Tootfinder

"Tiling with Three Polygons is Undecidable"
Erik D. Demaine; Stefan Langerman 17 Sep 2024
Abstract
We prove that the following problem is co-RE-complete and thus undecidable: given three simple polygons, is there a tiling of the plane where every tile is an isometry of one of the three polygons (either allowing or forbidding reflections)? This result improves on the best previous construction which requires five polygons.
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It remains open whether tiling …

The best thing about blogging is that I take things out of my head, which is full, and put them somewhere else.
The second best thing about blogging is that I meet more interesting people when I do it.

Sonnet 024 - XXIV
Mine eye hath play'd the painter and hath steel'd,
Thy beauty's form in table of my heart;
My body is the frame wherein 'tis held,
And perspective it is best painter's art.
For through the painter must you see his skill,
To find where your true image pictur'd lies,
Which in my bosom's shop is hanging still,
That hath his windows glazed with thine eyes.
Now see what good turns eyes for eyes hav…

@… Aha, I get you now! This is the best thing about proofs (I feel the same way about dependently-typed programming). The more information you can convey in a signature or type, the less you need to look inside.
I'm surprised you say that Go is close to it, though; is this because of culture? I'm sure that Rob Pike shouting “don't do anything cle…

Interesting report on an old #archival preservation technique and its challenge for #digitization.
A literal 'Spürnase' is helpful: "a faint scent of vanilla is present, a sign that the paper itself has begun to break down" 👃

Digital Collections Spotlight #52: Digitization for Preservation: PEC Letter Books « Moravian Archives

@… @… There is so much right about this that I don't know where to start.
The only worry I have is that it sounds hard for someone else to create a competing implementation, and I think that we need more of that from our…

@… Very cool!
I agree. This isn’t the 1980s any more, and we’re past the point that one person can build an operating system. And this is a large chunk of an operating system.
This is why I’m not even trying. But if people were willing to try with me, and I trusted them, I might change my mind.
(Unrelated: I am working on another pair of “…

@… There is a read API, but it returns “”.