In this article, we show that for any positive integer \( r \geq 3 \) there is a pseudo Anosov homeomorphism \( \varphi : {\mathbf D}_{r} \rightarrow {\mathbf D}_{r} \) on an $r$ times punctured disk satisfying the following conditions : \\ \noindent 1) its associated invariant unstable foliation ${\cal F}^{u}$ has no inner singular points. \\
2) $r$ punctures form a periodic orbit of period $r$ under \( \varphi . \)