Li Zhou, Do dogs know the bifurcation locus?,
Forum Geometricorum, 17 (2017) 45--46.
Abstract. A dog runs at speed r and swims at speed s, with r > s.
For a fixed point A in a lake with a straight shoreline, where are all
the points B in the lake such that the direct swimming path from A
to B takes the dog the same time as the fastest indirect swimming-
running-swimming path? We give a simple geometric solution to this
bifurcation-locus problem.
[ps file]
[pdf]
Return to Forum Geom., 17 (2017) Table of Contents