It's funny and interesting that you can tile the plane with an infinite collection of spectres and one solitary 12-pointed star https://hachyderm.io/@simontatham/112648811482544052| mathstodon.xyz
Attached: 2 images @simontatham@hachyderm.io Really cool blog post. I'd come across transducers in the context of Wang tiles (https://arxiv.org/pdf/1506.06492), but hadn't expected to see them show up here. A complementary approach to this is given by beta-numeration and the cut-and-project scheme. You'll have to take my word for it, since I haven't written up the details, but the space of Hat tilings with a marked tile is in bijection with the disjoint union of the closures of the shapes (wi...| Mathstodon
Some loosely organized thoughts on the current Zeitgeist. They were inspired by the response to my recent meta-project mentioned in my previous post https://mathstodon.xyz/@tao/115254145226514817, where within 24 hours I became aware of a large number of ongoing small-scale collaborative math projects with their own modest but active community (now listed at https://mathoverflow.net/questions/500720/list-of-crowdsourced-math-projects-actively-seeking-participants ); but they are from the pers...| mathstodon.xyz