Can that do the rounded ball shapes they were showing? I cannot see how a wire could do that.
I just searched for Electrical Discharge Machining in tidal, sadly no hits.
I wondered the same thing myself. Even the helical shaped pieces seem hard to do with a straight wire. However, rotating the machined piece and doing multiple slices in small steps could certainly create most any shape desired I'd think.
I helped make some speakers once out of multiple layers of flat MDF. They were stacked vertically, 3/4 inch thick. I used a jig saw to cut rounded complex shapes and angled each layer on the cut. I and a friend were able to create compound curves for a complex rounded low diffraction shape. But we only made a series of straight angled cuts. We did have to sand the end result, but that was mainly for glue that oozed out of the clamped together pieces. The wood itself fit together just so, and really needed nothing.