Title

Gauss' Hidden Menagerie: From Cyclotomy to Supercharacters

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2015

Keywords

Gaussian periods, polygons, cyclic supercharacters, cyclotomic polynomials

Abstract

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."

Comments

Final published version can be found at: 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.

Rights Information

© 2015 American Mathematical Society