Resch　patterns　have　a　great　potential　to　be　utilized　in　many　engineering　applications,　as　they　can　be　folded　into　curved　profiles　from　planar　sheets.　They　are　rigid　foldable　but　with　a　large　number　of　degrees　of　freedom　(DOF)　when　there　are　many　units　tessellating　in　the　patterns,　which　constrains　the　applications　due　to　the　difficulty　in　control　the　motion　symmetrically.　In　this　paper,　in　order　to　achieve　the　single　mobility　for　a　limited　number　of　triangular　Resch　pattern　units,　the　thick-panel　technique　is　employed　at　each　vertex　to　reduce　the　DOF　to　one.　Then　the　compatibility　among　all　the　vertices　has　to　be　satisfied　by　the　systematical　kinematic　analysis　on　the　geometric　parameters　of　the　Resch　pattern　and　panel　thickness.　Eventually,　two　design　schemes　are　obtained　to　form　the　one　DOF　origami　structure　with　doubly-curved　intermediate　folding　configurations,　which　could　be　further　tessellated　into　a　large　pattern　for　various　engineering　applications.