Jianxiang Tan Affiliated Middle School of South China Normal UniversityZhiyuan Zhang Affiliated Middle School of South China Normal University
S.-T. Yau High School Science Awarded Papersmathscidoc:1702.35015
In this paper we study the generalization of the Brocard congurations.
The denition of q-period broken line is given and then the new necessary and
sucient condition about the existence of two conjugate Brocard points of the
qperiod loop broken line is investigated. Based on the past research, a geometric
method for the construction of all possible loop broken lines with conjugate Brocard
points is developed.