  For certain class of triangles (with angles proportional to $\fr{\pi}{N}$,
$N\geq 3$) we formulate image method by making use of the group $G_N$ generated
by reflections with respect to the three lines which form the triangle under
consideration. We formulate the renormalization procedure by classification of
subgroups of $G_N$ and corresponding fixed points in the triangle. We also
calculate Casimir energy for such geometries, for scalar massless fields. More
detailed calculation is given for odd $N$.
