Tootfinder

Domino tilings beyond 2D
Caroline J. Klivans, Nicolau C. Saldanha
https://arxiv.org/abs/2507.22625 https://arxiv.org/pdf/2507.22625

Domino tilings beyond 2D
There is a rich history of domino tilings in two dimensions. Through a variety of techniques we can answer questions such as: how many tilings are there of a given region or what does the space of all tilings look like? These questions and their answers become significantly more difficult in dimension three and above. Despite this curse of dimensionality, there have been exciting recent advances in the theory. Here we briefly review foundational results of two-dimensional domino tilings and hig…

TONIGHT: Pulitzer-winning cartoonist Ann Telnaes discusses The Power of Editorial Cartoonists for Democracy!
Ann Telnaes resigned from WaPo when this cartoon was rejected.
She wrote, “...My job is to hold powerful people and institutions accountable. For the first time, my editor prevented me from doing that critical job.”
Sign up here: #FreePress #Democracy #Media

For example:
- Telling apart photos of cats and dogs is “AI.”
- Making up fake but plausible facts on an arbitrary topic is “AI.”
- Walking is “AI.”
- Doing long multiplication is something we might call “intelligence” in humans, but it is not “AI” because computers have •always• been good at it.
- Winning at checkers •used• to be “AI” because computers didn’t used to be able to do that, but now it’s not “AI” because computers have been good at it for too long.
5/

Beautiful
(Original title: Destroy "AI")
https://www.jwz.org/blog/2025/06/destroy-ai/

Destroy "AI"
Phineas: I've been getting mad a lot about hollow-eyed, artless money ghouls telling me what's inevitable and then I had an idea I had to draw about it. T-shirt!

Geometric implications of weak tiling
Mihail N. Kolountzakis, Nir Lev, M\'at\'e Matolcsi
https://arxiv.org/abs/2506.23631 https://

Geometric implications of weak tiling
The notion of weak tiling played a key role in the proof of Fuglede's spectral set conjecture for convex domains, due to the fact that every spectral set must weakly tile its complement. In this paper, we revisit the notion of weak tiling and establish some geometric properties of sets that weakly tile their complement. If $A \subset \mathbb{R}^d$ is a convex polytope, we give a direct and self-contained proof that $A$ must be symmetric and have symmetric facets. If $A \subset \mathbb{R}$ is a …

Good, Bad, Wild Card: PFF's review of Cowboys' roster telling story with unknown finish https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/05/31/how-do-the-cowboys-stack-up-…

Playing around with the MCP template in #dotnet. It's interesting stuff, and maybe can see the value in offering dev-time tooling for projects.

Notes on the one-loop amplituhedron and its BCFW tiling
Ran J. Tessler
https://arxiv.org/abs/2506.22238 https://arxiv.org/pdf/2506.22…

Notes on the one-loop amplituhedron and its BCFW tiling
These notes are based on talks I gave in the seminar "Mathematical structures in scattering amplitudes in quantum field theories" I organized in Weizmann Institute on Fall 24'. They study amplituhedra, and extend the proof of \cite{even2021amplituhedron} of the BCFW conjecture for tree amplituhedra to one loop.

Being autistic, I have to keep telling myself, "Yes, being gender-fluid is valid, and Norway lets me be who I am," just to really accept myself. 🏳️‍⚧️🇳🇴
https://en.wikipedia.org/wiki/Gender_fluidity

For example:
- Telling apart photos of cats and dogs is “AI.”
- Making up fake but plausible facts on an arbitrary topic is “AI.”
- Walking is “AI.”
- Doing long multiplication is something we might call “intelligence” in humans, but it is not “AI” because computers have •always• been good at it.
- Winning at checkers •used• to be “AI” because computers didn’t used to be able to do that, but now it’s not “AI” because computers have been good at it for too long.
5/