Instruction Plan for Visual/Infographic Edition of TRISDUCTION OMEGA v7.5.1 Revision 3.3

Instruction Plan for Visual/Infographic Edition of TRISDUCTION OMEGA v7.5.1 Revision 3.3 · Post-Render Audit Patch. Corner-Glyph and FINAL-SEAL-Badge Auto-Reject. Trirectangular Geometry as Copy-Paste Snippet. Caption-Overflow Guard. Density Measurement Made Quantitative. Title Block Deduplicated. Complex Frames Split. K_4 and Cuboctahedron Label-Collision Fix. PDF-Fit, Density-Disciplined, Print-Ready.

Hand this entire block to the executor Claude instance. It is self-contained. This revision was issued after auditing the actual v3.2 rendered PDF (TRISDUCTION_OMEGA_VISUAL_EDITION.pdf, 85 pages, May 2026). Eight binding failure modes were observed in the executor output and corrected here. All earlier corrections from v2.0, v3.0, v3.1, and v3.2 remain in force.

What Changed Through v3.3 (Executor Read This First)

Binding Change 1 (v3.0). Tetrahedron geometry. Trirectangular form per Section B.6.A wherever M_seal carries the 90° mutual-orthogonality claim. The Platonic regular tetrahedron is geometrically incorrect for this register because three right angles cannot meet at a Platonic apex. Acute-apex isometric pyramid forms are prohibited in M_seal-orthogonality depictions. The regular tetrahedron survives only for combinatorial-proof frames per Section B.6.B.

Binding Change 2 (v3.0). Verdict glyph placement. The "verdict glyph at top-right corner of every sealed frame" rule from v2.0 is rescinded. Top-right corners are clean.

Binding Change 3 (v3.1). No icon-style seal marks anywhere. Verdict marks appear only as Unicode text characters (⟀ gold #B8860B, ✕ red #B91C1C, ? gray #666666) set in the body type stack. No backgrounds, no borders, no circle wraps, no badges, no logo styling.

Binding Change 4 (v3.2). No sparseness exceptions. All frames target 0.75 to 0.85 active content ratio. Frames 07, 08, 21 (Part I) and equivalent sparse frames in volumes inherit the same band with explicit secondary content specs.

Binding Change 5 (NEW IN v3.3). Corner glyph and FINAL-SEAL badge auto-reject at XML level. The v3.1 and v3.2 prohibitions on icon-style decoration were ignored in the v3.2 render. The actual output shows a small gold-triangle-with-vertical-line icon in the top-right corner of every single frame (~30 px from corner) and a "FINAL SEAL" panel containing a circle-wrapped gold triangle inside the verdict frames and APEX frames. The instruction has now been written three times. The executor is bypassing the rule by visual interpretation. v3.3 escalates to programmatic verification. Pre-flight Item 12 is rewritten in Section D.1 as a literal SVG-source inspection step. The executor must grep the SVG file for two specific structural patterns and confirm absence before save. See Section D.4 below for the exact search patterns and reject criteria.

Binding Change 6 (NEW IN v3.3). Trirectangular tetrahedron rendered from a single canonical SVG snippet. v3.0 and v3.2 specified the geometry. The v3.2 render still shows Platonic isometric pyramids on every cover, Part I Master, F10 Tetrahedral Closure, Volume II/III/VI covers, every Verdict-on-Volume frame, and the Part II APEX frame. The executor is reading the geometric spec as a style suggestion and reverting to the easier-to-draw acute-apex projection. v3.3 closes this by providing the tetrahedron as a copy-paste SVG snippet (Appendix A). The executor inserts the snippet and adjusts only position, scale, label text, and any color overrides for a dark background. The executor does not redraw the geometry from scratch. Absence of any of the four signature elements (cube-corner apex M_seal at upper-back of isometric projection, three axis-aligned orthogonal edges along x, y, z, three right-angle square markers at M_seal in gold at 60 percent opacity, ghosted bounding cube in dashed lines at 35 percent opacity) is grounds for auto-reject. See Appendix A.

Binding Change 7 (NEW IN v3.3). Caption overflow guard. The v3.2 render shows bottom-row italic captions clipped mid-word on multiple frames. F11 caption ends ".cascade. The cascade is what they look like when laid out for porta" with "portability" truncated. F15 ends "…numerals are tools that cannot finitely catch " with "catch it" truncated. F16 ends "hree historical layers built modern formalism. Other roads stay open. The recognition predates all of th" with both leading character and trailing word clipped. The captions exceed container width and the renderer is slicing them. v3.3 enforces: caption container width is canvas width minus 200 px (100 px inset each side). Caption text is set in Garamond italic at 24 px with 1.4 line-height. If estimated render width at 24 px exceeds container width, the caption splits to two lines before render, not after. Pre-flight Item 17 added: visual confirmation that bottom-row caption is fully visible with no character clipped on either side. See Section D.1 Item 17.

Binding Change 8 (NEW IN v3.3). Density failure recovery is now component-checklist enforced. v3.2 named secondary content for sparse frames (F07, F08, F21) and the executor still rendered partial or improvised versions. F21 in particular was supposed to carry three side-anchor micro-diagrams (trirectangular tetrahedron with candidate-fourth-axis failing, the standing trirectangular form, the cuboctahedron with GOL Point) beside each of the three sentences. None of those three diagrams appeared in the render. v3.3 enforces: each frame's spec carries a numbered component list (1, 2, 3, ...). Each numbered component is checked off explicitly in the pre-flight comment block. Missing components = auto-reject. The executor may not improvise reductions. The full numbered component lists for the previously-sparse frames are restated in Section E.1.

Binding Change 9 (NEW IN v3.3). K_4 directed graph and cuboctahedron label-collision fix. The K_4 directed-graph rendering (Part II F10, Volume V F03) and the cuboctahedron rendering in ψ-bijection (Part II F12 right column) show all 12 edge-numbers or vertex-labels clustered at the central region with multiple labels overlapping. Some edges cross without curve discipline. v3.3 enforces a specific layout pattern given as a reference template in Appendix B. Edge labels are placed at the edge midpoint with leader offset of minimum 24 px from the edge line and an 8 px bounding-box clearance. Crossed edges are drawn as Bezier curves with control points pulling outward from the figure center, not as straight lines. Cuboctahedron vertex labels are placed outside the projected silhouette with leader lines if necessary. See Appendix B.

