The definition of a conchoid surface is: rc[u, v] = r[u, v] + k (r[u, v] - P)/Norm[r[u, v] - P] and rc[u, v] = r[u, v] - k (r[u, v] - P)/Norm[r[u, v] - P], P is the pole, k distance and r[u, v] the base surface. In this notebook we will obtain the conchoid surface of the plane z = 1, with the distance k = 3 and as pole P the origin.