Mathematical and Physical Journal
for High Schools
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Problem B. 4714. (May 2015)

B. 4714. Given 2015 points in the plane, show that if every four of them form a convex quadrilateral then the points are the vertices of a convex 2015-sided polygon.

(4 pont)

Deadline expired on June 10, 2015.


80 students sent a solution.
4 points:55 students.
3 points:8 students.
2 points:6 students.
1 point:3 students.
0 point:8 students.

Problems in Mathematics of KöMaL, May 2015