This design features multiple parts which fit together on the stand to create a cone shown in the picture. A circle, an ellipse, a parabola and a hyperbola are all present.

This design was inspired by this Khan Academy video - https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:conics/x9e81a4f98389efdf:conics-intro/v/introduction-to-conic-sections

A future version of this design may not feature the slices and just connect directly piece to piece. Here, there would be five pieces with two of these only containing a circle and a hyperbola, and another 3 with one section on one side of it and the following piece on the other eg a piece with a circle visible at one side and an ellipse at the other.