iiinova — where your digital self keeps evolving

Reposted by Carlos Luna-Mota

Verociraptor @vkart.bsky.social · 28/09/2026

Violín robado ayer en Barcelona; si alguien lo ve en venta en alguna app, tienda de segunda mano; por favor que me avise.

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Carlos Luna-Mota @cluna.bsky.social · 23/09/2026

It is well known that: π ≈ 22/7 But it turns out that: √2 ≈ 10/7 √3 ≈ 12/7 So: π ≈ √2 + √3

Two equilateral triangles and a square, both with unit side lengths, forming a wrapped candy shape drawn on top of a 1/7 square grid.

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Carlos Luna-Mota @cluna.bsky.social · 19/09/2026

An even better (technical) reference on the subject: «Geometric Folding Algorithms» by Erik D. Demaine & Joseph O'Rourke. Turns out that every convex polygon can be folded to form a convex polyhedron in infinitely many different ways.

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Carlos Luna-Mota @cluna.bsky.social · 18/09/2026

The full solution to this problem can be found in «The Paper Puzzle Book» by Ilan Garibi, David Goodman & Yossi Elran.

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Carlos Luna-Mota @cluna.bsky.social · 18/09/2026

The Enclosed Tarp Problem: A square can be interpreted as the boundary of the net of an irregular tetrahedron. I wonder if there are other polyhedra whose nets have a rectangular boundary. Is this the only case?

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Josep Català @escolteume.bsky.social · 02/09/2026

Hola, estrenaré 🕛"la meva hora"🕑(ui sí) al novembre, però abans faré uns xous de prova. Aquest serà el primer. Vine a ser protagonista de La Història (ui sí). 🎟ENTRADES BARATETES ME LES PRENEN DE LES MANS 🎫 link entrades a sota💳

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Nacho Ferrer Gómez @ferrergomez.bsky.social · 30/08/2026

Vosaltres perquè no teniu puta idea de res i sou una colla de sotacarros, però això no té cap mena de sentit i és com si el Barça guanyés 4 xampions en un mateix any.

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Auuuulet 🍂👻 @aulet.es · 26/08/2026

"LibreOffice 26.8 contains no generative AI features. Documents are not transmitted to remote services for processing, and no component of the suite requires network access to function. This is a deliberate position."

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SuperSantiEgo @supersantiego.eurosky.social · 26/08/2026

Sí soy.

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Carlos Luna-Mota @cluna.bsky.social · 24/08/2026

Given that: 1 mark = 4 ferdings 1 ferding = 9 schillings 1 schilling = 3 pfennigs Then: 3 marks, 1 ferding, and 2 schillings minus: 2 ferdings, 1 schilling, and 1 pfennig equals: 2 marks, 3 ferdings, and 2 pfennigs.

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Lydia Kiesling @lydiakiesling.bsky.social · 23/08/2026

You have to be a better reader than a lot of people are lately to glean from this article the extent to which Finland's housing-first policy was wildly successful until a racist right-wing government derailed it by gutting funding and services. www.theguardian.com/society/2026...

theguardian.com

Finland tried to end homelessness. What can we learn from its runaway success – and recent failures?

The Housing First policy led to the number of homeless people in Finland dropping by half. Those with firsthand experience explain why it worked

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Fonsi Loaiza @fonsiloaizap.bsky.social · 23/08/2026

Decía Antonio Machado que el arma más destructiva que utiliza el fascismo es la mentira. Así funcionan las granjas de bots de la extrema derecha.

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Matt Henderson @matthen.com · 16/08/2026

Drawing all 16,777,216 possible 12 bit RGB colours in one 2D image, each exactly once. Pixels are mapped from the 256³ colour cube, following a three dimensional Hilbert curve, to a two dimensional Hilbert curve filling the square. so nearby colours stay close.

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enrritá @enrrita.bsky.social · 13/08/2026

No tireis las gafas del eclipse,las tendréis que usar los que vayáis a Vigo por Navidad.

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Arturo Puente @apuente.bsky.social · 02/08/2026

Este vídeo explica bastante un fenómeno. El poli le pide que se quite el pasamontañas y el otro dice que no, que tendrá problemas en el curro. En la moda del nuevo fascismo se creen que se puede ser nazi de fin de semana, ser un animal con los demás y que la sociedad les respete. Y eso no va a pasar

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Carlos Luna-Mota @cluna.bsky.social · 28/07/2026

A slightly better version of Kochański's approximation of π: Draw a unit circle and its circumscribed regular hexagon centered at (3, 1). The center of the circle and one of the vertices of the hexagon are roughly at distance π from the origin.

Draw a unit circle and its circumscribed regular hexagon centered at (3, 1).

The center of the circle and one of the vertices of the hexagon are roughly at distance π from the origin.

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Carlos Luna-Mota @cluna.bsky.social · 28/07/2026

Kochański published a π approximation in the late 1600s. mathworld.wolfram.com/KochanskisAp... Here is my simplified version: Draw a unit circle centered at (0, 1) and its circumscribed regular hexagon. The segment between the corner (1/√3, 2) and the point (3, 0) measures 3.1415333387...

A unit circle centered at (0, 1), its circumscribed regular hexagon, and a line segment from the hexagon vertex at (1/√3, 2) to the point (3, 0). The line segment length is approximately π.

