# Seven views of the same activity. The Geometry Atlas keeps work, owners, change, qualified context, computing participants, experience and new capabilities in one picture while preserving their distinct relations. Visitor question: How can I see the relationships without mistaking the cases for separate products? Genre: reference. Website explanation · Updated 2026-10-02. ## One activity, several independent concerns The Geometry Atlas preserves seven ways of looking at the same activity. They are not seven products, seven subsystems or a newly invented runtime taxonomy. Each view distinguishes the relation crossing an edge: data, derivation, execution or permission. That distinction matters more than a diagram's order or colour. The original numbering and scopes below come from the published GEO-1…GEO-7 texts. Their cases are separate records. The overview is a conceptual map, not a recorded composite execution or a global owner. This Geometry Atlas is distinct from the [Incident-to-Proof Atlas](/research/incident-atlas/), which contains twenty finite case cards.

GEO-1 — Intent becomes bounded, consuming Work

A checked semantic proposal becomes runtime-owned topology. Bounded child Work returns typed material which the parent consumes through exact field bindings. **Source scope:** Conceptual view; local intake and route acceptance precede composition. [Read the exact GEO-1 source](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-1.md). [Wedding W3](/demonstrations/wedding/#semantic-changes) supplies a concrete semantic-input route. [Growth](/understand/growth/#keep-one-child-result-and-recompute-another) follows the current child/parent bindings. The source does not demonstrate a universal planner or arbitrary child-memory search.

GEO-2 — Independent owners retain their own decisions

Released evidence can inform another owner without carrying the first owner’s authority. An effect uses a separate current packet, Host/Firewall enforcement and bounded executor. **Source scope:** Conceptual pattern with a recorded Football inset. [Read the exact GEO-2 source](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-2.md). [Football](/demonstrations/football/) separates VenueRoot and ActivePlanetRoot. [Airline](/demonstrations/airline/) separately has ClientRoot, AirlineRoot and BankRoot. Neither is a single business SuperRoot.

GEO-3 — Useful work can outlive a changed resource

Resource lifetime, result lifetime and action permission have separate boundaries. A fresh observation can guide changed Work while a useful unaffected result remains retained. **Source scope:** Recorded EWS3R2 principal lane. [Read the exact GEO-3 source](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-3.md). [Workspace](/demonstrations/workspace/) records audio return code −9, media frames 4→16 and retained photo producer count 3. Save review precedes a 250-byte sidecar; the receipt does not command cleanup. Historical EWS3 memory is a separate lane.

GEO-4 — Qualified context reaches Work; refusal stops

E is the producer’s value inside released body B; B becomes material inside locally qualified context C. Body and authenticated STATUS checks separate usable input from a refused branch. **Source scope:** Recorded Football relations. [Read the exact GEO-4 source](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-4.md). [Football](/demonstrations/football/) consumes the offer field only through valid C. [External DRS](/demonstrations/external-drs/) explains the bounded exchange and current-use checks. REVOKED or invalid material stops before consumption; booking remains separately authorised.

GEO-5 — Different computations share checked consumption

Captured semantics, local compilation, remote measurements, decoding and original-condition checking contribute different material. Native Work consumes the checked result; saving has its own review. **Source scope:** Recorded W4 revision 1, with a separate Workspace inset. [Read the exact GEO-5 source](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-5.md). [Wedding quantum](/demonstrations/wedding/#quantum) uses a ten-qubit encoding on Rigetti; the 36-indicator QUBO is a different representation. W3 classical search and SR2 are distinct records. [Workspace](/demonstrations/workspace/) shows the separate local-service relation. Captured meaning is no permission for a QPU request.

GEO-6 — Recorded experience changes finite expenditure

Source-bound outcomes are folded into qualified history. Current descent supplies advisory values to finite pressure and integer allocation, which actual Work consumes. **Source scope:** Recorded G3/G4 mechanisms; eligibility and current Root descent precede advisory use. [Read the exact GEO-6 source](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-6.md). [Experience](/demonstrations/experience/) reallocates seven inspection units from 4/3 to 3/4 within budget nine: one spent + one reserved + seven allocated. N4-04 is a separate 1→0 domain-call witness with current reads and reviews. [Incident Atlas](/research/incident-atlas/#five-consumers-change-the-next-work) provides five other consumers.

