A necktie is a narrow fabric band of varying length worn around the neck and tied in a knot or bow close to the throat. The modern tie, ascot, and bowtie are descended from the 17th c. cravat. Originally, the four-in-hand necktie was cut on the square and had square ends. The bias-cut necktie, introduced in 1926, allowed the tie to fall evenly from the knot without twisting. Using mathematical modeling, researchers have discovered 85 possible necktie knots. How many are “aesthetically pleasing”? Discuss