Tootfinder

woke up an hour early. wandered into the woods. except for the slope with the spider. i gotta wait 15 minutes before the gender therapist joins the call. i forgot my water bottle. my clothes just feel alien as always.
he's a trans guy with this gay pride flag sorta-ribbon around his neck. i talk into my headphones like an old school telephone cause i wanna know how my voice sounds. while i have effective answers prepared to all cis people questions on my laptop (most people involv…

Quorum sensing of light-activated colloids in nematic liquid crystals
Antonio Tavera-V\'azquez, David Martin, Haijie Ren, Sam Rubin, Andr\'es C\'ordoba, Rui Zhang, Vincenzo Vitelli, Juan J. de Pablo
https://arxiv.org/abs/2507.10866

Quorum sensing of light-activated colloids in nematic liquid crystals
Motile living organisms routinely probe their surroundings to adapt in ever-evolving environments. Although synthetic microswimmers offer surrogates for self-propelled living entities, they often lack the complex feedback mechanisms that enable organisms to adapt. In this work, we present an experimental platform in which light-activated colloids dispersed in a nematic liquid crystal can (i) switch from directed to active Brownian motion depending on the nematic anchoring and (ii) mechanically …

Well, the good news is that it’s over. Run/walk staying in HR zone 2 and I think I was walking more than running. My fitness is 💩 right now. The humidity about killed me, even at 0730. I should have gone out earlier.
I’m at my in-laws place in Tennessee for the holiday weekend, of which this beautiful neighborhood has so few mature trees. As such, the sun gleefully poured out its angry menace upon me the entire time and I suffered. I am meant for cold weather.

A Two-Operator Calculus for Arithmetic-Progression Paths in the Collatz Graph
Sebastian Angermund
https://arxiv.org/abs/2506.19115 https://

A Two-Operator Calculus for Arithmetic-Progression Paths in the Collatz Graph
A recast of the standard residue-class analysis of the 3x+1 (Collatz) map in terms of two elementary operators on arithmetic progressions. The resulting calculus (i) splits any progression into its even and odd subsequences in a single step, (ii) gives a closed formula for every set of seeds that realises a prescribed parity word, (iii) yields a one line affine invariant that forbids trajectories consisting of infinitely many odd moves, and (iv) reduces the non-trivial-cycle problem to a pair o…