Wye → Delta
Every network has a shape. The shape determines who gets hurt when something breaks. Here is why it matters — and what we built instead.
Crossfade from Wye to Delta
Drag the slider: the hub thins out as direct edges take the load — the same crossfade runs quietly while you complete onboarding.
The Wye (star) topology
THE SHAPE MOST SYSTEMS STILL USE
In a star topology, every connection routes through one central hub. The hub owns authentication, truth, and routing. It is also the single point of failure.
When the hub is unavailable — outage, legal injunction, policy change, bureaucratic failure, or hostile actor — every connected node loses access at once. Nodes cannot communicate directly. The network enters a floating neutral state.
For marginalized populations, neurodivergent individuals, and families under legal or financial stress, this is not an inconvenience. It is a threat to safety.
The Delta (K₄ mesh) topology
WHAT P31 BUILDS INSTEAD
A K₄ complete graph has four vertices and six edges. Every vertex connects directly to every other — no hub required. This is isostatic rigidity: the minimum structure that achieves three-dimensional stability without a central brace.
When one vertex or edge fails, the remaining structure routes around it. The open-delta pattern (borrowed from three-phase power practice) is our shorthand for degraded but non-zero operation: enough of the loop remains that coordination, consent, and continuity do not collapse to zero because one path is hot.
~57.7% ≈ 1/√3 — a familiar open-delta capacity figure in electrical work. Here it is a
resilience metaphor, not wiring instructions.
Contributors: same four-vector map lives in docs/SIC-POVM-K4-ARCHITECTURE.md
(P31 home workspace).
The P31 K₄ cage maps to four specific people (will, S.J., W.J., christyn) and four functional sectors (Structure, Connection, Rhythm, Creation). Nested K₄ clusters scale the network outward without degrading local rigidity.
Open delta — grace under missing pieces
DEGRADED MODE IS A FEATURE, NOT AN APOLOGY
In a delta winding, current can still circulate when one branch is open: the triangle closes through the remaining legs. Translating to people and software: if a vendor, a court order, or a caregiver device drops offline, the mesh does not instantly become a pile of isolated endpoints — peers keep a thread of truth at the edge until the missing leg can be repaired or replaced.
P31 encodes that instinct in Workers, KV with short TTLs where appropriate, passkeys on-device, and static fallbacks you can bookmark on paper. The goal is never “five nines for the corporation.” It is survivable minutes for the household when the hub stops answering.
Side by side
| Property | Wye (star) | Delta (K₄ mesh) |
|---|---|---|
| Single point of failure | Yes — the hub | No — open-delta fallback |
| Identity authority | Centralized provider | Device-bound passkey, no server |
| Node-to-node comms | Hub must be online | Direct edge — always available |
| Offline recovery | None | NFC / QR sneakernet, LoRa mesh |
| Bot / Sybil protection | Visual CAPTCHA (excludes neurodivergent) | Turnstile invisible (no puzzle) |
| Auth recovery | SMS OTP (SIM-swap attack surface) | QR / NFC cryptographic fallback |
| Data under legal attack | Hub subpoenaed → all nodes exposed | Edge-local, KV-ephemeral, 5-min TTL challenges |
| Scaling model | Bigger hub — exponential cost | Nested K₄ clusters — local cost stays constant |
| Cognitive load on entry | Seed phrases, wallets, gas | Five-phase ritual, no jargon, biometric only |
| When one leg goes dark | Total service loss until hub returns | Open-delta routing — partial capacity, clear glass on what failed |
| Operator visibility | Black box dashboards | Glass probes + local command center patterns (home repo) |
| Curriculum / practice surface | Ad-hoc PDFs and DMs | Geodesic coach + mesh start pages linked from this hub |
Reconfiguration ladder
Moving from Wye to Delta is incremental. You do not need a whitepaper — you need a sequence that still works when DNS is flaky.
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2
Complete the five-phase onboard
Planetary onboard binds the same ribbon progression to biometric passkey where available.
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3
See the cage + satellites
Connect places the K₄ cage in 3D next to product links.
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4
Practice on the geodesic track
Geodesic turns rigidity into a coached loop (Explorer → Mesh).
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5
Wire the household pack
Family sovereign pack and Mesh start keep bookmarks and dev entry points in one place.
How we onboard you
The transition from Wye to Delta should feel like a quiet sanctuary, not a technical exam. Five phases, each with one primary action. While you move through them, a small topology ribbon crossfades from star to mesh — the same story as on this page, made visible.
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01
The Void
A black screen. Silence. A prompt: "Take a breath. This is a safe space." The entry point matches your nervous system, not our marketing.
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02
The Anchor
A single ³¹P molecule pulses at 0.1 Hz — the resonant rhythm of your baroreceptor reflex. Tap in sync three times. Your heart rate variability stabilizes before we introduce anything technical.
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03
The Rooms
Four glass spheres appear: Structure, Connection, Rhythm, Creation. Drag them into your preferred arrangement. Spatial memory replaces navigation menus.
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04
The Dial
One slider sets how dense your interface feels. Low: larger text, quieter chrome, fewer labels. High: full telemetry. It is yours to adjust anytime.
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05
The Pact
Three plain-language bullets. One button: "Secure my lock." Your device's biometric (fingerprint, face, PIN) creates a passkey — cryptographic identity that lives on your hardware, not our servers. No seed phrase. No password. No SMS.
The transition takes five minutes and one tap of your fingerprint. The mesh you enter is local-first, court-legible, and designed to stay usable when everything else is under stress.