Tessellation　is　an　efficient　and　convenient　way　to　construct　large　mobile　mechanisms　with　less　DOF　and　has　been　widely　adopted　in　large　deployable　structures,　in　which　origami/kirigami　is　usually　adopted　as　units　due　to　its　better　symmetric　properties.　However,　the　existing　origami/　kirigami　units　are　quite　limited　because　the　discovery　mainly　depends　on　the　inspiration　of　designers.　In　this　paper,　we　propose　a　new　way　to　find　units　by　setting　link　lengths　to　be　zero　with　overconstrained　linkages.　A　kirigami　pattern　is　obtained　from　twofold-symmetric　Bricard　6R　linkage　and　two　kinds　of　novel　tessellations　are　subsequently　constructed.　Kinematic　analysis　shows　that　the　obtained　tessellations　can　be　folded　as　tubular　and　eggbox-like　structures.　Meanwhile,　the　folding　performance　of　these　tessellations　on　geometric　parameters　is　analysed　for　potential　applications,　and　the　results　are　validated　by　fabricating　some　prototypes.　Therefore,　the　proposed　kirigami　pattern　and　the　corresponding　tessellations　extend　the　family　of　large　deployable　structures.