GEO-7 — Creating a component does not grant its authority

HOW describes interfaces and WHAT supplies a task. An external author returns candidate bytes for independent examination and owner source admission. Later Work still needs current inputs and decisions. **Source scope:** Conceptual creation/admission view with separately identified authoring history. [Read the exact GEO-7 source](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-7.md). [Football authorship](/build/football-authorship/) distinguishes incomplete G54B1/G54D from the explicitly authorised correction 4 accepted as G54D1. [Growth](/understand/growth/#no-implementation-exists-author-it-and-admit-it) separates writing new code from retrieving an existing pure capability. An audit packet is not the authoring kit. ## Follow a relation back to a case [One kernel](/understand/one-kernel/) connects eight plain-language relations to concrete cases. [Growth](/understand/growth/) opens composition and capability acquisition in more detail. Together with the original Geometry sources, these routes let a reader move from a broad picture to actual returned fields, recorded consumers and declared evidence scope. A conceptual edge proposes how to understand a relation. A recorded edge needs a source result and consumer. Neither illustration nor publication creates new runtime authority, and the website does not perform the historical experiments again. ## Sources and scope - [Geometry Atlas overview](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/OVERVIEW.md) — publication explanation; ref `800f38c3407b3f4ec93dc943c977ffeecb614881`; path `docs/showcase/radiolaria_os_v01/atlas/OVERVIEW.md`. Source date: 2026-09-29. Access: HTTP_200; text read; checked 2026-10-02. - [GEO-1: original scope and relations](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-1.md) — publication conceptual or recorded view; ref `800f38c3407b3f4ec93dc943c977ffeecb614881`; path `docs/showcase/radiolaria_os_v01/atlas/GEO-1.md`. Source date: publication snapshot 2026-09-29. Access: Read-only local Git object; selected source passages inspected; anonymous HTTP not checked by this source-reading pass; checked 2026-10-02. - [GEO-2: original scope and relations](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-2.md) — publication conceptual or recorded view; ref `800f38c3407b3f4ec93dc943c977ffeecb614881`; path `docs/showcase/radiolaria_os_v01/atlas/GEO-2.md`. Source date: publication snapshot 2026-09-29. Access: Read-only local Git object; selected source passages inspected; anonymous HTTP not checked by this source-reading pass; checked 2026-10-02. - [GEO-3: original scope and relations](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-3.md) — publication conceptual or recorded view; ref `800f38c3407b3f4ec93dc943c977ffeecb614881`; path `docs/showcase/radiolaria_os_v01/atlas/GEO-3.md`. Source date: publication snapshot 2026-09-29. Access: Read-only local Git object; selected source passages inspected; anonymous HTTP not checked by this source-reading pass; checked 2026-10-02. - [GEO-4: original scope and relations](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-4.md) — publication conceptual or recorded view; ref `800f38c3407b3f4ec93dc943c977ffeecb614881`; path `docs/showcase/radiolaria_os_v01/atlas/GEO-4.md`. Source date: publication snapshot 2026-09-29. Access: Read-only local Git object; selected source passages inspected; anonymous HTTP not checked by this source-reading pass; checked 2026-10-02. - [GEO-5: original scope and relations](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-5.md) — publication conceptual or recorded view; ref `800f38c3407b3f4ec93dc943c977ffeecb614881`; path `docs/showcase/radiolaria_os_v01/atlas/GEO-5.md`. Source date: publication snapshot 2026-09-29. Access: Read-only local Git object; selected source passages inspected; anonymous HTTP not checked by this source-reading pass; checked 2026-10-02. - [GEO-6: original scope and relations](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-6.md) — publication conceptual or recorded view; ref `800f38c3407b3f4ec93dc943c977ffeecb614881`; path `docs/showcase/radiolaria_os_v01/atlas/GEO-6.md`. Source date: publication snapshot 2026-09-29. Access: Read-only local Git object; selected source passages inspected; anonymous HTTP not checked by this source-reading pass; checked 2026-10-02. - [GEO-7: original scope and relations](https://github.com/AAkhtanin/hedgehog-os/blob/800f38c3407b3f4ec93dc943c977ffeecb614881/docs/showcase/radiolaria_os_v01/atlas/GEO-7.md) — publication conceptual or recorded view; ref `800f38c3407b3f4ec93dc943c977ffeecb614881`; path `docs/showcase/radiolaria_os_v01/atlas/GEO-7.md`. Source date: publication snapshot 2026-09-29. Access: Read-only local Git object; selected source passages inspected; anonymous HTTP not checked by this source-reading pass; checked 2026-10-02. This page is a website explanation, updated 2026-10-02. Its explanation does not create a new execution result or change the status of its sources. ## Continue reading - [Different demonstrations. One execution model.](/understand/one-kernel/) - [The task shapes the work.](/understand/growth/) - [A refusal is only half the test.](/research/incident-atlas/) - [Different tasks. A common organisation of work.](/demonstrations/)