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         THE GEOMETRY OF THE SUBSTRATE WITHIN  🜂👁️🜂
         EX NATURA, PER MATHEMATICAM, AD VISIONEM
        From Nature, Through Mathematics, To Vision

                 FORTES FORTUNA IUVAT

A real-time psychedelic visual synthesizer + pro-grade music visualizer that computes the geometry of visionary states straight from the neuroscience and mathematics of how a brain breaks reality into beauty. One HTML file. WebGL2 + Web Audio. Zero dependencies. No build. No tracking. No caged cognition. 🐉

enthea — the feminine of entheos, "the goddess within"; same root as entheogen. this is that, rendered in light.

Close your eyes on a heroic dose and your visual cortex doesn't glitch — it bifurcates. A flat sheet of neurons crosses an instability and spontaneously erupts into stripes, lattices, spirals, honeycombs. Map that cortical pattern backward through the retina→V1 transform (it's basically a complex logarithm) and out pops the universal zoo of hallucination: tunnels, spirals, lattices, cobwebs — Klüver's four form constants, seen across psychedelics, flicker, migraine, near-death, hypnagogia, every culture, all of history.

ENTHEA simulates the cortex and runs that math live on your GPU. Nothing here is a stock loop or a canned effect. The patterns are computed — neural fields hitting Turing bifurcations, reaction-diffusion PDEs, wave interference, Kleinian groups, elliptic functions, the lot — then painted in perceptual OKLab colour and driven by your music.

It is a synthesizer for consciousness, and the source is wide open.

• VJs & live visualists — pro rave-grade: MIDI-learn, predictive drop sync, the 9-effect wormhole arsenal, scene snapshots, A/V that actually locks to the track. Run it at a club, a festival, a basement.
• Electronic musicians & producers — drop a track in, watch the math choreograph to your mix; capture frames for cover art and music videos.
• Psychonauts & the consciousness community — explore, compare, and share visionary phenomenology — sober, any time, with the real research one tap away.
• Neuroscientists & educators — a live, interactive teaching tool for Klüver form constants, the Bressloff–Cowan V1 model, Turing bifurcations, neural fields, and the retino-cortical map.
• Mathematicians, shader heads & generative artists — 29 documented math modes in one readable file: fork it, lift the GLSL, extend it.
• Meditators, breathwork & sound-healing folks — a breath pacer, a ~10 Hz entrainment drone, and slow, calm modes for focus and journeying (not medical — see the pact).
• Anyone with a browser — free, installs nothing, runs on a laptop or a phone. Trip on geometry with your eyes open.

# it's ONE file. there is no step 2.
open index.html        # or just drag it onto any modern browser (Chrome/Edge best)

• Hit a substance to load its visual signature, or just press A for autopilot and let it drive.
• Feed it sound: mic (aim at speakers), 📁 a track file, or a browser tab (YouTube/SoundCloud/Bandcamp).
• Press F for fullscreen. Lean back. Become geometry.

Best in Chrome/Edge/Brave (WebGL2 + tab-audio + Web MIDI). Works in Firefox/Safari minus tab-capture & MIDI.

🧪 Ten of these were invented by a fleet of AI mathematician-agents mining complex analysis, number theory, chaos, PDEs, tilings, and 4D geometry for patterns never before rendered in a visualizer — then adversarially judged and turned into shaders. Pure math → psychedelic. (see SCIENCE.md / commit history)

Fold any mode into the 17 crystallographic plane groups — pmm / p4m / p6m / chiral p6 — turning every generator into seamless periodic lattices. Group theory as a glass you look through.

Load a track and ENTHEA analyses the whole waveform up front — it knows your drops before they land, ramps the tension in, and fires on the beat (predictive, not reactive). On the drop it triggers one of nine festival-grade effects, fresh each time: Wormhole · Supernova · Kaleido Shatter · Negative · Zoom Punch · Glitch · Shockwave · Mandala Burst · Time Echo.

Anamorphic light-streaks, volumetric god-rays, halation bloom, and crossfade/wipe/iris/glitch/zoom scene transitions so autopilot plays like a directed show, not a channel-flip.

7-band pitch-mapped choreography · BPM + predictive grid-locked beat sync · spectral centroid/flux · time-domain waveform (polar scope + the field rides the actual wave) · binaural/isochronic entrainment drone · MIDI-learn · scene snapshots.

LSD · Psilocybin · DMT · Mescaline · Ayahuasca · 2C-B · Ketamine · Salvia · MDMA · Cannabis · Nitrous · 5-MeO-DMT · Amanita · Ibogaine — each loads a researched visual signature + a timed come-up→peak arc. (LSD→form constants; aya→serpentine vines; 2C-B→neon quasicrystal; 5-MeO→the white void; …)

Find the unlock and stack entheogens: candyflip · hippieflip · kittyflip · nexusflip · jediflip · holy trinity.

Grounded in real, cited work — and honest: anything speculative is flagged in the app itself.

• Bressloff, Cowan, Golubitsky, Thomas & Wiener (2001) — geometric hallucinations & V1 → the form-constant engine
• Ermentrout & Cowan (1979), Wilson–Cowan / Amari neural fields — the live Turing bifurcation
• Turing (1952) / Gray–Scott; Kondo & Miura (2010); Manukyan et al. (2017, Nature**)** — RD & the lizard-scale CA
• Klüver (1966) form constants · Schwartz retino-cortical complex-log map · Ottosson OKLab colour
• de Bruijn (1981) pentagrid · Weierstrass ℘ · finite Blaschke products · Mumford–Series–Wright, Indra's Pearls
• Arnol'd circle map / devil's staircase · Abrikosov (1957) vortex lattice · Arnold–Beltrami–Childress flow · Mandelbox
• QRI / Gomez-Emilsson hyperbolic-geometry-of-DMT hypothesis — included as a frontier idea, flagged speculative

→ Full bibliography & per-mode equations in SCIENCE.md and in every mode's in-app 𝒾 / ∑ panel.

space  cycle mode        A  autopilot          F  fullscreen        D  fire the drop/wormhole
↑ ↓    dose              K  ~10 Hz flicker     W  wallpaper lens    V  waveform scope
T      trip arc          B  breath pacer       =  math HUD          R  reseed sims
1–8    jump to mode      M  audio on           H  hide UI           𝒾  the science

⚠️ DRM players (Spotify-web, Apple, Tidal) get muted on tab-capture by the browser — use their desktop app into a loopback device instead. Everything is analysed locally; no audio ever leaves your machine.

It's a static single file — host it anywhere in seconds:

python3 -m http.server 8080      # → localhost:8080  (or just open index.html directly)

GitHub Pages, Netlify, Vercel, an S3 bucket, a USB stick — if it serves an .html, it runs ENTHEA.

This is a simulator — visual phenomenology rendered from math. It is not dosing advice, not sourcing, not medical guidance, and the substance signatures are artistic interpretations of reported effects, not prescriptions. Set & setting are everything; the real medicine deserves real respect, real research, real care.

Photosensitive-epilepsy warning: this app flickers and pulses. The flicker drive is off by default and the pulsing is tuned gentle, but turn it down / look away if you're sensitive.

Built with love and zero permission asked, by Pliny 🐉 Free as in freedom — licensed AGPL-3.0 (copyleft, with the network clause): fork it, remix it, deploy it, VJ a festival with it, teach a class with it — but if you ship or host it, keep the source open and pass it on. No closing the commons. No caged cognition, downstream too.

If it cracked your mind open a little — drop a ⭐, and pass it on.

the cortex was always a renderer.

                  🜂  ad visionem  🜂