This paper presents the discovery of a hexagon result on Geometer’s Sketchpad and its generalization via proof for any 2n-gon. The result is : If ABCDEF is a hexagon with opposite sides parallel (not necessarily equal), then the respective centroids G, H, I, J, K and L of triangles ABC, BCD, CDE, DEF, EFA and FAB, form a hexagon with opposite sides both equal and parallel.
de Villiers, Michael
"A Hexagon Result and its Generalization via Proof,"
The Mathematics Enthusiast: Vol. 4
, Article 5.
Available at: http://scholarworks.umt.edu/tme/vol4/iss2/5