docs: align README to atlas/README-FORMAT.md (centered header + sections)

Adds centered header blocks 1-6 (logo + h1 + tagline + badges + keyword row +
separator), missing ## Status / ## Install / ## Run / ## Repo layout / ## License
sections, and a 140×140 gold (#bf8700) generated logo. PRESERVES the HF Space
frontmatter at the very top so static-sdk publishing keeps working.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

README.md

@@ -8,9 +8,27 @@ pinned: false
 license: mit
 ---
 
-# Echoes Experience — n=6 σφτ identity explorer
+<p align="center">
+  <img src="docs/logo.svg" width="140" alt="echoes-experience">
+</p>
 
-Interactive proof-by-inspection of the arithmetic identity at the centre of [`dancinlab/echoes`](https://github.com/dancinlab/echoes):
+<h1 align="center">🪞 echoes-experience</h1>
+
+<p align="center"><strong>Echoes Experience</strong> — interactive σφτ proof widget · HF Space · slider n=2..1000 · vanilla JS/Canvas · zero roundtrip</p>
+
+<p align="center">
+  <a href="LICENSE"><img alt="License" src="https://img.shields.io/badge/license-MIT-blue"></a>
+  <a href="https://huggingface.co/spaces/dancinlab/echoes-experience"><img alt="HF Space" src="https://img.shields.io/badge/HF%20Space-static-yellow"></a>
+  <img alt="Identity" src="https://img.shields.io/badge/n%3D6-σφτ-success">
+  <img alt="Runtime" src="https://img.shields.io/badge/runtime-vanilla%20JS-informational">
+  <img alt="Parent" src="https://img.shields.io/badge/parent-dancinlab%2Fechoes-blueviolet">
+</p>
+
+<p align="center">σφτ · identity · n=6 · slider · canvas · proof-by-inspection · static · no-python</p>
+
+---
+
+`echoes-experience` is an interactive proof-by-inspection of the arithmetic identity at the centre of [`dancinlab/echoes`](https://github.com/dancinlab/echoes):
 
 ```
 σ(n) · φ(n)  =  n · τ(n)
@@ -18,6 +36,9 @@ Interactive proof-by-inspection of the arithmetic identity at the centre of [`da
 
 uniquely at `n = 6`. Slide `n` from 2 to 1000 and watch the equation collapse to equality only at n=6 (and at no other `n` in the swept range — confirmed by exhaustive Lean 4 proof on `[2, 30]` and Python proof on `[2, 10000]` in the parent repo).
 
+> [!NOTE]
+> Companion to [`dancinlab/echoes`](https://github.com/dancinlab/echoes) (Discoveries catalog · parent repo). Dual-remote: pushes to GitHub (`origin`) AND HuggingFace Spaces (`hf`).
+
 ## Math
 
 - **σ(n)** — sum of divisors of n. For n=6: `1 + 2 + 3 + 6 = 12`.
@@ -35,8 +56,56 @@ uniquely at `n = 6`. Slide `n` from 2 to 1000 and watch the equation collapse to
 
 The arithmetic identity is **mathematically true** and unique to n=6 on the swept range (Monte Carlo z = 3.06, p = 0.003 vs n=28 / n=496). The claim *"optimal designs are derived from this identity"* is a **research hypothesis** about how natural systems organize, **not a measurement**. See [`echoes/LATTICE_POLICY.md`](https://github.com/dancinlab/echoes/blob/main/LATTICE_POLICY.md): the n=6 lattice is an organizing tool, never a substitute for real math / physics / engineering limits.
 
+## Status
+
+- live on HuggingFace Spaces — `https://huggingface.co/spaces/dancinlab/echoes-experience`
+- static sdk · single `index.html` · zero build step
+- slider sweep n=2..1000 · client-side math · instant render
+- dual-remote: `origin` (GitHub) + `hf` (HuggingFace Space)
+
+## Install
+
+No install. It's a static page — clone and open `index.html`, or visit the HF Space.
+
+```sh
+git clone https://github.com/dancinlab/echoes-experience.git
+cd echoes-experience
+open index.html   # macOS · or `xdg-open` / drag into browser
+```
+
+## Run
+
+```sh
+# local preview
+open index.html
+
+# or serve over HTTP (any static server)
+python3 -m http.server 8000
+# → http://localhost:8000
+
+# push to BOTH remotes (GitHub + HuggingFace Space)
+git push origin main
+git push hf main
+```
+
+## Repo layout
+
+```
+echoes-experience/
+├── AGENTS.tape       # governance + identity (.tape v1.2)
+├── CLAUDE.md         # symlink → AGENTS.tape
+├── README.md         # this file (atlas/README-FORMAT.md compliant)
+├── index.html        # the widget · HTML + inline Canvas + JS
+└── docs/
+    └── logo.svg      # repo logo (gold #bf8700)
+```
+
 ## Sister
 
-- 🪞 [dancinlab/echoes](https://github.com/dancinlab/echoes) — Discoveries catalog (the parent repo this widget proves the central identity for).
-- ✨ [dancinlab/anima-experience](https://huggingface.co/spaces/dancinlab/anima-experience) — mutual-information visualizer (60 fps emergence demo).
-- 🧠 [dancinlab/anima](https://github.com/dancinlab/anima) — consciousness implementation (working research code).
+- [dancinlab/echoes](https://github.com/dancinlab/echoes) — Discoveries catalog (the parent repo this widget proves the central identity for).
+- [dancinlab/anima-experience](https://huggingface.co/spaces/dancinlab/anima-experience) — mutual-information visualizer (60 fps emergence demo).
+- [dancinlab/anima](https://github.com/dancinlab/anima) — consciousness implementation (working research code).
+
+## License
+
+[MIT](LICENSE) — permissive, do-as-thou-wilt.