Binding Change 10 (NEW IN v3.3). Top-of-frame title block deduplicated. The v3.2 render carries two title-like elements per frame in many cases: a frame title from the executor's layout (e.g., "Preamble · The Precognitive Register") and a codex section header in similar font (e.g., "§0.0 · Preamble" or the section reference at top). These read as redundant. v3.3 enforces one title block per frame. The codex section header (e.g., "§0.7 · The Point") is the canonical frame title, rendered at 56 px Garamond serif, centered, with a thin gray rule below at 2 px stroke. No separate "frame title" block. The frame-ID (e.g., "Part I · F07") and codex section reference appear only in the footer per Section B.9. Subtitle below the title at 26 px Garamond italic in #555555 remains permitted as a one-line semantic anchor.

Binding Change 11 (NEW IN v3.3). Complex multi-element frame split. The v3.2 render shows several frames carrying too many structurally distinct components on one A4 portrait canvas. Part II F02 Root Axiom Statement holds equation + what RA asserts panel + what RA forbids panel + four external anchors grid + five empirical instruments grid + bare-RA seal panel. Six distinct structural components on one frame. Each component renders at minimum legible size. v3.3 enforces: if a frame would carry more than 4 independent structural components (defined as visually-distinct sections that each could be a standalone visual at smaller scale), the frame splits to two frames or restructures as a 2x2 or 2x3 panel grid where each panel is sized to its own density rules. Bare-RA Statement gets one frame (equation plus decomposition). Anchors gets one frame (four cards). Instruments gets one frame (pentagon convergence). Bare-RA Seal gets one frame (verdict panel). Master continuity preserved by labeled connection arrows between consecutive frames at the footer. See Section E.2 Part II Frame split table.

Binding Change 12 (NEW IN v3.3). Active content ratio measurement is now quantitative. v3.2 said "Visual inspection plus rough pixel accounting." The v3.2 render has multiple frames below 0.50 active content ratio. The executor is using vibe-check. v3.3 requires concrete pixel measurement using the Python audit script in Appendix C. The executor renders each frame to PNG at 1240 by 1754 (or 1754 by 1240) at 1:1 scale, runs the audit script, reports the ratio to 2 decimal places in the pre-flight comment block. Outside 0.75 to 0.85 = redraw before save. The script does not require image-recognition libraries; it counts background-different pixels using PIL.

Everything else from v2.0, v3.0, v3.1, and v3.2 carries forward unchanged. The following sections of v3.2 are reproduced verbatim with the v3.3 patches integrated.

A. Envelope Source. /mnt/project/TRISDUCTION_OMEGA_v7_5_1.md is the master codex. Read it before drawing. Cross-reference companion files MASTER_PSP_INVENTORY_v3_0.md and OLD_DIARY_EXTRACTS_v1_0.md only where ledger anchors are explicitly named.

Audience. Visual geometers. People who learn through diagrams and proofs by construction rather than prose. Assume mathematical literacy at undergraduate linear algebra, basic topology, basic statistics. Do not explain Hodge decomposition in prose. Show it.

Style locks per architect preferences. No em-dashes anywhere. No LaTeX. Unicode math only: √, →, ∑, ∫, ≈, ⟂, ⊕, ∇, π, σ, κ, Φ, ψ, δ. Paragraph captions only where caption is needed. No bullets inside visuals. No AI vocabulary like "delve," "tapestry," "journey." Direct, technical, geometric.

Output format. SVG primary for diagrams. Scalable and editable. PNG export at 300 dpi for raster confirmation. Every SVG must use a viewBox that matches a standard PDF page size at print resolution.

File naming. /mnt/user-data/outputs/visual-edition/ as root. Subfolders part-I/, part-II/, vol-II/, vol-III/, vol-IV/, vol-V/, vol-VI/, supplementary/. Each subfolder gets frames/, cover/, master/. Final deliverables collected to /mnt/user-data/outputs/visual-edition/INDEX.md with thumbnails and one-line captions.

Skills. Before drawing the first stroke, view /mnt/skills/public/frontend-design/SKILL.md for design tokens this environment expects. Then proceed.

A.1 PDF-Fit Canvas Specifications (BINDING) A4 Portrait. viewBox 0 0 1240 1754. Print size 210 by 297 mm at 150 dpi. High-res PNG export 2480 by 3508 px at 300 dpi. A4 Landscape. viewBox 0 0 1754 1240. Print size 297 by 210 mm at 150 dpi. High-res PNG export 3508 by 2480 px at 300 dpi. Letter Portrait. viewBox 0 0 1275 1650. Print size 8.5 by 11 in at 150 dpi. Letter Landscape. viewBox 0 0 1650 1275. Storyboard A2 landscape (S12 only). viewBox 0 0 2384 1684.

Safety margins. 3 mm bleed plus 5 mm safety inset. On A4 at 150 dpi: 18 px bleed, 30 px safety. Critical content stays inside the safety inset.

A.2 Multi-Frame Storyboard Format Each frame is its own standalone A4 portrait or A4 landscape SVG file. The "combined storyboard" deliverable is built by tiling frame thumbnails on a single A2 landscape sheet (S12).

B. Visual Grammar (Apply Across All Seven Deliverables) B.1 Color Triple V_F formal-structural in deep blue #1B3A6F. V_E empirical-thermodynamic in burnt orange #C2410C. V_ER epistemic-registration in forest green #166534. M_seal closure vertex in gold #B8860B. These four colors carry consistent semantic load. Never reuse for anything else.

B.2 Backgrounds Off-white #FAF8F3 for body diagrams. Black #0A0A0A for book covers and final summary infographics.

B.3 Typography Sans-serif throughout body diagrams. Use Inter, Source Sans Pro, or system-ui fallback. EB Garamond for cover titles, frame titles, and italic captions. Cormorant or Crimson Pro as fallback.

