…symmetry isn’t just a preference for “pretty” shapes. Contents Introduction The HM-AM-GM-QM Inequality The two circles The Semicircle The Container The 3D container The Sum of Squares Inequality Nesbitt’s Inequality Conclusion Introduction While I was randomly browsing the web, I came across this nice picture: Roland H. Eddy, Memorial University of Newfoundland, Canada, 1985 And it tickled my imagination a little, just enough to write this short post.