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Carlos Luna-Mota @cluna.bsky.social · 28/07/2026

The rectangle of sides R and 22/7•R can be cut into 8 pieces that form an irregular dodecagon whose area approximates really well the area of the circle of radius R. Therefore: π ≈ 22/7 ≈ 3.142857... In the image above, you can also “see” the approximation: √2 ≈ 7/5 = 1.4

A proof without words of the approximation π ≈ 22/7 based on a dissection of an irregular hexagon approximating a circle or radius R that can be arranged into a rectangle whose area is 22/7 R².

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Carlos Luna-Mota @cluna.bsky.social · 28/07/2026

The area of the regular octagon (blue) inscribed in the unit circle (black) is 2√2. The area of the circumscribed regular hexagon (green) is 2√3. Averaging them we obtain this beautiful approximation of the area of the unit circle and, thus, of π: √2 + √3 ≈ 3,146264...

A black circle with a blue regular octagon inscribed and a green regular hexagon circumscribed.

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Carlos Luna-Mota @cluna.bsky.social · 28/07/2026

This “unit circle” is formed by 8 parabolic arcs that are tangent to the regular circumscribed octagon. Using an Archimedes formula, it is relatively easy to calculate the exact area of this figure, giving us this rough approximation of π: 6√2 - 16/3 ≈ 3.151948...

A red round figure approximating the unit circle inside a regular octagon.

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Filant Rol @filantrol.bsky.social · 16/07/2026

Per a una cosa que ja us ensenyaré he buscat la frase original en català de la Jihad Butleriana. Recordava la frase, però no la conversa que hi ha al voltant o l'apunt de la Reverenda Mare Superior. "No crearàs una màquina que falsifiqui l'esperit humà" Apliquem-nos-ho!

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Laura Knetzger @lauraknetzger.bsky.social · 13/02/2025

Hey guys meta announced a new policy where they send a killer to get you so be sure to go to settings>my account > killer> disable killer to turn that off

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Carlos Luna-Mota @cluna.bsky.social · 06/07/2026

Amb només 3 peces idèntiques, el Bucolic Cube de Yasuhiro Hashimoto aconsegueix que la nostra intuïció ens jugui totalment en contra. Per petició popular a les darreres #JAEM, he penjat l'STL de la meva versió a Printables: www.printables.com/model/177371...

printables.com

Bucolic Cube by Carlos Luna | Download free STL model | Printables.com

A great puzzle by Yasuhiro Hashimoto. | Download free 3D printable STL models

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Summer Brennan @summerbrennan.bsky.social · 05/07/2026

I ran an absolutely 100% human, zero AI-involvement at any stage passage of my writing through an "AI detector," curious if it could really tell human from AI work, and it said my own writing was "84% AI written" then asked I wanted to pay to have it "humanized." So there's that to keep in mind.

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Catriona Agg @catrionaagg.bsky.social · 04/07/2026

Three regular hexagons. The smallest has area 6. What’s the pink area? #geometrypuzzle

Two corners of the large yellow hexagon, and one corner of each of the other two hexagons, lie on the circle. All the hexagons are regular.

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Nydia🥳 @nyconene.bsky.social · 05/07/2026

No solemos cambiar de opinión durante una discusión. Lo hacemos después, cuando no nos miran y nuestro ego no tiene que defender su territorio. La gente que influye no humilla. Pregunta, escucha, despierta curiosidad. Hace que la otra persona sea quien encuentre la grieta en su propio razonamiento.

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El Mantecas @kikegdelariva.bsky.social · 27/06/2026

La belleza de esto

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Lorena Fernández Álvarez @loretahur.bsky.social · 24/06/2026

Necesito esta camiseta y la necesito YA.

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Quim Testar @quimtestar.bsky.social · 15/06/2026

És el Bertrand Russell del ser com tot.

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Hank Green @hankgreen.bsky.social · 13/06/2026

hankgreen.com/fourbythree

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María de la Ohlala @menchubasquero.bsky.social · 11/06/2026

Escuchen a Nerea porque siempre certera

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Michael Okun @michael-okun.bsky.social · 10/06/2026

I’ve officially resigned as Associate Editor for Frontiers in Systems Neuroscience. It used to be a reputable journal, but became a case study in how forced automation destroys academic integrity. 👇

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Manuel F. Herrador @manuelfherrador.eurosky.social · 10/06/2026

«Llevo tres años repitiéndolo como un disco rayado y seguiré haciéndolo mientras exista esa maldita página web: X es una plataforma de organización de extrema derecha brutalmente racista que SOLO FUNCIONA porque un gran número de centristas, izquierdistas y progresistas no dejan de apoyarla».

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BrokenBanker @brokenbanker.bsky.social · 07/06/2026

show me the lie:

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La Mari @lamari.bsky.social · 05/06/2026

Chillando con la letra pequeña.

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La Llama School @lallamaschool.bsky.social · 06/06/2026

Worst POV ever.

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Grave Robber-tson 🏳️‍⚧️ @gemofamara.com · 04/06/2026

are you just going to do this for every generation

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Carlos Luna-Mota @cluna.bsky.social · 31/05/2026

Do you like marble runs? Do you also like fractals? What about fractal marble runs? www.printables.com/model/174075...

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Carlos Luna-Mota @cluna.bsky.social · 21/05/2026

Això ens evita haver de marcar el centre, cosa que ens fa anar més ràpid i que deixa les cares del cub totalment netes de plecs. Més encara, obre la porta a practicar la estimació i a fer preguntes com ara: Fem per on fem el plecs, sempre que fem coincidir les vores, quina serà l'àrea resultant?

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