Dry stacking system for erection of a facade, comprising: - bricks (2, 3, 4, 5, 27, 29), - a wall tie, wherein each brick (2, 3, 4, 5, 27, 29) has a top face and a bottom face which are configured to be flat in such a way that said bricks (2, 3, 4, 5, 27, 29) can be stacked with bottom faces of top-stacked bricks (2, 3, 4, 5, 27, 29) on top of top faces of under-stacked bricks (2, 3, 4, 5, 27, 29), wherein the top face and the bottom face of each brick (2, 3, 4, 5, 27, 29) have a groove (14, 15) which extends substantially in the length direction of said brick (2, 3, 4, 5, 27, 29), in such a way that the groove in the bottom face of each top-stacked brick (2, 3, 4, 5, 27, 29) opens into corresponding grooves in the top face of the under-stacked bricks (2, 3, 4, 5, 27, 29), and wherein at least one said brick (2, 3, 4, 5, 27, 29) as an anchoring brick (2, 29) has one or more recesses for receiving the wall tie, each recess extending from a rear face of said anchoring brick (2, 29) to beyond the corresponding groove;and - an anchoring clamping element which is configured to be attached to the wall tie and arranged so as to be clamped in the adjacent grooves (14, 15) of a top-stacked brick (2, 3, 4, 5, 27, 29) and the corresponding under-stacked brick (2, 3, 4, 5, 27, 29); wherein each recess is provided in the top face or in the bottom face and in a depth direction perpendicular to this top face or this bottom face, characterized in that each recess is delimited by a bottom and the dimensions of the one or more recesses in the length direction of the bricks (2, 3, 4, 5, 27, 29) are configured such that there are several possibilities for positioning the wall tie in one of these recesses, other than a position between side faces (12, 13) of adjacent bricks (2, 3, 4, 5, 27, 29). - bricks (2, 3, 4, 5, 27, 29), - a wall tie, wherein each brick (2, 3, 4, 5, 27, 29) has a top face and a bottom face which are configured to be flat in such a way that said bricks (2, 3, 4, 5, 27, 29) can be stacked with bottom faces of top-stacked bricks (2, 3, 4, 5, 27, 29) on top of top faces of under-stacked bricks (2, 3, 4, 5, 27, 29), wherein the top face and the bottom face of each brick (2, 3, 4, 5, 27, 29) have a groove (14, 15) which extends substantially in the length direction of said brick (2, 3, 4, 5, 27, 29), in such a way that the groove in the bottom face of each top-stacked brick (2, 3, 4, 5, 27, 29) opens into corresponding grooves in the top face of the under-stacked bricks (2, 3, 4, 5, 27, 29), and wherein at least one said brick (2, 3, 4, 5, 27, 29) as an anchoring brick (2, 29) has one or more recesses for receiving the wall tie, each recess extending from a rear face of said anchoring brick (2, 29) to beyond the corresponding groove;and - an anchoring clamping element which is configured to be attached to the wall tie and arranged so as to be clamped in the adjacent grooves (14, 15) of a top-stacked brick (2, 3, 4, 5, 27, 29) and the corresponding under-stacked brick (2, 3, 4, 5, 27, 29); wherein each recess is provided in the top face or in the bottom face and in a depth direction perpendicular to this top face or this bottom face, characterized in that each recess is delimited by a bottom and the dimensions of the one or more recesses in the length direction of the bricks (2, 3, 4, 5, 27, 29) are configured such that there are several possibilities for positioning the wall tie in one of these recesses, other than a position between side faces (12, 13) of adjacent bricks (2, 3, 4, 5, 27, 29).