@mcc that chart of abstract algebra you mention exists https://explanaria.github.io/sketches/algebraicstructures/
@cinebox it's nothing to do with quadrants! In a nutshell, if you study the types of numbers you can construct with +-*/ and nth roots, there's a connection to a certain mathematical "group". If you can solve a polynomial with +-*/ and nth roots, that translates to a certain group being "solvable", meaning having some smaller groups inside it. Then you can prove there are some groups which 1. Some quintic polynomials can be translated into, and 2. Aren't solvable.
The name of the type of math which the proof is using is "Galois theory".
@65dBnoise I'm not really sure what the alternative is. do you think NASA should only use unprocessed raw images on its websites for the general public?
The artistic liberties might be distracting for you, an ultra space nerd, but you're not the target audience here. I think for a header image on a page most people will scroll by, for the general public, most of whom don't even know what earthshine is, it's perfectly fine.
@65dBnoise I think you're taking this a bit too seriously? Of course it's impossibly well lit, otherwise you couldn't see the surface and know it was mars. It's art meant to symbolize, not technical drawings meant to be 100% realistic. Otherwise Mars would be a tiny dot next to the moon.
@tindall what kind of things can you do with just those? is there a good super simple summary of shenanigans?