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Add User Stories

Glen Whitney 2024-02-04 07:01:05 +00:00
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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.)
- 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.)