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Glen Whitney 2024-02-07 04:34:40 +00:00
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User-Stories.md

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Brief summaries of activities one might try/problems one might solve with dyna3. Brief summaries of activities one might try/problems one might solve with dyna3.
- The cannonball shipping problem from the Playground in Math Horizons. - P370 Frugal Firepower from the Playground in Math Horizons Volume 25 no. 4. (the cannonball shipping problem) Find the configurations of five nonoverlapping unit spheres that have the maximal points of contact with planes parallel to the coordinate axes (the problem is really looking for the rectangular solid with minimum $l+w+h$ into which they will fit, but extremal solutions will necessarily have lots of contact).
- 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.) - 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.)