As　a　series　of　tessellation　origami　patterns　consisting　of　more　than　one　type　of　polygons,　Resch　patterns　are　generally　rigid　foldable　but　with　a　large　number　of　degrees　of　freedom　(DOFs).　The　patterns　are　not　flat　foldable,　instead　the　fully　folded　configuration　is　a　sandwich　style　in　flat　profile.　In　order　to　achieve　one-DOF　forms　of　triangular　Resch　pattern　units,　the　thick-panel　technique　is　employed　at　vertices　to　replace　spherical　linkages　with　spatial　linkages.　The　compatibility　among　all　the　vertices　is　studied　by　a　systematic　kinematic　analysis　of　the　thickpanel　Resch　pattern.　Finally,　two　design　schemes　are　obtained　to　form　a　one-DOF　origami　structure　between　the　initial　planar　structure　and　the　fully　folded　3D　sandwich　structure　with　dome-curved　intermediate　folded　configurations.　The　one-DOF　Resch　pattern　structure　can　be　used　to　generate　reliable　shape　transformation.