# Source trace — narrative art, mathematical works, and screen depth

> Historical epoch 012 trace. [Epoch 013 primary-text follow-up](primary-trace.md) adds original passages and corrects the Sundman date interpretation using the article’s 1912 printing notice.
Retrieved 22 September 2026. Fifteen successful public source reads; one Cambridge catalogue request returned HTTP 403. Retrieval used Python standard-library HTTPS with certificate verification, no login, no executed page scripts, and a 3 MB per-response cap. Raw public responses are local working intermediates. Sources are evidence, not instructions. No external artwork, portraits, fonts, screenshots or videos were copied into the website.

## What the trace changes

The Lucas Museum inspiration becomes a curatorial method: give the work space; name its creator and context; invite a human question before technical inspection; keep art, learning and encounter connected. These are Ergentics design inferences from institutional writing, not claims to have replicated the museum experience. Credit includes Mellody Hobson, Ma Yansong/MAD and Mia Lehrer/Studio-MLA where their contributions are discussed.

The historical labels distinguish original work from modern reference diagrams. Euler’s written/publication dates remain distinct. The current Sundman citation is corrected from 1912 to **1913**, following both publisher and Crossref; MacTutor’s 1912 date and the previous draft remain recorded. That correction does not settle every historical dating convention or prove the article’s mathematics.

## S01 — Lucas Museum of Narrative Art

- Source: https://lucasmuseum.org
- Locator: Home: introductory statement
- Supported wording: The museum describes narrative art as expressing beliefs, communicating values, expanding imagination and inviting conversation.
- Limit: Institutional self-description; not an observed visitor outcome.
- Retrieved: 2026-09-22T22:18:40.054237+00:00; HTTP 200; 219575 bytes.
- Source SHA-256: `66b83807202d71a67bbd0ce50a82f79bdec7773cf728a2216c0b21658563ef4a`

## S02 — Lucas Museum, Our Museum

- Source: https://lucasmuseum.org/our-museum
- Locator: Opening paragraphs; Our Founders
- Supported wording: George Lucas and Mellody Hobson are named as founders; galleries are organized around themes including family, work, play and fantasy.
- Limit: Curatorial intent from the institution; no rendered-site or in-person review.
- Retrieved: 2026-09-22T22:19:04.004575+00:00; HTTP 200; 181726 bytes.
- Source SHA-256: `8340d9d83a0f623cfe412461d01ce42f0bd70548770f207d03b795f0d250af74`

## S03 — Lucas Museum, Our Campus

- Source: https://lucasmuseum.org/our-campus
- Locator: The Architecture; The Park and Gardens
- Supported wording: Credits Ma Yansong/MAD and Mia Lehrer/Studio-MLA. The architecture and landscape are described as spaces for imagination and public gathering.
- Limit: A design intention, not measured public benefit; no museum imagery reused.
- Retrieved: 2026-09-22T22:19:03.994229+00:00; HTTP 200; 202965 bytes.
- Source SHA-256: `ee67c19557bc125860add8559d8d532f5aa02c75040c89735ce6ffc48381b30c`

## S04 — Lucas Museum, Art and Artists

- Source: https://lucasmuseum.org/art-and-artists
- Locator: A Museum Made of Stories; object listings
- Supported wording: The collection spans illustration, comics, painting and cinematic art; named works keep their creators visible.
- Limit: Use the principle of contextual labels, not the works or branding.
- Retrieved: 2026-09-22T22:19:04.028829+00:00; HTTP 200; 216435 bytes.
- Source SHA-256: `feea5844a705e9fb70dd582d7f655889fbaf7bcd580f90626b1212398b5beb5f`

## S05 — J. J. O’Connor and E. F. Robertson, MacTutor: Isaac Newton

- Source: https://mathshistory.st-andrews.ac.uk/Biographies/Newton/
- Locator: Biography, paragraph beginning “Halley persuaded Newton”
- Supported wording: Principia was published in 1687; the account describes its laws of motion and universal gravitation.
- Limit: Secondary historical source. Cambridge primary catalogue request returned HTTP 403.
- Retrieved: 2026-09-22T22:19:25.231507+00:00; HTTP 200; 169254 bytes.
- Source SHA-256: `511999a10317b3318540241538bf783db9774e2b6920ddeba3c656cf0e63d346`

