Midpoint polygons

thingiverse

If you join midpoints of an object, it creates a 2nd object, and if you join the midpoints of the 2nd objects it creates the original 1st object., This model is to illustrate that idea to help kids understand it. Midpoint Polygon Conjecture: For every simple polygon there exists a smallest natural number k such that after k iterations of midpoint polygon procedure, we obtain a convex polygon.