Artist's Comments on the Necklaces
The subject of each Necklace is the graph of a function of a complex
variable. First the complex squaring operation, then the cubing
function. In each case there are five images, starting with a disc and
ending with a doubly or triply covered disc, with intermediate steps
possessing three- or fourfold symmetry. The first of these pictures
appeared in rotated form as
"Z-Squared Crescent"
on the cover of the
Notices of the American Mathematical Society
issue of November 1996, with a technical
explanation inside.