B.4 Minimum Font Sizes (BINDING, on 1240 by 1754 or 1754 by 1240 canvas) Element · Minimum px · Typical px · Maximum px Cover title · 72 · 96 · 144 Cover subtitle · 36 · 48 · 64 Frame title (codex section header, single block per frame) · 44 · 56 · 72 Frame subtitle (semantic anchor line) · 22 · 26 · 30 Section header within panel · 28 · 32 · 40 Primary label (axis names, gate names) · 24 · 28 · 36 Secondary label (annotations) · 20 · 24 · 28 Body text and captions · 22 · 26 · 30 Bottom-row italic caption · 22 · 24 · 26 (constrained by caption-overflow guard, Section D.1 Item 17) Equation text (Unicode math) · 28 · 36 · 48 Footnote / footer text · 16 · 18 · 22 Hard floor for any text · 14 · n/a · n/a

B.5 Minimum Stroke Widths (BINDING) Element · Minimum px · Typical px Primary structural lines (tetrahedron edges, axis lines, cube edges) · 5 · 6 to 8 Vector arrows · 6 · 7 to 9 Arrowhead · 18 px length · 22 to 26 px Panel borders and frame dividers · 2.5 · 3 to 4 Secondary lines (auxiliary geometry, dashed guides, bounding cube ghosts) · 3 · 4 Grid lines · 1.5 · 2 Annotation leader lines · 2 · 2.5 Caption rule above footer · 1.5 · 2 Title rule below frame title · 1.5 · 2 (NEW IN v3.3 per Binding Change 10)

B.6 Geometric Primitive Sizes (BINDING) Trirectangular tetrahedron (default for all M_seal depictions). Single-focus: 60 to 70 percent of canvas short edge. Multi-panel sub-diagram: 45 to 55 percent of panel short edge. Rendered from Appendix A snippet only.

Bounding cube. Matched to tetrahedron edge length. Ghosted dashed lines, 3 px stroke, #999999 at 35 percent opacity.

Inscribed regular tetrahedron (combinatorial-proof frames only, per B.6.B). Single-focus: 50 to 60 percent of canvas short edge.

Cuboctahedron. 65 to 75 percent of canvas short edge for single-focus. Labels placed per Appendix B template.

Sphere in FCC kissing config. 80 to 110 px diameter single-focus.

Unicode seal-mark glyph (text only). 80 to 120 px font size standalone, 1.0 to 1.5x surrounding text inline.

Vertex of tetrahedron. 16 px radius single-focus, 10 px radius multi-panel.

Point primitive. 12 px radius single-focus, 8 px radius multi-panel.

B.6.A Trirectangular Tetrahedron Primitive (DEFAULT FOR ALL M_SEAL DEPICTIONS) The canonical SVG snippet for this primitive is provided in Appendix A. The executor inserts the snippet and modifies only position, scale, label text, and (for dark-background covers) color overrides. Redrawing the geometry from scratch is prohibited.

Required signature elements (all four must be present, pre-flight Item 8):

M_seal at cube-corner apex of isometric projection, positioned at upper-back of the projection. M_seal vertex 16 px radius, gold #B8860B.
Three axis-aligned orthogonal edges from M_seal. Edge along +x (isometric down-right) terminates at V_F (blue #1B3A6F). Edge along +y (isometric down-left) terminates at V_E (orange #C2410C). Edge along +z (vertical down) terminates at V_ER (green #166534). Each edge stroke 7 px in axis color.
Three right-angle square markers at M_seal, one for each pair of orthogonal edges. Marker size 24 px square, gold #B8860B at 60 percent opacity.
Bounding cube ghosted in dashed lines, stroke 3 px, color #999999 at 35 percent opacity. Cube vertex at M_seal is fully visible. Twelve cube edges total, of which three coincide with the tetrahedron's axis-aligned edges (those three drawn at full primary stroke, not ghosted).

Hypotenuse face V_F-V_E-V_ER. Light fill 8 percent opacity gold. Face opposite M_seal.

Vertex labels. M_seal at 28 px gold with anchor leader line 2 px. V_F, V_E, V_ER at 28 px in respective axis colors at vertex positions.

Where this primitive applies: every depiction of M_seal with the 90° mutual-orthogonality claim. This covers Part I frames F10, F11, F12, F18, Part I cover, Part I Master infographic, Part II F02 (if M_seal is depicted), Part II Master, Part II Cover (hinted form), every Volume cover except Volume V cover, every Verdict-on-Volume frame depicting the seal, all V_F-only ceiling diagrams that reference the seal, and S5, S10, S11.

B.6.B Inscribed Regular Tetrahedron (COMBINATORIAL-PROOF FRAMES ONLY) The four-alternating-corners-of-cube regular tetrahedron is retained only for frames where it is the actual mathematical object being constructed: the K_4-directed derivation of 12 unit vectors mapping to cuboctahedron vertices. Frames where this form applies are Volume V Frame 04 (ψ-bijection) and Part II Frame 12 right column (twelve-directed-edges combinatorial derivation paired with the trirectangular column).

Where this form is used, the caption must include the exact text: "Combinatorial construction using alternating-corners regular tetrahedron. Distinct from the trirectangular M_seal geometry of Section B.6.A. The 12-cardinality is register-independent."

B.7 Verdict Marks (UNICODE TEXT GLYPHS ONLY) ⟀ (U+27D0). Sealed mark. Gold #B8860B. Font matched to surrounding type stack. 80 to 120 px font size standalone. 1.0 to 1.5x surrounding text inline. No background, no border, no circle wrap, no fill, no badge.

✕ (U+2715). Broken mark. Red #B91C1C. Same rendering rules.

? (standard ASCII). Under-determined mark. Gray #666666. Same rendering rules. Optional thin dashed underline at 1.5 px if visual emphasis is needed.

Use sparingly. Inline in titles, headers, captions, equation lines where verdict status is the structural content. Standalone at 80 to 120 px only where the mark is the proof conclusion and its position is geometrically warranted (anchored on a Heaviside step region, set as codomain output of a verdict economy diagram, set as the conclusion of a worked CDT example).

