crazy too (the ground state might have residual entropy at T=0 because it remains ennormously degenerated ). it would be very very different from a square lattice even if coordinance is 4 too: for example it is not bipartite ie you cannot divide it into 2 sublattices where no 2 summit on the same sublattice are niegihbors (this is trivial with a square lattice )
in some sense you always have bad shape: a 2 stone chain have only 5 lib instead of 6 in the square lattices. an empty triangle have 7 libs on the square, but a "full triangle" (3 stones of same color on same triangle) have 5 on the kagome.
making eyes in the center would be near impossible: you need at least 9 stones to enclose a single eye and be connected (vs 7 on the square lattice) and 12 stones to be alive in the center
on the other hand seki might be easier to get
In theory, there is no difference between theory and practice. In practice, there is.
