**Hosted by The Math Forum
**

If

Tis a triangle letM(T) be the triangle formed by the three medians ofT. (In other words, form the triangle M(T) using the 3 line segments which each start from a vertex of T and end at the center of the opposite side.) What is the relationship ofM(M(M(M(T)))) toT?

© Copyright 1998 Stan Wagon. Reproduced with permission.

2 October 1998