Brown doesn't apply to any particular differential. The logic was that separate is inherently unequal. If classrooms are inherently unequal because they're segregated on the basis of race, how are they NOT inherently unequal if they're segregated on the basis of gender?
"The logic was that separate is inherently unequal."
Brown V Board ruled on RACE issues, NOT on gender issues. Other subsequent rulings have killed most all-male public schools, notably VMI. If you're gonna cite a court case, Brown isn't the proper citation.
http://www.news.cornell.edu/stories/April05/Single.sex.schools.html
We separate all the time. WE separate according to geographic location, according to academic achievement, according to age, and according to luck of the draw. Under the absurd limit of your logic we must have every student in one place, experiencing the same things. Obviously, that is impossible.
No, the Board logic applies only to schools segretated on the bases of race, and decisions since that time have restricted that theory to issues of race.