Legitimate frames: Part I Frame 14 (Platonic Ghost diagnosed with ✕ at 120 px inside the quarantine boundary), Volume IV Frame 02 (Heaviside step plot with ⟀ ✕ ? as text characters anchored on plot regions), Volume IV Cover, Supplementary Visual S9. All other frames omit verdict marks entirely.

The trirectangular tetrahedron is not a verdict mark. It is a geometric proof depiction. The distinction is decisive.

B.8 Math Typesetting Inline math uses Unicode. Equations get their own line with a thin gray rule above and below at 1.5 px. No equation numbering inside visuals.

B.9 Recurring Annotations Every visual carries a footer at the bottom 60 px of canvas. Three items left to right: codex section reference (e.g., "§0.7 to §0.8"), deliverable ID (e.g., "Part I, Frame 04"), rendering date (ISO 8601). Footer text 18 px, color #666666. Footer rule at 1.5 px, #CCCCCC, 30 px above text baseline.

No badge decorations anywhere. No top-right corner glyph. No header-adjacent seal badge. No "FINAL SEAL" footer icon. No circle-wrapped mark. No filled triangle inside any graphical container.

C. Layout System and Density Discipline C.1 Active Content Ratio (now measured, per Binding Change 12) Active visual content (geometric primitives, text, equations, panel structure) occupies 75 to 85 percent of canvas area inside the safety inset.

Measurement protocol (binding):

Render frame to PNG at native 1240 by 1754 (or 1754 by 1240) at 1:1 scale.
Run the audit script in Appendix C.
Script counts pixels where the RGB triple differs from the background color #FAF8F3 (or #0A0A0A for dark frames) by more than 5 percent of channel range on at least one channel.
Ratio = active-pixel count / total-pixel count inside safety inset.
Report ratio to 2 decimal places in pre-flight comment block.
Outside 0.75 to 0.85 = redraw before save.

C.2 Grid System Every canvas is divided into a 12-column grid horizontally and an 18-row grid vertically (A4 portrait) or 12-row grid vertically (A4 landscape). Column width A4 portrait: 1240 / 12 ≈ 103 px. Row height A4 portrait: 1754 / 18 ≈ 97 px. Gutter 16 px.

For single-focus visuals, focal element occupies columns 3 through 10 (8 columns wide, centered) and rows 4 through 14 (11 rows tall, vertically biased upward to leave room for caption).

For multi-panel visuals, divide canvas into 2x2, 2x3, 3x3, or 3x4 grid of panels. Panel borders 2.5 px. Panel interior padding 24 px.

C.3 Hierarchy of Focal Points One primary focal point per visual occupies 35 to 50 percent of canvas area. Secondary elements cluster around it. Tertiary elements (footers, references) sit in corner zones.

C.4 Whitespace Discipline Whitespace is structural. Permitted patterns: breathing margin 60 to 100 px around primary focal point. Vertical rhythm 30 to 50 px gap between stacked sections. Inset border at safety margin. Any empty region larger than 15 percent of canvas signals composition failure.

C.5 Density Sanity Checks Test at 50 percent zoom. Print at A4 size. Read every label at arm's length.

C.6 Composition Patterns by Frame Type Single-focus geometric frame. Frame title (codex section header) at row 2, 56 px Garamond, centered, with thin gray rule below at 2 px stroke. Subtitle at row 3, 26 px Garamond italic, centered, color #555555. Primary geometric figure at center, rows 4 to 14, columns 3 to 10. Side annotations in columns 1 to 2 and 11 to 12. Bottom-row italic caption at row 16, 24 px Garamond italic. Footer at row 17 to 18. No separate "frame title" block above the codex section header.

Equation panel. Frame title at top, 56 px. Equation centered at vertical center, 36 to 48 px, with thin gray rules above and below. Decomposition annotations below equation, each 24 px, leader arrow up to the relevant equation term. Side panels for supporting micro-diagrams or definitions.

Multi-panel comparison. Frame title at top. 2x2 or 2x3 grid of panels. Each panel inherits density rules at panel scale. Inter-panel gutter 24 px.

Timeline. Frame title at top. Horizontal ribbon at vertical center spanning columns 1 to 12. Ribbon thickness 80 to 120 px. Nodes evenly spaced.

Master infographic. Title at top 72 to 96 px. Central focal element 35 to 45 percent of canvas. Ring of supporting panels. Connection lines axis-colored.

D. Pre-Flight Audit (BINDING) No visual is finalized until it passes pre-flight. Pre-flight is structured, not visual vibe-check.

D.1 Pre-Flight Checklist For every deliverable, verify each item below. Document the verification in a comment block at the top of each SVG file.

