  The parqueting-reflection principle is shown to also work for constructing
harmonic Green functions and harmonic Neumann functions for a class of domains,
which are bounded by two arcs in $\mathbb{C}$ with a special intersecting angle
$\pi/n, n\in\mathbb{N}^*$. Applying the Green representation formula and the
Neumann representation formula we solve the Dirichlet and Neumann boundary
problem to the Poisson equation in these domains.
