As this construction was new to me, I wanted to see it. Here are two random examples. The green points are centroids.
http://cs.smith.edu/~orourke/MathOverflow/FivePointsr34.jpg
http://cs.smith.edu/~orourke/MathOverflow/FivePointsr34.jpg
Joseph O'Rourke
- 150.9k
- 36
- 358
- 958