Here’s another entry from my Fun With Folding series: folding the centroid of a triangle! The centroid of a triangle has a lot of interesting properties, most notably serving as the center of mass of the triangle.
To fold your way to the centroid, use the midpoint fold three times to construct midpoints of each side of the triangle. Then, fold the line through each vertex and opposite midpoint. (Click here to find instructions for these basic folds.)
Like magic, all the medians intersect at the centroid!
Be sure to try some other fun mathematical activities with folding!
Have more Fun With Folding!