Maximizing the Number of Students in a Tour Group

Math Problem Statement

几位同学假期组成一个小组去某市旅游. 该市有6座塔，它们的位置分别为ABCDEF。同学们自由行动一段时间后，每位同学都发现，自己在所在的位置只能看到位于ABCD处的四座塔，而看不到位于E和F的塔。已知：

同学们的位置和塔的位置均视为同一平面上的点，且这些点彼此不重合；塔中任意3点不共线；看不到塔的唯一可能就是视线被其它的塔所阻挡，例如，如果某位同学所在的位置P和AB共线，且A在线段AB上，那么该同学就看不到位于B处的塔。

请问这个旅游小组最多可能有多少名同学？

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Geometry
Visibility in 2D space

High School

Analysis of Visibility in Geometry: Maximum Students in Tour Group

Maximum Number of Students with Visibility Constraints in Geometry

Maximum Number of Students in a Tour Group with Viewing Constraints

Maximum Number of Students in a Group with Visibility Constraints in Geometry

Maximum Number of Students with Restricted Visibility Problem in Geometry