A recent discovery near Luxor, Egypt reveals one of the world's Earliest Patterns.
http://www.newscientist.com/data/images/ns/9999/99994847F1.JPG [BrokenLink]It is about 3500 years old and is said to have been the pattern for a sculpture. It is a front view and at first glance, one immediately thinks of one located nearby.
Or could it be a sketch of an already existing sculpture?
What is shown appears to have been sketched in a 4 high 5 wide grid, with the image being symmetrical upon a centerline drawn vertically at the middle of the third grid boxes.
Also apparent are 90 degree circular arcs, parabolas, and other mathematical shapes. It is amazing and heightens my curiosity as to the degree of knowledge of mathematics of the ancients. It is apparent that it was well developed.
Books about the mathematic prowess of the Egyptians:
The Crest of the Peacock: Non-European Roots of Mathematics by George Gheverghese Joseph (ISBN 0-691-00659-8 ). See chapter on Egyptian fractions.
Mathematics in the Time of the Pharaohs by Richard D Gillings
http://www.amazon.com/gp/reader/048624315X/ref=sib_dp_pt/103-4127322-1741432#reader-link
Could it be related to [the sphinx]: Probably not. They may look similar to a non-Egyptology student, but a large number of images and carvings looked roughly like that, and the details are not especially compellingly similar (there are sketches predating Napoleon using the Sphinx for target practice).