Abstract: Two kinds of H-Coons patches with C1-continuity are constructed by two classes of H-Hermite polynomial functions on triangles. Triangular H-Coons patches present extensions of the Side-Side method and Side-Vertex method. These shapes depend on shape parameter
and the limiting case for  0are the triangular Coons patches. Changing the value of , the interior shape of the patches can be adjusted, but it don’t influence the boundary shape of the patches. The examples show that this method for constructing surface is effective.

Key words: computer application, triangular patches, H-Hermite polynomial, shape parameter