the invention this housing 6 receives an adaptation piece 20 forming a wedge intended to receive the components 30 for interacting with the binding proper thus as illustrated in fig2 in an alternative embodiment this adaptation piece 20 has a front side 21 whose curvature is complementary with the heel step 8 of the housing and is therefore bent in the direction of the toe 5 of the sole 3 conversely the rear side 22 of this adaptation piece 20 is itself bent in the direction of the heel 4 of the sole the two lateral sides 23 and 24 have profiles allowing them to be placed flush in the openings 10 11 of the housing 6 in a preferred form the adaptation piece 20 is via its front 21 and rear 22 sides circumscribed by a cylinder which makes it possible to adjust the angular position of the components for interacting with the binding with respect to the longitudinal axis of the foot and thereby that of the foot on the snowboard without having to act on the binding proper in other words the sides 21 and 22 of the adaptation piece 20 have an identical curvature and their centers of curvature coincide in practice it has been determined that the diameter making it possible to accommodate a maximum number of binding types while remaining compatible with the constraints regarding rigidity and manufacturing of the shoe should be between 105 and 120 millimeters and that the associated depth.