Before revision:   Also in higher dimensions, wheel sets turn out to be a suitable model to approach the problem of computing the simplicial depth of a point ~ w in a set ~ H, i.e., the number of simplices spanned by~H that contain~w.
After revision:  In particular, we rediscover an already known formula for w-embracing triangles spanned by H. Also in higher dimensions, wheel sets turn out to be a suitable model to approach the problem of computing the simplicial depth of a point ~ w in a set ~ H, i.e., the number of simplices spanned by~H that contain~w.