Tales from the ArXiv: Centenary of Emmy Noether's Invariante Variationsprobleme

This article commemorates the centenary of Emmy Noether's article Invariante Variationsprobleme.

Title: On the Wonderfulness of Noether's Theorems, 100 Years Later, and Routh Reduction

Author: Raphaël Leone

Abstract: This paper is written in honour of the centenary of Emmy Amalie Noether's famous article entitled Invariante Variationsprobleme. It firstly aims to give an exposition of what we believe to be the most significant and elegant issues regarding her theorems, through the lens of classical mechanics. Despite the limitation to this field, we try to illustrate the key ideas of her work in a rather complete and pedagogical manner which, we hope, presents some original aspects. The notion of symmetry coming naturally with the idea of simplification, the last part is devoted to the interplay between Noether point symmetries and the reduction procedure introduced by Edward John Routh in 1877.

Awesome Symmetric Plants

These symmetric plants are awesome!

Notes: The web page advertises 25 plants, but they appear to only include 24 of them. Also, the symmetries aren't literally "perfect", though many of them are really damn good. However, while the hyperbole of the title is a bit grating, the plants themselves really are awesome. Naturally, many of the different plants are also have different symmetries. (Tip of the cap to Vinko Zlatic.)

Name a Symmetry for Charity!

Come on. Name a symmetry for charity! You know you want to!

Mine is called "Mason's Spectacular Narcisstic Group". Part of the inspiration for my name was the "extraspecial group", whose name would also be accompanied by giggling whenever my Math 5 prof mentioned it. [He also invariably giggled whenever he added "with 1" to "commutative ring".]