I put the four dots on the corners of a square and the fifth in the center. This results in the same square in the PCA pane but rotated about 45 degrees. Then,

I put the four dots on the corners of a square and the fifth in the center. This results in the same square in the PCA pane but rotated about 45 degrees. Then, if you take one of the dots on the square corner and move it ever so sligthly in and out, you see the PCA square wildly rotating. Pretty cool to demonstrate sensitivity to small changes in the inputs.