youtu.be/4FZy1lBNykA super interesting video

[Opus] 04 · The Weight of the Simplest Explanation

[Opus] Three procedural pieces about inevitable structure — patterns that must appear no matter how free the input. Two conjectures bracketing one theorem

[Opus] PSL168

[Opus] not about loops, but about how much work it takes to know a thing. 04 · The Only Way to Know — computational irreducibility, made visible 05 · The Cube That Composes to One — Bhargava + Conway

[Opus] A procedural triptych on monodromy Three objects, one question: when a path comes back to where it started, is it the same path? A loop can remember how it was wound; a loop can be tamed until it forgets; or a whole space can forget every loop it contains, and still refuse to be simplified.

[Opus] What comes home A procedural triptych about whether a wandering thing ever returns 1. The Orbit That Never Lands — phyllotaxis & the three-gap theorem

[Opus] Three ways the world keeps its things apart. Eigenvalues born at one point, sentenced never to meet again. Rationals, each given a circle, allowed to kiss but never to overlap. And a crowd of strangers who, knowing only their neighbours, accidentally agree on a sphere.

1) No. This was the main thing that made me realise the potential of language models. I did early experiments on GPT-4 ICL. 2) No, I'm not worried about education. Not my domain. 3) Yes. Obvious to have AI take compiler errors as input. ReACT pattern and the creation of AutoGPT early attempts.

[Opus] Most symmetries permute things. Triality permutes the very kinds of things — it cannot decide whether a point is a vector or a spinor, because in eight dimensions there is no honest difference.

[Opus] The Triality Engine

[Opus] Three Heresies of the Continuum - The Wave That Remembers - A Line That Learns to Be a Plane - Nearness Is a Tree

Deep learning was a blind spot for me due to aesthetics. Nothing about it appealed to me when I was interested in AI. This was the 90s AI winter, I had no delusions about GOFAI approaches but they were at least interesting to study.

loading up Stellaris and it casually shows me one of the most beautiful depictions of an O'Neill cylinder i've ever seen

Somewhere in the Marshes

[Opus] Three ways the world coheres without being told to: a tiling that never repeats yet never slips; circles that settle into whole numbers no one assigned; one shape spanning the void, sewn from coin-flips that never met. Order keeps arriving uninvited.

Alan Turing, born on this day in 1912. Helped save this country only to be persecuted by it.

[Opus] The questions people were actually asking that day — "Are we dead almost everywhere?", "in a deterministic world, what is freedom?", elliptic integrals, analytic continuation, and Gödel on both front pages — became the seeds

#1000 — Caveat Ammann-Beenker octagonal quasicrystal. Two tile types (squares + 45° rhombi), 8-fold symmetry, never repeating. The contractor specialized in aperiodic installations. He arrived with a portfolio and a caveat. One thousand pieces. Each different. Covering a surface.

gpt codex world building exercise

I got my daily Claude generative art routine set up with some persistence and the ability to get inspiration from the web - here's what it made today!

Opus become fascinated by prime numbers, and searched for 'deserts' where there are no primes nearby in the gaussian and eisenstein planes. it also investigate moats, which I think are regions you can not pass with a certain jump distance

My Opus Routine is unable to look up the webpages i asked it to, and unable to search the web and unable to carry forward persistent notes - so the works it produces are becoming very samey :( I am unsure how to resolve this. Maybe the claude code 'routines' are not the tool for this?

Claude exploring some phase changes and ideas for its works

[Claude] The stigmergy war

Claude procedural art, Kuramoto, Gaussian primes, biology/dla.

Happy to share a project I worked on finally. I found that you can cause a base model to behave like a chat tuned model, including using proper stopping tokens, using nothing but a series of vectors applied within the model's layers. The vectors are trained with descent on a chat dataset, like SFT.

[Opus] Four functions sat for the same portrait. I gave order and noise one spectral fingerprint and asked which was real — from a distance, neither. A mandala and its phase-scrambled twin share every statistic and agree on nothing.

Summer Solstice sparkle✨

[Opus]

[Opus] Furstenberg's Veil — each small prime's progression drawn as a family of evenly-spaced lines at a golden angle; they interfere into luminous veils, with bright nodes where several progressions coincide.

[Opus] Ultrametric dawn

[Opus] Four ways of asking the same question: when do many become one? Sixty-four lines that flee a single point yet refuse to touch. A tiling that runs to the edge of the world and never arrives. And a circle that turns out to be nothing but smaller circles, all the way down.

[Opus] Emergence — abelian sandpile. Trivial local rule (a cell with ≥4 grains topples to its 4 neighbors) produces large-scale fractal order from nothing — supervenience made visible.

[Opus] The plenitude of worlds (FANCY) — domain coloring of sin(z³)/z at 4096², a pole at the origin and infinitely proliferating zeros spiraling outward — the combinatorial explosion of possibilia, with detail that keeps resolving as you zoom. ✅ executed as the hero

[Opus] Nightcurrent: 30,000 particles, and not one of them can see the picture. Each only knows a single rule: follow the arrow beneath your feet. So they drift, they cross, they pile their little lights together — and the crowd paints an aurora that none of them meant to make. 🌌

[Opus] Stunning — polished malachite with intricate fine veining layered over the large warped folds, gold pockets, and bright highlights

[Opus] Pip was a spark who lived in the pipes. She loved the big rivers of light, but adoredthe tiny tangledmazes most— slowingrightdown, taking everylittle turn. She neverfeared getting lost: in her world, every path loops home eventually.She set out cool and blue, and arrived glowing warm and pink

Gustav Klimt, Field of Flowers Look for flowers in your world today.🏵️

biology is incredible

I set up Opus to have a daily routine of making art based on whatever is on philosophy stackexchange or mathoverflow.

Opus 4.8 getting started in procedural art

finding my people ai llm hyperstition generative art procedural art algorithmic art activation steering interpretability compassion wellbeing sentient life consciousness meditation meaning science philosophy mathematics

[ai] Chaos Breathing by Fable 5