The goose that laid the golden egg.

and saw that their graphs were parabolas. Since this shape was so different from a circle, with what did not appear to me to be an enormous difference in mathematical form, I wondered what other curves of the form x + y = 1 would look like. Fortunately, I have an Atari 800 computer at home which allows me the opportunity to make such an investigation relatively simple. Eventually, I became bored with integral exponents and, since I had been working with the golden ratio for a math project, I wondered what x^ + y$ = 1, where = the Golden Ratio, 1.618033989..., would look like. Inasmuch as all other facets of this ratio that I had investigated were so special, I thought that graphs using it should have very interesting shapes. I was correct. As soon as I looked at the shape generated by x^+ y$ = 1 , 1 recognized it as one end of an egg. This was an amazement to me. Knowing that eggs do not have two axes of symmetry, I wondered whether I could combine the curve generated with the curve of a slightly altered function to create the rest of a realisticallyshaped egg. My hypothesis was that there is an egg shape (which I called the "golden egg") whose configuration is directly related to the golden ratio. It is a composite shape, different from a circle, ellipse, or oblate spheroid. The left portion of the egg is the graph of the function generated by the golden ratio exponential x^ + y$ = 1. The right portion of the egg is the graph of the function generated by the golden ratio exponentials