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Conchoid surface of a cone

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

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