Simone Conradi
@sconradi.bsky.social
Theoretical Physics Ph.D., Computer Science Teacher. Author of “Intelligenza Artificiale” Zanichelli 2022. I draw using mathematics and Python, no generative AI. https://profconradi.com https://x.com/S_Conradi
Moritz Stefaner / Truth & Beauty@moritzstefaner.bsky.social · 2mo ago✨ New project! ✨ Mapping the hidden infrastructure which connects to >70% of plants, extends root networks up to 100x and reaches a length of 1 BILLION times the distance to the sun 🤯 Arbuscular mycorrhizal fungi! Learn all about them here: a-hidden-infrastructure.spun.earth w/ @spun.earth 💚
Another one! Made with #python #numpy #matplotlib and #marimo (and also #wigglystuff)
My chaotic attractor. Made with #python #numpy #matplotlib and #marimo (and also #wigglystuff)
Make a binary tree listing all matrix products of 1 0 and 1 1 1 1 0 1 If you multiply 1 1 on the left by all these matrices, you get the Calkin-Wilf tree. If you multiply 1 1 on the right by these matrices, you get the Stern-Brocot tree! math.colorado.edu/~kstange/pap...
Don’t miss #ComplexityThoughts: Issue #83 This week you will find latest research on AI, biology and population dynamics. open.substack.com/pub/manlius/...
A 5-fold quasicrystal as the orbit of the quasiaddition x ⊣ y = τ²x − τy on a regular pentagon (τ = Φ + δ). At δ = 0 you're exactly at the golden ratio. Sweep around it and the lattice breathes. Made with #python #numpy #matplotlib and #marimo.
John C. Baez@johncarlosbaez.bsky.social · 3mo agoAnyone here read Berman and Moody's "The algebraic theory of quasicrystals with five-fold symmetries"? They study an operation called quasiaddition: x⊢y = Φ²x - Φy where Φ = (1+√5)/2. Doing that repeatedly to all the points in the pentagon shown here generates a quasicrystal, they claim! (1/2)
A few days ago, I had the pleasure of giving a guided tour of my exhibition The Invention of Time to Sebastià Xambó, my high school mathematics teacher, who introduced me, back then, to some great books (lk Arbib’s here). Never forget to tell your teachers how important they have been in your life.
It's taken way longer than I had originally anticipated (about 18 months), but I'm super excited to say that the project to translate Nils Aall Barricelli's groundbreaking 1954 paper on computational evolution and artificial life - "Esempi Numerici di Processi di Evoluzione" - is now complete! [1/2]
Sono uscite le nuove lezioni sul Corriere! 1) www.corriere.it/le-lezioni-d... 2) www.corriere.it/le-lezioni-d... 3) www.corriere.it/le-lezioni-d... #physics #philosophy #energy #entropy #information
Each cloud is one root of a 4th degree polynomial, smeared by Gaussian noise on the polynomial's coefficients. The cloud size at root r_k is controlled by κ_k = 1/∏_{j≠k}|r_k−r_j|, it diverges at near-collisions. Background: phase of p(z). Sound on 🔊 #MathArt #NumericalAnalysis
Pseudozeros of polynomials. Made with #python #numpy #matplotlib in a #marimo notebook
p(x) = x(x − r) One root pinned at 0, one orbiting Colors: arg(p(z)) White curves: ε-pseudospectrum, |p(z)| ≤ ε·√(1+ |z|² + |z|⁴) Black cloud: roots of 100k randomly perturbed copies of p. Made with #python #numpy #matplotlib inside a #marimo notebook. #math
In these dark days, when a few men—who believe themselves touched by God (often sexual harassers, empathy-less fanatics, and anti-science figures)—use religion to drag millions into hatred, I can’t help but be reminded of a quote by Steven Weinberg.
A stunning visualization born from a collaboration with @manlius.bsky.social : 55,486 galaxies and 29,555 streamlines tracing how matter flows across our local universe, built on data from the CosmicFlows-4 project. Article in the first reply 👇
Polynomial argument on the complex plane. Made with #python #numpy #matplotlib. @marimo.io notebook on molab👇👇👇👇👇👇👇
A degree-100 polynomial p. Color each point z of the plane by arg(p(z)). The zeros are the points where the full color cycle closes on itself. Let the roots drift, and the colors flow with them. Made with #python #numpy #matplotlib in a @marimo.io notebook.
The complex plane colored by the argument of a polynomial. Each root drifts along a tiny orbit and the color vortices follow: every swirl is a zero. Made with #python #numpy #matplotlib in a @marimo.io notebook.
This paper claims you can define all elementary functions using just two primitive operations: the constant 1, and the binary function eml(x, y) := e^x - log(y). It's probably true but it may need work because it effectively defines i as √-1 ignoring the two choices here. arxiv.org/abs/2603.21852
All elementary functions from a single binary operator
A single two-input gate suffices for all of Boolean logic in digital hardware. No comparable primitive has been known for continuous mathematics: computing elementary functions such as sin, cos, sqrt,...
arxiv.org
Sembra un filmato generato con AI, invece è una breve clip che ho potuto realizzare grazie alle immagini reali ad alta risoluzione pubblicate dalla NASA. Sono foto vere, scattate da un essere umano con una Nikon tra le mani a oltre 400.000 km di distanza dal nostro pianeta. C'è solo da godere.
