A set of panels (1,2), each panel comprising: • a top surface and a bottom surface; • a first edge and a second edge parallel to the first edge, said edges (6, 7) extending between said top and bottom surfaces (5, 4); • a first groove provided in the bottom surface of each panel, said first groove extending parallel to and along the first edge of the panel; • a second groove provided in the bottom surface of each panel, said second groove extending parallel to the first groove along the second edge of the panel; • a locking profile allowing locking a first panel with its first edge to the second edge of a second panel, said locking profile comprising a base and at least three protruding rims (17, 18, 19) extending parallel to one another in the longitudinal direction of the locking profile, a first rim pressed in the first groove of a first panel and a second rim situated in between the first and third rims (17, 19) of each locking profile and cooperating with a part of the first panel such that a section of the bottom surface of the first panel is permanently clamped between the first rim and the second rim (17, 18) of the locking profile, the third rim configured to fit in the second groove of a second panel thereby locking the second panel to the first panel, characterized in that at least the first rim and the second rim are continuous along the entire length of the locking profile, and in that the first groove defines an abutment surface for the first rim, which abutment surface is angled in view of the bottom surface such that the section of the first panel clamped between the first rim and the second rim of the locking profile increases in width towards the bottom surface of the panel. • a top surface and a bottom surface; • a first edge and a second edge parallel to the first edge, said edges (6, 7) extending between said top and bottom surfaces (5, 4); • a first groove provided in the bottom surface of each panel, said first groove extending parallel to and along the first edge of the panel; • a second groove provided in the bottom surface of each panel, said second groove extending parallel to the first groove along the second edge of the panel; • a locking profile allowing locking a first panel with its first edge to the second edge of a second panel, said locking profile comprising a base and at least three protruding rims (17, 18, 19) extending parallel to one another in the longitudinal direction of the locking profile, a first rim pressed in the first groove of a first panel and a second rim situated in between the first and third rims (17, 19) of each locking profile and cooperating with a part of the first panel such that a section of the bottom surface of the first panel is permanently clamped between the first rim and the second rim (17, 18) of the locking profile, the third rim configured to fit in the second groove of a second panel thereby locking the second panel to the first panel, characterized in that at least the first rim and the second rim are continuous along the entire length of the locking profile, and in that the first groove defines an abutment surface for the first rim, which abutment surface is angled in view of the bottom surface such that the section of the first panel clamped between the first rim and the second rim of the locking profile increases in width towards the bottom surface of the panel.