释义 |
Mice Problem mice start at the corners of a regular -gon of unit side length, each heading towards its closest neighboring mouse in a counterclockwisedirection at constant speed. The mice each trace out a Spiral, meet in the center of the Polygon, and travel a distance
The first few values for , 3, ..., aregiving the numerical values 0.5, 0.666667, 1, 1.44721, 2, 2.65597, 3.41421, 4.27432, 5.23607, ....See also Apollonius Pursuit Problem, Pursuit Curve, Spiral, Tractrix References
Bernhart, A. ``Polygons of Pursuit.'' Scripta Math. 24, 23-50, 1959.Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, pp. 201-204, 1979.
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