Gauss' Hidden Menagerie: From Cyclotomy to Supercharacters
Gaussian periods, polygons, cyclic supercharacters, cyclotomic polynomials
We seek here to study Gaussian periods from a graphical perspective. It turns out that these classical objects, when viewed appropriately, exhibit a dazzling and eclectic host of visual qualities. Some images contain discretized versions of familiar shapes, while others resemble natural phenomena. Many can be colorized to isolate certain features; for details, see "Cyclic Supercharacters."
© 2015 American Mathematical Society
Garcia, S.R., Hyde, T., Lutz, B. (’13), Gauss’ Hidden Menagerie: From Cyclotomy to Supercharacters, Notices of the American Mathematical Society 62 (2015), no.8, 878-888.