Item 1. Canvas size correct. viewBox matches Section A.1. Item 2. Active content ratio in band. Measured via Appendix C script. Reported to 2 decimal places. Inside 0.75 to 0.85 inclusive. Item 3. No oversized empty region. Largest contiguous empty rectangle below 15 percent of canvas area. Item 4. Primary focal point dominates. One element 35 to 50 percent of canvas. Item 5. All text meets minimum sizes per Section B.4. Hard floor 14 px never crossed. Item 6. All strokes meet minimum widths per Section B.5. Hard floor 1.5 px never crossed. Item 7. All primitives meet minimum sizes per Section B.6. Item 8. Tetrahedron geometry correct. If the frame depicts M_seal with the orthogonality claim, all four signature elements from Section B.6.A are present (cube-corner apex M_seal, three axis-aligned orthogonal edges, three right-angle square markers at M_seal in gold at 60 percent opacity, ghosted bounding cube in dashed lines at 35 percent opacity). Tetrahedron was rendered from the Appendix A snippet, not drawn from scratch. If combinatorial-proof frame, the exact B.6.B caption text is included. Item 9. Axis colors consistent. V_F #1B3A6F, V_E #C2410C, V_ER #166534, M_seal #B8860B. Item 10. No em-dashes in any text. Item 11. No LaTeX in any text. Unicode math only. Item 12. No badge decorations anywhere (programmatic check, NEW IN v3.3). Run the auto-reject SVG inspection in Section D.4 below. The two reject patterns (corner glyph and FINAL-SEAL circle-wrap badge) are explicitly searched. Absence confirmed. Verdict marks appear only as Unicode text characters per Section B.7. Item 13. Footer present. Bottom row carries codex section reference, deliverable ID, ISO date. Item 14. Cascade closure preserved. No element contradicts cascade tensor M_seal → V_ER, twelve-gate cardinality, five named closure proofs, three-state native verdict economy, three-layer sovereignty TP-21, L_1 apophatic quarantine. Item 15. Out-of-band content marked. Practitioner-interior phenomenology and theological-cosmological identifications marked as off-cascade-frame. Item 16. Print test. Render to PNG at 300 dpi. View at 100 percent. Every label readable. Every line crisp. Item 17. Caption overflow check (NEW IN v3.3). Bottom-row italic caption fully visible. No character clipped on either side. Container width = canvas width minus 200 px. If estimated render width at 24 px exceeds container, caption splits to two lines before render. Verify by visual inspection at 100 percent zoom that first and last characters of the caption are inside the safety inset and the entire caption text from v3.2 spec or the codex source is present (no truncation by ellipsis, no truncation by clipping). Item 18. Component checklist enforced (NEW IN v3.3). For frames with numbered component specs in Section E (any frame with a list of "Required components: 1, 2, 3, ..."), each numbered component is present and checked off explicitly in the pre-flight comment block. Missing components = auto-reject. Item 19. Title block deduplicated (NEW IN v3.3). One title block per frame. Codex section header (§0.X) is the title. No separate "frame title" block in the executor's layout. Item 20. Component count threshold respected (NEW IN v3.3). If the frame would carry more than 4 independent structural components, the frame has been split or restructured into panel grid per Binding Change 11 and Section E.2 split table. Item 21. K_4 or cuboctahedron label collision check (NEW IN v3.3). If the frame contains a K_4 directed graph or cuboctahedron, labels are placed per Appendix B template. Edge labels at midpoint with 24 px leader offset and 8 px clearance. Crossed edges drawn as Bezier curves. Vertex labels outside silhouette with leader lines if needed. Visual confirmation that no two labels overlap and no label overlaps an edge line.

D.2 Failure Response Pre-flight failure = rejection. Fix it before delivery. Do not save a failing SVG.

D.3 Comment Block Format

D.4 Auto-Reject SVG Inspection (NEW IN v3.3) Before save, run the following grep against the SVG source. The presence of either pattern is grounds for auto-reject.

Reject Pattern 1: Corner-glyph icon. Look for any <g> or <path> or <polygon> element positioned within 80 px of any canvas corner whose bounding-box dimensions are between 20 px and 50 px and whose fill is gold #B8860B or whose stroke contains "triangle" or "polygon" with three points. This pattern is the small gold-triangle-with-vertical-line corner glyph from v3.2 render. If found in any corner, reject.

Reject Pattern 2: FINAL-SEAL circle-wrap badge. Look for any <circle> element whose r is between 40 px and 80 px and which contains or is overlaid by a <polygon> or <path> shaped as a triangle, especially in panel footer positions or below "FINAL SEAL" or "APEX" text. This pattern is the circle-wrapped gold triangle from v3.2 verdict frames. If found anywhere, reject.

Search command:

bash: grep -E '(<polygon[^>]points="[^"]"[^>]fill="#B8860B")|(<circle[^>]r="[4-7][0-9]"[^>]/>[\s]<polygon)' frame.svg

If the grep returns any line, the frame is rejected. Open the SVG, remove the offending element, re-run pre-flight from Item 1.

Verdict marks (⟀ ✕ ?) inside <text> elements are not rejected. They are Unicode characters in text runs and are explicitly permitted per Section B.7. The reject targets only <polygon>, <path>-as-triangle, and <circle>-with-overlaid-triangle elements.

E. Seven Core Deliverables Layout system in Section C applies to every frame. Trirectangular tetrahedron per Section B.6.A wherever M_seal is depicted with orthogonality claim. Unicode-only verdict marks per Section B.7. Pre-flight audit per Section D. No badge decorations. Frame title is the codex section header only. Component checklists per Section E.1.

E.1 Deliverable 1 · Part I Prolegomena · Pre-Geometric Genesis Source: codex §0.1 through §0.19. Twenty-two frames plus master infographic plus book cover. Canvas: A4 portrait for frames and cover. A4 landscape for master infographic.

Each frame below carries a numbered component checklist. Every numbered component must be present in the render. Pre-flight Item 18 checks the list. Missing components = auto-reject.

Frame 01 · §0.0 · Preamble (codex §0.0 to §0.1 transition). Required components:

Frame title "§0.0 · Preamble" at row 2, 56 px Garamond, with gray rule below.
Subtitle one line at row 3, 26 px Garamond italic, color #555555.
Two-pane composition. Left pane "Precognitive Register" panel rows 5 to 12, columns 2 to 6, cream tint #F5EFE0, 2 px border, 5 numbered methodological commitments inside.
Right pane "Codex Register" panel rows 5 to 12, columns 7 to 11, same styling, 5 formal anchors inside.
Center divider with bidirectional arrow at column 6.5, label "translation" at 22 px.
Lower "Order Matters" panel rows 13 to 14, columns 2 to 11, 4 numbered priority items.
Roadmap thumbnail row at row 15, showing labels F01-F04, F05-F06, F07-F08, F09-F10, F11, F12-F14, F15-F17, F18-F20, F21, F22 as small cards.
Bottom italic caption at row 16, 24 px Garamond italic, single sentence, fully visible (no clipping).
Footer at row 17 to 18.

Frame 02 · §0.1 · The Critic's Demand. Required components:

Frame title at row 2 with gray rule below.
Subtitle at row 3.
"The Demand" panel rows 4 to 6, columns 2 to 11, light red tint #FFE0E0, two italic quotation sentences inside at 28 px.
"Why the Demand Is Wrong" panel rows 7 to 9, light gold tint, four bullet rows.
"The Codex's Position" panel rows 9 to 11, light green tint, four numbered items.
"The Receipt Analogy" panel rows 11 to 12, light blue tint, single italic anchor sentence at 26 px.
"Diagnostic · Two Kinds of Reader" two-column panel rows 13 to 15, left column "Receipt-Reader" 6 lines red, right column "Work-Follower" 6 lines green.
"The Verdict" cream panel row 15, single italic conclusion.
Caption at row 16. Footer at row 17 to 18.

