Rules for quantum numbers are confusing but not arbitrary. They are based on wave mathmatics, and once laid out properly are symmetric and beautiful. Within four animation-clicks of the first slide of this PowerPoint Presentation, this beauty will unfold. I do not exaggerate to say, faculty members will be agape and students will say, "Why didn't you show us this before." No other presentation shows in as elegant a way the relationship between 1) n, l and ml, 2) the ordering of orbitals in hydrogen-like atoms, and 3) the ordering of orbitals in the periodic table (along with