I was looking at this excellent website this afternoon, and was puzzled by two diagrams showing the symmetric and antisymmetric wavefunctions. In the latter case the text states that the particles are far away from each other, explaining the Pauli Exclusion Principle, etc. But looking at the contour maps showing the density of the particles at a particular location, both symmetric and antisymmetric wavefunctions look identical in form, just rotated by 90 degrees from each other. Here's the page: http://galileo.phys.virginia.edu/classes/252/symmetry/Symmetry.html There must be something perfectly obvious that I'm overlooking here. Any help would be appreciated.