小羊驼杂记 retweeted
Nine more lessons from my 3D book about energy, now covering the whole GCSE energy topic: kinetic, gravitational and elastic energy, heating, power, efficiency, energy resources and conservation of energy.
Built with Opus 5.5 and Three.js. The full book ↓
小羊驼杂记 retweeted
Happy to announce I built a Greek/English reader site with all the surviving plays of Aeschylus, Sophocles, Euripides, & Aristophanes.
Multiple translations for each play; click to parse & define for any Greek word; full Greek & English search.
greekdrama.johnhboyer.com
小羊驼杂记 retweeted
Primes look random until you start watching them closely.
The sieve doesn’t just remove composites. It leaves a residue pattern that keeps repeating at every scale, even as the numbers get larger.
By the time you reach a few hundred, the gaps between primes are already bigger than the early ones, yet the density still follows the same slow decline predicted by the prime number theorem.
π(x) grows roughly like x / ln x. The formula doesn’t tell you where the next prime is, but it does tell you that the gaps cannot stay small forever.
The same process that produces twin primes also produces long stretches with nothing. Both behaviors come from the same underlying distribution.
Most of the interesting structure sits in the tension between these two facts: primes become rarer, but they never quite disappear.
Everything else > the spiral, the residues, the occasional large gaps > is just a visible trace of that tension.
小羊驼杂记 retweeted
The 7 biggest paradoxes of reading:
1) A book can change your life, yet you'll forget 99% of it a year later.
2) Reading fiction can be more educational than non-fiction.
3) The most valuable books aren't new books, they're books you've already read.
4) The more books you read, the dumber you'll feel because you'll realize how little you actually know.
5) The best readers are quitters, they quit bad books to make room for better ones.
6) School rewards the memorization of books, but life rewards the application of books.
7) Books don't change, but if you reread a book years later, you will discover completely new lessons from it.
Opus 5.5 + /anatomy skill is insane for motion animation
• Interactive isometric wireframes you can rotate, inspect and explore
• WebGL shaders for fire, water, plasma and more
• Real 3D motion, with individual parts that rotate
send to Claude:
skills.wheresryan.sh/anatomy
小羊驼杂记 retweeted
The French mathematician Jean-Pierre Serre, an emeritus professor at the Collège de France in Paris — who has won two of math’s top prizes, the Fields Medal and the Abel Prize, and celebrated his 100th birthday last month — was naturally attracted to finding No. 46 in OpenAI’s list, which solves positively a conjecture he made almost 70 years ago.
But Dr. Serre is conflicted about doing math with A.I. He uses the technology for things like references, and, with the help of friends, for chasing down hunches about errors.
“Mathematicians take pleasure in doing maths in two different ways: learning and finding new things,” Dr. Serre said. “Hence a conflict: A.I. increases the first pleasure and lowers the second one. The problem is it may lower the pleasure too much; that is especially serious for young mathematicians.”
I think that last sentence from Serre nails it.
‘Breathtaking,’ ‘Devastating’: Mathematics Reels After New OpenAI Release - The New York Times
nytimes.com/2026/10/08/scien…




