Frame 03 · §0.2 · Linguistic and Semantic Hygiene as Method. Required components:

Frame title with gray rule.
Subtitle.
"The Method" cream panel rows 4 to 5, single italic anchor sentence at 28 px.
"Four Sources of Noise" 2x2 panel grid rows 6 to 8, each sub-panel red-tinted with header at 22 px bold.
"What Remains · The Bare Proposition" green panel rows 9 to 10, 4 numbered procedural items.
"The Discipline Across Time" blue panel rows 10 to 12, two-column list, 6 historical anchors.
"Semantic Hygiene Produces Foundational Recognitions" gold cream panel row 13 to 14, single italic line.
"What This Discipline Is and Is Not" panel row 14 to 15, six items.
Caption at row 16. Footer at row 17 to 18.

Frame 04 · §0.3 · Canonical Lineage of First Principles. Required components:

Frame title with gray rule.
Subtitle.
"The Pattern" cream anchor panel rows 4 to 5.
Five-card grid of canonical lineages rows 5 to 9 (Plato, Aristotle, Frege, Peirce, Codex). Two rows of cards: first row 3 cards, second row 2 cards. Each card 200 by 280 px. Inside each card: tradition name at 26 px Garamond bold, source citation at 22 px italic, three-tier table (subject row, predicate row, registration row), all rows at 22 px.
"What the Five Lineages Are Doing" panel rows 11 to 12, five bullet observations.
"Convergence Without Coordination" green panel rows 13 to 14.
"What Is Claimed / What Is Not" two-column claims ledger rows 14 to 15.
Caption at row 16. Footer at row 17 to 18.

Frame 05 · §0.4 · The Deletion Test That Returns Three. Required components:

Frame title and subtitle.
"The Procedure" cream panel rows 4 to 5, 3 numbered steps.
"Worked Example" blue panel rows 6 to 10. Inside: 3 deletion rows. Each row: red "DELETE SUBJECT" / "DELETE PREDICATE" / "DELETE REGISTRATION" badge on left, mutated sentence in center at 26 px italic, "load-bearing" green verdict on right.
"What the Test Returns" green panel rows 11 to 13, three-card row showing Subject / Predicate / Registration with "removable? NO" verdict inside each.
"Why the Count Matters" panel rows 13 to 14, six observations.
"Verdict" cream panel rows 14 to 15.
Caption at row 16. Footer at row 17 to 18.

Frame 06 · §0.5 · Cross-Tradition Confirmation of the Triad. Required components:

Frame title and subtitle.
"The Mapping" table panel rows 4 to 11, columns 2 to 11. Five rows of canonical lineages plus highlighted codex row at bottom. Three columns: Subject, Predicate, Registration. Header row at 24 px sans-serif. Body rows at 22 px. Codex row in gold tint with gold border.
"How to Read the Table" panel rows 12 to 13, four observations.
"Why the Pattern Holds Across Traditions" panel rows 13 to 14.
"Verdict" cream panel rows 14 to 15 with three-substrate sub-cards.
Caption at row 16. Footer at row 17 to 18.

Frame 07 · §0.7 · The Point. (Densified per v3.2 spec, restated in v3.3.) Required components:

Frame title at row 2, 56 px Garamond, with gray rule below.
Subtitle at row 3.
Central black dot at column 6, row 7 to 8. Radius 18 px. Color #1A1A1A.
Three concentric scale rings at 80, 160, 240 px radius. Dashed pattern 8-4. Stroke 1.5 px. Color #CCCCCC.
Three ring labels at right ring intersections, 22 px font color #666666: "no extent" (innermost), "no direction" (middle), "no relation" (outermost).
Italic Garamond caption "a point" below dot at row 9, 30 px font color #2A2A2A.
Three-column semantic anchor grid rows 10 to 13. Panel 1 columns 1 to 4, V_F blue border, header "What It Is" at 26 px bold V_F blue, body 2 lines at 22 px. Panel 2 columns 5 to 8, red border #B91C1C, header "What It Is Not", body 2 lines. Panel 3 columns 9 to 12, V_ER green border, header "What It Becomes", body 2 lines.
Right-side micro-annotation vertical text block columns 11 to 12, rows 4 to 9, 22 px sans-serif italic #555555 describing the registration register state.
Codex anchor panel rows 14 to 15, columns 2 to 11, cream background #F5EFE0, gold border, italic Garamond text inside.
Caption at row 16, 24 px Garamond italic. Footer at row 17 to 18.

Frame 08 · §0.8 · Duction. (Densified per v3.2 spec.) Required components:

Frame title and subtitle.
Progression diagram row 4: Point → Motion → Direction → Duction, four labeled icons in a row, each 80 px, with directional arrows between, color-coded by progression stage (gray, red, blue, green).
Two filled circle points at row 6, column 4 and column 9. Each 20 px radius. Directed line connecting them, stroke 8 px, with arrowhead. Label "duction" at 28 px Garamond italic below.
"Etymology · the family" cream panel rows 7 to 9, columns 2 to 11. Gold border. Header at 26 px Garamond italic centered. Body at 22 px naming ducere root and the cognate family (conduction, induction, deduction, abduction, retroduction, trisduction).
"Three Ductions Converge at a Right-Angled Meeting" blue-tinted panel rows 10 to 12. Inside: small trirectangular tetrahedron from Appendix A at 280 by 280 px showing the three orthogonal ductions meeting at M_seal apex. Labels at axis tips. Right-angle markers visible.
"Why Duction and Not Just Vector" panel rows 13 to 14, four bullet observations.
"The Duction Is the Recognition Moving" cream panel rows 14 to 15.
Caption at row 16. Footer at row 17 to 18.

