This is just a general pattern: applied mathematicians are often using things pure mathematicians haven't proved to be true yet. The examples are widespread for the generalized Riemann hypothesis. There are statements we aren't sure about, but there's also a lot that we are sure about but not sure about the proof of.

Can you list some better books for those of us who liked Le Guin and are interested in what could be better?

I would suggest "In the Mothers’ Land" from Élisabeth Vonarburg. It also talk about alternate society centered around gender. I didnt really liked the left hand of the night, but liked that one. And LeGuin saluted the book apparently too.

it's hard to understand for me what you liked in Le Guin's books, but maybe Children Of Time?

That's a good example of "very shallow and mainstream" writing, but Tchaikovsky isn't in the same league as Le Guin at all.

The dots need to be the vertices of equilateral triangles for the Voronoi diagram to be hexagons, the above is a rectangular grid rotated 45 degrees.

You can overlay a regular hexagonal tessellation over a regular triangular tessellation to see this.

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Mathematician, want to work on AI. You only need to double my salary as a Ph.D. student and I'm on board lol.

Why is the scrolling janky?

Terry Tao is writing about this on his blog.

How long did it take for mobile repair shops to proliferate? Surely solar repair shops will also appear.

It reads more like mysticism than a serious claim of novelty, chill out.

> a new type of graphing called "fuzzy graphing"

> For all the history of computational mathematical visualization, graphing equations has been done in binary mode

These are very concrete, non-mystical claims. But do you really think "mysticism" is better here?

The first app that lets you type in an implicit curve and get a graph of its level set is a very different claim from "For all the history of computational mathematical visualization, graphing equations has been done in binary mode".

The millions of brightly-colored fractal posters adorning walls in the 80s are a very clear counter-example to your claim.

Your app is cool and the visualization is neat. The hyperbolic claims of originality really detract from that.

To be fair, yes, there are some places where non-binary graphing has been done (like error gradient graphs in AI), but as far as I know, this is the first app where you can type in a basic x/y equation and get a non-binary graph.

Lee taught Intro to Topological Manifolds for one quarter, and then the next two quarters where Intro to Smooth Manifolds. Then Riemannian, then vector bundles, and then complex manifolds.