Question 93
Consider 12 figures on the clock face as 12 points. Color them in four colors: red, yellow, blue and green. Each color is used for three points. Configure $n$ convex quadrilaterals with vertices in these points, such that
(1) there are no same color of vertices for each quadrilateral.
(2) among any three of these quadrilaterals, there is a color of vertices such that the vertices of that color are different.
Find the largest number of $n$. (posed by Tao Pingsheng)
(1) there are no same color of vertices for each quadrilateral.
(2) among any three of these quadrilaterals, there is a color of vertices such that the vertices of that color are different.
Find the largest number of $n$. (posed by Tao Pingsheng)