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Trying to make a nice three-dimensional graphics of cone intersected by a plane I choose a slight rearrangement of an existing approach in Mathematica (i.e. books by S.Mangano and S.Wagon). The code beneath is assumed to show so-called Dandelin construction : the inner and outer spheres tangent internally to a cone and also to a plane intersecting the cone. Tangency points of spheres to the plane at the same time are foci of the ellipse. Block[{r1, r2, m, h1, h2, C1, C2, M, MC1, MC2, T1, T2, cone, slope, plane}, {r1, r2} = {1.4, 3.4}; m = Tan[70.*Degree]; h1 := r1*Sqrt[1 + m^2]; h2 := r2*Sqrt[1 + m^2]; C1 := {0, 0, h1}; C2 := {0, 0, h2}; M = {0, MC1 + h1}; MC2 = MC1*(r2/r1); MC1 = (r1*(h2 - h1))/(r1 + r2); T1 = C1 + r1*{-Sqrt[1 - r1^2/MC1^2], 0, r1/MC1}; T2 = C2 + r2*{Sqrt[1 - r2^2/MC2^2], 0, -(r2/MC2)}; cone[m_, h_] := RevolutionPlot3D[{t, m*t}, {t, 0, h/m}, Mesh -> False][[1]]; slope = (T2[[3]] - T1[[3]])/(T2[[1]] - T1[[1]]); plane = ParametricPlot3D[{t, u, slope*t + M[[2]]}, {t, -2*m, 12/m}, {u, -3, 3}, Boxed -> False, Axes -> False][[1]]; Graphics3D[{{Gray, Opacity[0.39], cone[m, 1.2*(h2 + r2)]}, {Opacity[0.5], Sphere[C1, r1], Sphere[C2, r2]}, {LightBlue, Opacity[0.6], plane}, PointSize[0.0175], Point[T1], Point[T2]}, Boxed -> False, Lighting -> "Neutral", ViewPoint -> {-1.8, -2.5, 1.5}, ImageSize -> 950]] Here is the graphics : The problem is with the white spots around the both spheres near tangency points. Putting the above code to Manipulate[...GrayLevel[z]...{z,0,1} ] we can easliy "remove" the spots as z tends to 1. Can anyone see a different approach to removing the white spots ? I prefer GrayLevel[z]</cod

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