We compute the finite-size corrections to the free energy, internal energy
and specific heat of the critical two-dimensional spin-1/2 Ising model on a
triangular and hexagonal lattices wrapped on a torus. We find the general form
of the finite-size corrections to these quantities, as well as explicit
formulas for the first coefficients of each expansion. We analyze the
implications of these findings on the renormalization-group description of the
model.Comment: 45 pages (LaTeX2e). Self-unpacking file containing the tex file and
three macros (indent.sty, eqsection.sty, subeqnarray.sty). Paper I
corresponds to cond-mat/0009054. Final versio