Gates Rudd, Dunfield, and Obeidin just put out their preprint Computing a link diagram from its exterior. It describes “the first practical algorithm for finding a diagram of a knot given a triangulation of its exterior”. Neat. Really neat. I’ve been doing it the hard way.
As one application of their work, they found a surgery diagram of the Seifert-Weber Dodecahedral space. Here’s Figure 21 of Section 9.2.

Here’s one I came up with back in September 2019 in response to a MathOverflow question but never got around to cleaning up for public consumption.

Below we’ll take a look at some of the sketches that led to this surgery description.
Continue reading ‘A sketchy surgery description of the Seifert-Weber Dodecahedral space’