Back on topic After a bit of mucking around I got it to this developement: http://dl.dropboxusercontent.com/s/0l9bxm1l1f29m82/image.jpg...
Really? Where does this fit in the list: http://en.wikipedia.org/wiki/Developable_surface Or is it a "PolySurfaces and Freeform Curves" (see...
Really? Not even for pedagogical purposes? It doesn't help the designer to know how his tool works?
@NoEyeDeer Why the cone? Because portions of it are developable and this lends itself to ease of construction. I started with a lens shaped...
noeyedeer objected to the removal of subjective aesthetics from the design process. What I'm proposing is not removing aesthetic principles (which...
Thanks for that philSweet (and the previous American Mathematical Monthly article). Here are some references to Rabl's Method:...
Such a design would most applicable to stitch and glue construction. To be clear: the ends are straight in space but in the development...
It doesn't involve mysterious black arts (heuristics, subjective aesthetics, black box software, other peoples plans). Easy to draw. It's...
They may be hyperbolas in space but in the development its not so obvious. Surely? In fact, they will be straight lines (degenerate hyperbolas)...
No doubt. :)
(Cross posted on http://math.stackexchange.com/questions/1029981/development-of-intersection-of-two-cones-and-two-planes ) It is well known...