An equation describing an ellipse. (need 2 graphs for positive and negative values). "a" is the X-scalar, and shortens X as it approaches infinity. Conversly it gets infinitely long as X approaches 0. This is true for the Y-scalar, "b", as well. I've allowed "b" to be negative to show what happens. It forms a wormhole shape, but only if a is positive. If a and b are negative, then the graph forms an odd hyperbolic figure. "m" is the z-scalar and only increases or decreases the "z" value. "a" and "b" can also be exactly represented through the maximum z value squared divided by m and the maximum value for the corresponding variable. Click on play for "a" and "m" to watch a basic ellipsoid form grow and shrink. Press play on "b" to watch an ellipse turn into a wormhole (form). If a,b,m=1, the figure is a sphere. There is a related function in sin(arccos(b/a)) form that is identical graphically and can be generalized for all complex numbers as well.
