Bullet51 boosted

@no_TL In September, I was studying the "inverse geometry" en.wikipedia.org/wiki/Inversiv of Japanese mathematics "Wasan" en.wikipedia.org/wiki/Japanese. I thought the following image was the simplest and most beautiful result

Bullet51 boosted

Choose a random graph with countably infinite vertices by flipping a coin to decide whether to include each edge. Or, construct a graph with binary numbers as vertices, with an edge $$x$$—$$y$$ when $$x<y$$ and the $$x$$th bit of $$y$$ is one. Or, construct a graph on primes congruent to 1 mod 4, with an edge when one is a quadratic residue mod the other. They're all the same graph, the Rado graph (en.wikipedia.org/wiki/Rado_gra)! It has many other amazing properties. Now a Good Article on Wikipedia.

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