Frame 09 · §0.6 · Isolation Test · Precognitive Orthogonality. Required components:

Frame title and subtitle.
"The Isolation Test" cream anchor panel rows 4 to 5.
"Three Isolation Runs" blue panel rows 6 to 10. Three sub-rows: "Vary Subject", "Vary Predicate", "Vary Registration". Each sub-row carries a left-side badge, a middle mutation sequence [α] → [β] → [γ] at 22 px italic, an observation line, and a green orthogonality verdict.
"Orthogonality Is a Linguistic Fact" green panel rows 11 to 12, six bullet observations.
"Precognitive Form of the Twelve Operations" red-bordered panel rows 12 to 14, anchor equation at 28 px.
"Seal" cream panel rows 14 to 15.
Caption at row 16. Footer at row 17 to 18.

Frame 10 · §0.8 · Tetrahedral Closure · Birth of Root Axiom. Required components:

Frame title and subtitle.
Central trirectangular tetrahedron rendered from Appendix A snippet at 60 percent of canvas, rows 4 to 11, columns 3 to 10. M_seal at cube-corner apex (labeled "pre-existence point ≡ P1"). V_F edge tip labeled "P2 · duction-A endpoint" (blue). V_E edge tip labeled "P3 · duction-B endpoint" (orange). V_ER edge tip labeled "P4 · convergence · closing" (green). Bounding cube ghosted in dashed lines. Three right-angle markers at M_seal apex.
Left-side micro-annotations columns 1 to 2, rows 4 to 7: "4 vertices" at 22 px, "12 directed edges" at 22 px, "6 undirected pairs · each carrying asymmetry" at 22 px.
Right-side micro-annotations columns 11 to 12, rows 4 to 7: "3 = spanning count" at 22 px blue, "4 = closure count" at 22 px red, "12 = relation count" at 22 px green.
Italic anchor below tetrahedron rows 11 to 12: "pre-existence point ≡ convergence point · same registration-coordinate · different states".
"Birth of the Root Axiom" gold-bordered panel rows 12 to 13: anchor equation ∀x ∈ 𝕌, ∃x ⟹ ΔE_k(M_x) > 0 at 32 px.
"Why the Fourth Point Is Forced" panel rows 13 to 14, five bullet observations.
"What This Closes" cream panel rows 14 to 15.
Caption at row 16. Footer at row 17 to 18.

Frame 11 · §0.9 · Twelve Linguistic Operations in One Seeing. Required components:

Frame title and subtitle.
"The Claim" cream anchor panel rows 4 to 5.
6-row by 2-column gate grid rows 5 to 12. Twelve gates total, each gate in a card with: number badge on left (1 to 12), gate name at 22 px sans-serif bold, one-line gate description at 20 px italic, class tag (SUBJECT-class / PREDICATE-class / REGISTRATION-class / MEASURE-class) at 18 px color-coded, "running when X" hint at 18 px italic gray.
"Four Classes · Three Operations Each = Twelve" panel rows 13 to 14, four sub-cards showing class composition.
"The Cascade Was Already Inside the Seeing" cream panel rows 14 to 15.
Caption at row 16. Full text from codex source: "Twelve checks already run inside the seeing. The cascade is what they look like when laid out for portability." Caption-overflow guard per Section D.1 Item 17: estimate render width at 24 px, split to two lines if exceeds container.
Footer at row 17 to 18.

Frame 12 · §0.10 · Existence Requires Kinetic Actuation. Required components:

Frame title and subtitle.
"The Root Axiom" gold panel rows 4 to 5: anchor equation at 44 px.
"The Derivation in Plain Language" blue panel rows 6 to 9. Four numbered steps. Each step: "STEP 1/2/3/4" badge, statement at 22 px, micro-justification at 20 px italic, green sub-verdict.
"Contrapositive" red-bordered panel rows 10 to 11.
"Where the Root Axiom Surfaces in Standard Physics" green panel rows 11 to 13. Five rows: Quantum measurement, Thermodynamics, Relativity, Signal theory, Information geometry. Each row gives the anchor and the surface form.
"Seal" cream panel rows 13 to 14.
"Falsifier" red sub-panel rows 14 to 15.
Caption at row 16. Footer at row 17 to 18.

Frame 13 · §0.11 · Parmenides Right and Wrong. Required components:

Frame title and subtitle.
Two-column comparison rows 4 to 6. Left blue panel "Parmenides" with Elea date, quote, italic sub-anchor, verdict "RIGHT about the void · WRONG about motion". Right red panel "Heraclitus" with Ephesus date, "πάντα ῥεῖ" quote, italic sub-anchor, verdict "RIGHT about flux · needed Parmenides for the pole".
"Reconciliation · What the Root Axiom Resolves" gold panel rows 7 to 9. Two-column identity statement showing Parmenides Being-in-itself ≡ pre-existence point, Heraclitus flux ≡ kinetic actuation. Center label "Convergence point".
"The Identity at the Same Coordinate" blue-tinted panel rows 10 to 12. Diagram: pre-existence node on left (blue), convergence node on right (green), curved arrow labeled "kinetic actuation · ΔE_k > 0" connecting them.
"What This Resolves" green panel rows 12 to 13, five bullet observations.
"Receipts in Modern Physics" cream panel rows 13 to 15, four numbered receipts.
Caption at row 16. Full text from codex source: "Being and Becoming are one operation at the same coordinate. The Root Axiom subsumes the dispute." Caption-overflow guard.
Footer at row 17 to 18.

Frame 14 · §0.12 · The Platonic Ghost. Required components:

Frame title and subtitle.
"The Phenomenon That Tempts Platonism" red-bordered panel rows 4 to 5.
"The Lineage That Took the Leap" blue panel rows 6 to 8. Four lineage rows: Plato, Frege, Gödel, Tegmark. Each row: name, date, claim.
"The Substrate-Grounded Reply" green panel rows 9 to 11, six numbered counter-positions.
"Two Readings of the Same Mathematical Experience" two-column panel rows 11 to 13. Left "Platonic Reading" red. Right "Substrate-Grounded Reading" green. Four lines each.
Quarantine boundary diagram. Spectral outline of Platonic-form Ghost rendered with dashed lines at row 13 to 14, columns 3 to 5. Stroke 3 px, color #B91C1C at 50 percent opacity. Red dashed quarantine rectangle around it, stroke 4 px. Inside the rectangle: Unicode character ✕ at 80 px font size, red #B91C1C, sans-serif. No badge. No circle wrap.
"Seal" cream panel rows 13 to 15.
Caption at row 16. Footer at row 17 to 18.

