ABSTRACT
A friend of the famous Swiss artist Max Bill (1908-1994) asked the artist to make a sculpture that could be hung over his fireplace. Bill started to look for ideas, and he thought that he had invented a completely new shape simply by twisting a strip of paper. To his great surprise, people started to congratulate him on a fresh and original interpretation of the ancient Egyptian symbol for infinity and the Möbius band. Bill confessed: “I had never heard of either of them. My mathematical knowledge had never gone beyond routine architectural calculations, and I had no great interest in mathematics.”1 After this experience, over the years, Bill produced many other mathematical surfaces.
