diff --git a/User-Stories.md b/User-Stories.md index b044fa1..6d2516f 100644 --- a/User-Stories.md +++ b/User-Stories.md @@ -2,6 +2,6 @@ Brief summaries of activities one might try/problems one might solve with dyna3. - The cannonball shipping problem from the Playground in Math Horizons. -- A slightly farfetched one: put three or more "pins" in a plane (or in space). Constrain an additional point in the plane as the "pencil" such that the length of a string looped around the pins and the pencil in some way (there are multiple configurations) has constant length. Find the locus of positions of the pencil. (Generalizations of ellipse-drawing.) +- A slightly farfetched one: put three or more "pins" in a plane (or in space). Constrain an additional point in the plane as the "pencil" such that the length of a string looped around the pins and the pencil in some way (there are multiple configurations) has constant length. Find the locus of positions of the pencil. (Generalizations of ellipse-drawing; note James Clerk Maxwell considered these loci in his youth and apparently wrote an article or report of some kind on his findings.) - Somewhat less farfetched, another natural generalization of ellipse-drawing: find the locus of a point P such that the surface area of tetrahedron ABCP is a constant. (In the plane, an ellipse is the locus of a point P such that the perimeter of ABP is constant.)