Bisecting Yin and Yang
In one of the very first posts on the blog I wrote about a problem of dividing a circle into parts of equal area. More recently I noticed that the solution to that problem supplies an insight into a puzzle posed first by the British puzzlist H. E. Dudeney at the beginning of the 20th century. The problem was to bisect the ancient Yin-Yang symbol
Using the standard tools of Eulidean geometry – straightedge and compass. The problem has been treated in the 1960s by C. W. Trigg, the then Problem Editor for Mathematics Magazine. Trigg offered 5 solutions in all: two by Dudeney and three apparently of his own. So now there is a sixth solution. Do you see it?
Reference
Bisection of Yin and Yang at Interactive Mathematics Miscellany and Puzzles
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