Is there a tool that can draw $y=x^3$ on paper?
I'm referring to low-tech tools, e.g. not computers.
I only know of tools that can draw $y=x^2$. The YouTube video "Conic Sections Compass" from khosrowsadeghi shows one; the Instructables entry "The Lost Art of the Conic Section Compass" by hombremagnetico gives a closer look. It is very simple. The axis of the "compass" is the axis of a cone, the pencil is a slanting "edge" of the cone, and the paper is a plane. The pencil traces the intersection of the plane and the cone - literally, a conic section.
In this answer to my previous question "How to draw a parabola using basic equipment?", I show another tool, as described in "A Geometrical Treatise on Conic Sections" (via archive.org) by W. H. Drew, that draws $y=x^2$.
I am looking for a tool that can draw $y=x^3$. It would surely exploit some property of the curve $y=x^3$. But how?
