Visualization in two dimensions of how the unweighted, the reduced, and the reduced ellipsoidal weight functions project the particle distribution onto itself, onto a sphere (circle in 2D), and onto an ellipsoid (ellipse in 2D) in the summation for the shape tensor. The colors and sizes of the particles only are different to emphasize that the reduced and reduced ellipsoidal weightings project their positions onto the same circle and ellipsoid, respectively.