current community chat blog Mathematics Mathematics Meta Sign up or log in to customize your list. more stack exchange communities Stack Exchange sign up log in tour help Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site Mathematics Questions Tags Users Badges Unanswered Ask Question Take the 2-minute tour × Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required. “The Egg:” Bizarre behavior of the roots of a family of polynomials. up vote 318 down vote favorite 152 In this MO post , I ran into the following family of polynomials: $$f...