John Carlos Baez on Nostr: If we draw all the fractions in the world as a line instead of a circle, and draw all ...

If we draw all the fractions in the world as a line instead of a circle, and draw all the curved triangles in the upper half-plane instead of a disk, and subdivide each triangle into 6 smaller ones, we get this picture.

Here the yellow and purple curved triangles are 6 pieces of a single larger triangle.

And yes, two of are very distorted, because they have a vertex at 1/0, which is infinitely far up the page!