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单词 Mice Problem
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, ..., are
giving 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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更新时间:2024/11/15 2:13:55