  The tropical (p, q)-homology groups of Itenberg, Katzarkov, Mikhalkin and
Zharkov are the tropical analogues of the Hodge decomposition of the cohomology
of complex algebraic varieties. There is a well-defined intersection pairing on
tropical (1, 1)-classes of a compact non-singular tropical surface. Here we
compute directly the (1, 1)-homology of a non-singular floor decomposed
tropical surface in tropical projective space, along with the intersection
form.
