The Function Box Idea


"Bug on a band"
My dad, Clifford Long, dreamed up a function box, a machine for dynamically producing surfaces of functions of two variables.

He was big on what are now known as manipulatives: for example, he built a large wooden hyperbolic paraboloid to use in multivariate class, because he knew that lots of students have trouble visualizing surfaces (e.g. those projected onto a screen).

But this was an extremely time-consuming and energy-intensive process: he wanted something computer-controlled, that would allow him to dynamically produce such surfaces.


"Infinity": Spanning surface for the trefoil knot, in alabaster

But how does one create a function box?