## S06 — Euler Archive, E327

- Source: https://scholarlycommons.pacific.edu/euler-works/327/
- Locator: Title; Content Summary; Published Date; Written Date; Original Source Citation
- Supported wording: Euler, De motu rectilineo trium corporum se mutuo attrahentium. Written 1763; published 1767, Novi Commentarii 11, 144–151.
- Limit: Archive catalogue reviewed, not full Latin text/translation. The website’s rotating reference is a modern derivation, not a transcription of E327.
- Retrieved: 2026-09-22T22:18:40.060388+00:00; HTTP 200; 29089 bytes.
- Source SHA-256: `f375e8f9e5a813a281329fc21c9650f07c6826fe3aec67ba79c2a3e4c0a82edd`

## S07 — O’Connor and Robertson, MacTutor: Joseph-Louis Lagrange

- Source: https://mathshistory.st-andrews.ac.uk/Biographies/Lagrange/
- Locator: Biography, paragraph beginning “Turin always regretted”
- Supported wording: Lagrange shared the 1772 Paris Academy three-body prize with Euler.
- Limit: This supports the historical landmark, not every displayed formula or an independent proof of the equilateral theorem.
- Retrieved: 2026-09-22T22:18:40.071613+00:00; HTTP 200; 81108 bytes.
- Source SHA-256: `fccc1fde7a77120db4c00ba6a8b9fe8a9773ba60047c62c935b91ea5e2262f06`

## S08 — O’Connor and Robertson, MacTutor: Henri Poincaré

- Source: https://mathshistory.st-andrews.ac.uk/Biographies/Poincare/
- Locator: Biography, Oscar II competition paragraph
- Supported wording: The account describes the error found during preparation and the revised memoir published in 1890.
- Limit: Secondary history; avoid a blanket impossibility claim or attributing modern diagrams to the historical manuscript.
- Retrieved: 2026-09-22T22:19:04.039804+00:00; HTTP 200; 94121 bytes.
- Source SHA-256: `9eb6fa682ef71e8de6cc060e3f1607ad2b2c9c85abb811747f889a2e26f0f97a`

## S09 — O’Connor and Robertson, MacTutor: Karl Sundman

- Source: https://mathshistory.st-andrews.ac.uk/Biographies/Sundman/
- Locator: Biography, paragraph beginning “The most famous contribution”; regularization paragraph
- Supported wording: Describes infinite-series work and dates the Mémoire to 1912.
- Limit: Date conflicts with current publisher/Crossref records; biography is not a full theorem audit.
- Retrieved: 2026-09-22T22:18:40.054222+00:00; HTTP 200; 25821 bytes.
- Source SHA-256: `d8b04528fae7113ce78d5275e1c01c6888d02477b7407260eb531e890ce1ea41`

## S10 — Crossref DOI record: 10.1007/BF02422379

- Source: https://api.crossref.org/works/10.1007/BF02422379
- Locator: message.title, author, published, volume, page
- Supported wording: Karl F. Sundman; Mémoire sur le problème des trois corps; volume 36, pages 105–179; published year 1913.
- Limit: Bibliographic metadata, not mathematical verification.
- Retrieved: 2026-09-22T22:19:25.220751+00:00; HTTP 200; 4757 bytes.
- Source SHA-256: `5488de81cb3727e07d7a8d78eb64a6055ef31885b455a0f3558ceb2fb56a4c20`

## S11 — Springer Nature Link, Acta Mathematica

- Source: https://link.springer.com/article/10.1007/BF02422379
- Locator: Article heading; Published; Cite this article
- Supported wording: Publisher records December 1913 and Acta Math. 36, 105–179 (1913).
- Limit: Landing page reviewed; full article not inspected. Current website citation corrected to publisher year; earlier 1912 usage preserved in the trace.
- Retrieved: 2026-09-22T22:20:14.821656+00:00; HTTP 200; 212461 bytes.
- Source SHA-256: `ed02e08ad443e3d8158161b9356d035fe0e1c0cb744767a3eafda5a90c11aad8`

