Just discovered Cristóbal Vila (@cristobalvila.bsky.social), an amazing 3D digital artist whose work blends geometry, design, and visual craft. Explore more of his animations here: etereaestudios.com/works/ — well worth a look (and no ads or pop-ups!).

What are the minimum and maximum areas of an equilateral triangle inscribed in a unit square? (possibly use only simple algebra and geometry, no trigonometry, no calculus).

The interstellar comet 3I/ATLAS is at its minimum distance from earth. Could be worth seeing it live on 20 Dec. 2025, starting at 04:00 UTC. It won't come back again! www.virtualtelescope.eu/webtv/

Robby the robot is a wonderful model to understand Genetic Algorithms, evolution, AI, information, memory, ... life (😳). It made me think in a new different way since I discovered it in @seanmcarroll.bsky.social "The Big Picture" and @melaniemitchell.bsky.social "Complexity". youtu.be/V1isB2lJr7I

In “Sync”, Steven Strogatz shows how systems evolve from randomness to synchrony. In music, some composers went the other way: from sync to un-sync. A phasing-like idea, long before minimalism, already present in Beethoven’s Sonatas. Maybe art’s tendency to defy form.

What are multi-agent systems with reinforcement learning, and why does "diversity" help them develop "collective intelligence"? This Cambridge PhD thesis by M.Bettini offers a clear and insightful overview. (Open access - download from): repository.cam.ac.uk/items/7d168345

Teaching electric current. In the Drude model, electrons move like little balls, bouncing off ions at random. With an applied electric field they drift, on average, and create a current. Soundtrack: Pinball Wizard (The Who). youtu.be/hHc7bR6y06M?...

Si narra che un giorno Aristotele andò all’anagrafe 🏛️ per un certificato. Imp.: Nome? A.: Ἀριστοτέλης (Aristotele) Imp.: Luogo di nascita? A.: Stagira Imp.: Anno? A.: 384 a.C. Imp.: Avanti… COSA??? 🤯

“L’io, io!… il più lurido di tutti i pronomi!… I pronomi! Sono i pidocchi del pensiero. Quando il pensiero ha i pidocchi, si gratta come tutti quelli che hanno i pidocchi… e nelle unghie, allora… ci ritrova i pronomi: i pronomi di persona.” [Carlo Emilio Gadda] (h/t #SergioSchneider)

In un capitolo del suo "A spasso con il cane Luna" (lettura consigliatissima) @gVallortigara ci racconta dell'arcipelago St. Kilda "un luogo ai confini del mondo". Come ha scritto Borges ("le rovine circolari" ) "Quel cerchio è un tempio che gli antichi incendi divorarono..."

Isn't it "surprising"? (another graphical solution to Kepler's equation)... ... So, planets moves as they do as if they were swung by a gigantic cosmic wave 😳...?! Credits: Newton's Principia, Marc Frantz: Some Graphical Solutions of the Kepler Problem scispace.com/pdf/some-gra...

The Physics of fresh eggs Credit: www.instagram.com/waystocooke/ waystocooke (Sydnee Cooke) www.instagram.com/waystocooke/...

Why does the buttered toast (almost) always land butter-side down? Is it Murphy’s Law? Is it the universe making fun of you? No, it's just the laws physics, babe! Robert Matthews (winner of the Ig Nobel Prize for physics in 1996) took the problem seriously... youtu.be/zwIfBSbNQCs?...

«È sparito anche il vuoto» è una splendida (ma poco nota) poesia di #EugenioMontale. È stata usata come epigrafe dal fisico #GuidoTonelli in “L’eleganza del vuoto”. Dagli antichi filosofi, alla teoria quantistica dei campi. Lettura di @assenteistamancato 🔊 youtu.be/fyYYVW9yjGI

In August 2010, Claudio Abbado conducted Mahler’s 9th in Lucerne. After the final note, the audience held its breath: 2'24" of a haunting and spooky silence—perhaps the longest ever after a live concert. Listen from 5:20 to 7:44 and enjoy the silence!😳 youtu.be/81AFdWXLNCU?...

TIL: Dysmorphophobia. How ugly do you think you are? (Tip: avoid mirrors or selfies for the next few days...) en.wikipedia.org/wiki/Body_dy...

The two blue and the red particles have opposite charges. Starting from the vertices of an equilateral triangle they move under Coulomb forces: blue-blue repulsion, red-blue attraction… The resulting motion is beautifully unpredictable. More on youtu.be/nqAcMm2o-kk

New paper: "Large Language Models and Emergence: A Complex Systems Perspective" (D. Krakauer, J. Krakauer, M. Mitchell). We look at claims of "emergent capabilities" & "emergent intelligence" in LLMs from the perspective of what emergence means in complexity science. arxiv.org/pdf/2506.11135

UNA VITA ESEMPLARE Non fumava, non beveva... morì-gerato #μstorie #unafraseunrigoappena #GianfrancoUber #sfera314

Today I noticed two new students sitting at the back of the classroom. They didn’t seem very much captivated by my linear algebra lesson… (but… who knows?) en.wikipedia.org/wiki/Sistine... #raffaello #boredlittleangels

Cena a lume di candela. Lei, tremante e trepidante: - E... se m'amassi? Lui, rassicurante, guardandosi attorno un po' distratto: - Ma no che non t'amasso! #μstorie #unafraseunrigoappena #CleudioTullii #sfera314

ex libro "De Papatopo et Fine Temporum" Ultimus Papa praenuntiatus est per avem mures evomentem. Calamitates secutae sunt: incendia, terrae motus, diluvia, siccitates, atque Intolerabilis Terrae Ardor. Tunc, post gemitus multorum et noctes sine luna, apparuit Papatopus, salvator generis humani.

Consider an equilateral triangle and place three equal masses at the 3 vertices. Are there points in the plane in which the net gravitational field is zero? (equilibrium pts or sort of Lagrangian pts) The centroid? Yes! But there are 3 other equilibrium points! 😳

Cardinali, ♝ attenti! Se una vostra "affrettata" ricerca su Google ha generato questo risultato, sappiate che non è di questo prodotto che andrete a discutere tra qualche giorno... (🔺 @iddio.bsky.social per favore mandagli istruzioni chiare e semplici. In fondo... so' ragazzi.... ) #Pontifex

During a gravitational elliptic orbit, the path traced by tip of the velocity vectors (collected together as to have a common origin) is a circle!!! 😲 In general, the curve traced by the tip of the velocity vector of a moving body is called "Hodograph". archive.org/details/1207...