The aim of this article is to show that the transpose-dual pairs in the sense
of Ebeling-Ploog of singularities (Z1,0β,Z1,0β), (U1,0β,U1,0β), (Q17β,Z2,0β), (W1,0β,W1,0β) that are concluded to
be polytope-dual by the author are actually lattice-dual.Comment: 16 pages,3 tables,to appear in manuscripta mathematic