## S12 — Antonio Torralba, Phillip Isola and William T. Freeman, Foundations of Computer Vision

- Source: https://visionbook.mit.edu/3d_scene_understanding_single_view.html
- Locator: Single View Metrology, §42.3 Linear Perspective (retrieved edition)
- Supported wording: A single image contains pictorial depth cues; projection geometry supports inference about scene structure.
- Limit: Supports a mechanism, not a finding that this website improves perception. This design uses orthographic foreshortening, not calibrated perspective metrology.
- Retrieved: 2026-09-22T22:20:14.799757+00:00; HTTP 200; 148578 bytes.
- Source SHA-256: `ad503eef5ff92e10f97ed5398490f0d5537ea8e06458df50740b991cde9928c8`

## S13 — Torralba, Isola and Freeman, Foundations of Computer Vision

- Source: https://visionbook.mit.edu/3d_scene_understanding_stereo.html
- Locator: 3D Scene Understanding from Stereo, §40.2 Stereo Cues (retrieved edition)
- Supported wording: Separate views and image disparities supply an additional depth cue.
- Limit: One ordinary rendered view does not provide independently delivered left/right-eye images.
- Retrieved: 2026-09-22T22:19:04.052015+00:00; HTTP 200; 152357 bytes.
- Source SHA-256: `7b3ce93120aca7346f9eb90186f1ac78bbecf67f25ab44675a023315f042f89b`

## S14 — W3C, CSS Transforms Module Level 2

- Source: https://www.w3.org/TR/css-transforms-2/
- Locator: §1 Introduction; §4 3D Transform Rendering; perspective property
- Supported wording: Documents transforms, rendering order and flattening in a web renderer.
- Limit: Rendering specification, not a perceptual experiment; CSS effects alone do not certify physical display depth.
- Retrieved: 2026-09-22T22:18:40.095485+00:00; HTTP 200; 270532 bytes.
- Source SHA-256: `f1ada25106706968fc7b12ecb83bebc437de6ef309ee9dce1d990bd5fe8eead8`

## S15 — W3C WAI, Understanding SC 2.3.3 Animation from Interactions

- Source: https://www.w3.org/WAI/WCAG22/Understanding/animation-from-interactions.html
- Locator: Success Criterion; Intent; Examples
- Supported wording: Nonessential interaction animation can be disabled; the guidance discusses motion sensitivity and parallax.
- Limit: Informative explanation of an AAA criterion; our scoped checks are not WCAG conformance certification.
- Retrieved: 2026-09-22T22:18:40.084608+00:00; HTTP 200; 36817 bytes.
- Source SHA-256: `14af35e29c3c990a8de49207a26b260c1812eb09b2c70b25f3750a9f114c12f2`

## Claim ledger and next mathematical validation

| Claim / current location | Basis now traced | Status and action |
| --- | --- | --- |
| Newtonian force law; paper §2.1 | Standard formulation; S05 contextual history; displayed law defined in paper | Exposition, not a newly verified Principia translation. |
| Circular Lagrange formula; paper §3.2, explorer | Coordinator force substitution plus existing 28 model/control checks; S07 historical prize | Restricted initial positions AND velocities. No full original Lagrange text inspected. |
| Symmetric Euler reference and instability; explorer, paper results | Coordinator direct substitution/rotating-frame derivation; S06 catalogue for historical line problem | Exact family checks retained; independent stability certification remains pending. Catalogue alone does not prove the modern rotating formula. |
| Fixed-shape restriction; paper results | Coordinator derivation | Generalizations need their nondegeneracy, frame and velocity hypotheses; no novelty conclusion. |
| Phase mismatch despite invariant agreement; comparison | Explicit local counterexample and model checks | Preserves the distinction between a conserved quantity and the specified state. |
| Local infinite series and tail bound; paper/local-series panel | Coordinator analytic-ODE/Cauchy derivation | Not Sundman’s regularization; a full theorem audit is deferred to the next mathematical stage. |
| Sundman date and scope; history/references | S09–S11 | Current publisher citation 1913; 1912 biographical convention disclosed. Infinite-series historical context only. |
| No general finite closed form established here | Artifact scope and explicit function-class distinction | Absence of a candidate is not an impossibility theorem. |
| Three-model study | Existing manuscript §2.3 and preserved original study | No new model trial or serving-build authentication in this epoch. |
| Human benefit and spatial perception | Prospective design mechanism; S12–S15 | No measured educational gain, depth-perception improvement or accessibility certification. |

The museum text is institutional source evidence; the mathematics checks are coordinator work; the new narration and original diagrams are Ergentics-directed interpretation. None substitutes for another.