I am wondering how to include both a plane and a conic (preferably 2 nappes) where the plane slices the cone to produce an intersection for the case of a hyperbola? Plane is not an allowed primitive of Graphics3D.
Eventually I'd like to add Manipulate and have the intersection of the plane with the cone highlight and show the actual cone and plane as partially transparent.
Works perfectly! Thank you!
Plane is not an allowed primitive of Graphics3D.
... but there is InfinitePlane, try e.g.:
InfinitePlane
Manipulate[Graphics3D[{Opacity[.7], InfinitePlane[{{0, 0, 0}, {1, 0, x}, {0, 1, y}}], Cone[]}, Axes -> True], {{x, 0}, -1, 1}, {{y, 0}, -1, 1}]