Tootfinder

I was just going to post two or three interesting links but they’re all from the same place, “Trivium” by @… - the latest entry is here: https://leahneukirchen.org/trivium/202

Eighth problem of the Arnold trivium
Timur Kenzhaev
https://arxiv.org/abs/2403.08803 https://arxiv.org/pdf/2403.08803

Eighth problem of the Arnold trivium
We give a full and detailed solution of eighth Arnold's trivium problem. We find critical points of a smooth function on a given one-parametric two-dimensional surface with Lagrange multipliers method. Basic Morse theory and Poincare-Hopf theorem makes it possible to determine a genus of this surface and gives a beautiful training example of Morse surgery on a two-dimensional surface of genus $g = 6$.

My picks for #ThursdayFiveList, sorted by size of #TheBlade (sorry, it's mostly rock/metal-oriented)
Trivium - Like a Sword Over Damocles