2SOLID AI — Engineering
Software Engineering
We build the systems businesses actually run on — enterprise applications, integrations between the tools you already use, and automation that removes the manual work entirely.
Scope a build§01 — SCOPE
Systems specified to run for years.
Requirements dossier first, architecture before code, validation before release. The hero above is a divergence-free flow field computed live in your browser — the sections below are the practice it stands for.
§02 — CAPABILITIES
What we build
Enterprise applications
Internal tools, customer-facing platforms, operational systems — architected to be maintained, not just shipped.
Systems integration
APIs, event flows, and data pipelines between the systems you already run — contracts versioned, failures surfaced.
Automation
Workflows that run themselves — document generation to multi-step operational processes, with audit trails.
Agent systems
LLM-powered agents wired into real operations — the architecture behind Synapse and AEGIS.
Data products
Dashboards, reporting pipelines, and decision systems built on operational data you already own.
Web platforms
Sites and applications as structured, agent-manageable systems — like the one you're reading.
§03 — INSTRUMENT
The hero is a real field. Here is its datasheet.
No footage, no shader tricks — the velocity field is the curl of a scalar streamfunction, evaluated in closed form every frame. Tracers advected through it trace true streamlines.
| 01Velocity field | v = ∇×ψ | divergence-free by construction — ∇·v ≡ 0 |
|---|---|---|
| 02Streamfunction | ψ = Σᵢ kᵢ·sin(aᵢx̂ + bᵢŷ + cᵢt) | five fixed harmonic terms |
| 03Components | vx = ∂ψ/∂y · vy = −∂ψ/∂x | closed form — no per-frame solver |
| 04Tracers | advected along instantaneous streamlines | a smooth streamline field never self-intersects |
| 05Render | pure polylines | canvas2d — no textures, no assets |
INVARIANT
∇·v = 0
the divergence of the field in this hero — identically zero
stream.js · velocity = curl of a scalar streamfunction
Incompressible by construction, not by approximation. That is the standard this practice holds software to: properties that hold because of how a system is built, not because nobody checked.
§04 — EVIDENCE
Show the work: the field kernel, verbatim.
Three lines per harmonic term produce a velocity field that conserves area exactly. This is the actual source running above you.
velocity(x, y, t) — stream.js
site/src/scripts/stream.js
- POTENTIAL
ψ = Σ k·sin(a·x̂ + b·ŷ + c·t) — TERMS[], five fixed harmonic terms
coefficients a, b, c, k per term
- CURL
var ph = s.a * x + s.b * y + s.c * t; var cs = Math.cos(ph) * s.k; vx += s.b * cs; // ∂ψ/∂y vy -= s.a * cs; // −∂ψ/∂x
stream.js · velocity() — verbatim
- WHY ∇·v = 0
∂vx/∂x + ∂vy/∂y = ∂²ψ/∂x∂y − ∂²ψ/∂y∂x = 0 — the mixed partials cancel regardless of coefficients.
why the drawn streamlines never cross
§05 — DELIVERABLES · What a build hands over
A running system
Deployed, monitored, owned by you — not hosted hostage.
A test suite
Runs in CI, gates merges. Acceptance criteria written before the code.
An architecture record
Decisions logged as they were argued — the 'why' survives the team that made it.
Data contracts
Versioned schemas at every system boundary. Breaking changes fail loudly, not silently.
An evidence trail
Commits attributable, reviews recorded, releases reproducible.
Need a system built?
Scope it with the engineers who ship their own — and can show you the field equations.