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 paraboloid: {u Cos[v], u Sin[v], u^2} with the distance k = 1.5 and as pole P = {0, 0, 1}.