The invention relates to an implantable surgical ring (1) intended for being placed around a biological organ forming a bag in order to modify the flow area thereof said ring comprising a flexible strip (2) capable of winding around an axis (X-X") to form a loop around the organ and which has one ventral surface (10). Said flexible strip (2) is preformed such that the ventral surface is curved around said axis (X-X") and divided into a plurality of contiguous and intersecting facets (20 120 220 320) which are connected to one another by transition areas (21 121 221) forming predefined hinging creases with angle coverage with respect to the axis (X-X") of no more than 5° each facet (20 120 220 320) covering an angle sector substantially between 15° and 35°.