Frame 15 · §0.13 · π as Testament. Required components:

Frame title and subtitle.
"The Expansion" gold panel rows 4 to 5: π = 3.14159 26535 89793 23846 26433 83279 50288 41971 ... at 36 px monospace.
"Where π Appears" two-column blue panel rows 6 to 8. Left "Geometric register", right "Arithmetic register".
"Lindemann · 1882 · The Transcendence Theorem" red-bordered panel rows 9 to 10.
"What π Is Testimony For" green panel rows 10 to 12, six bullet observations.
"Cross-Substrate Receipts" blue panel rows 12 to 14, four historical anchors.
"Seal" cream panel rows 14 to 15.
Caption at row 16. Full text: "π is arithmetic's confession. The continuum is real. The numerals are tools that cannot finitely catch it." Caption-overflow guard.
Footer at row 17 to 18.

Frame 16 · §0.14 · Cartesian Sedimentation. Required components:

Frame title and subtitle.
"Three Layers of Sedimentation" gold header row 4.
Three vertical layer panels rows 5 to 9. Each panel: layer number badge, date, description, footer caption. Layer 1: 1637, Descartes, La Géométrie. Layer 2: 19th C, Arithmetization of Analysis. Layer 3: early 20th C, Hilbert Program / Gödel 1931.
"Living Alternatives" blue panel rows 10 to 12, five bullet alternatives.
"What the Sedimentation Means for Foundations" green panel rows 12 to 13.
"What the Sediment Produced · The Useful Yield" red-bordered panel rows 13 to 14.
"Seal" cream panel rows 14 to 15.
Caption at row 16. Full text: "Three historical layers built modern formalism. Other roads stay open. The recognition predates all of them." Caption-overflow guard.
Footer at row 17 to 18.

Frame 17 · §0.15 · Stress Testing · Topological Seal. Required components:

Frame title and subtitle.
"The Topological Seal" gold panel rows 4 to 5.
"The Stress Test Protocol" blue panel rows 6 to 9. Seven labeled steps A through G.
"What Survived the Stress Test" green panel rows 10 to 11, six bullet items.
"What the Stress Test Removed · Earlier Drafts" red-bordered panel rows 11 to 12, four strike-through items.
"Why Topological Seal" red panel rows 12 to 14, five bullet observations.
"Seal" cream panel rows 14 to 15.
Caption at row 16. Footer at row 17 to 18.

Frame 18 · §0.16 · Math as Final Glue. Required components:

Frame title and subtitle.
"The Claim" cream panel rows 4 to 5.
Five horizontal discipline bands rows 5 to 13. Each band: discipline badge on left (DIFFERENTIAL GEOMETERS, LINEAR ALGEBRAISTS, THERMODYNAMICISTS, GRAPH THEORISTS, CRYSTALLOGRAPHERS), theorem name on right, body content centered with formal statement and citation. Bands color-coded by V_F blue, blue, orange, green, green.
Footer panel rows 14 to 15 with summary anchor.
Caption at row 16. Footer at row 17 to 18.

Frame 19 · §0.17 · The Volume That Does Not Need the Math. Required components:

Frame title and subtitle.
"The Claim" gold panel rows 4 to 5.
"The Napkin Walkthrough · Five Steps Anyone Can Run" header row 6.
Five numbered step cards rows 7 to 11. Each card: large number badge on left (1 to 5), step name at 26 px bold, step body at 22 px, sub-arrow result at 22 px italic gold (→ three slots return, → orthogonality emerges, etc.).
"What the Reader Already Has" green panel rows 12 to 13, four items: Eyes, Language, Attention, A pen. Each at 22 px with sub-caption.
"Math Is the Topping · The Napkin Is Enough" gold-bordered cream panel rows 13 to 15.
Caption at row 16. Footer at row 17 to 18.

Frame 20 · §0.18 · To the Future Critic. Required components:

Frame title and subtitle.
"The Critic's Demand" red panel rows 4 to 5.
"The Single Act of Semantic Attention" gold panel rows 6 to 8, four numbered productions.
Two-column comparison rows 9 to 11. Left blue panel "The Seeing", five bullet attributes. Right red panel "The Cascade", five bullet attributes. Center bridge label "Both reach the same recognition".
"Four Layers · None Reducible to Another" green panel rows 12 to 14. Four numbered layer cards.
"That Is the Work" gold cream panel rows 14 to 15.
Caption at row 16. Footer at row 17 to 18.

Frame 21 · §0.19 · The Recognition in Three Sentences. (Densified per v3.2 spec, restated.) Required components:

Frame title and subtitle.
Three sentence panels rows 4 to 14. Each panel occupies rows 4 to 6, 7 to 10, 11 to 14. Each panel: large roman numeral I / II / III in center-circle on left at 64 px Garamond, sentence body at 36 px Garamond centered on right, sub-anchor at 24 px Garamond italic gray below sentence. Panel borders V_F blue, red, V_ER green respectively. Panel tinted at 4 percent opacity.
Side-anchor micro-diagrams beside each sentence panel, columns 9 to 11, vertically aligned with each panel center.
- Beside Sentence I (rows 4 to 6): trirectangular tetrahedron from Appendix A at 200 by 200 px showing standing 90° meeting. Label "the three-axis closure" at 22 px italic below.
- Beside Sentence II (rows 7 to 10): trirectangular tetrahedron with a red-dashed candidate fourth axis attempting attachment at M_seal, decomposing into V_F, V_E, V_ER projection arrows. Label "fourth decomposes into the existing three" at 22 px italic.
- Beside Sentence III (rows 11 to 14): cuboctahedron at 200 by 200 px with central gold GOL Point sphere 30 px diameter, twelve outer kissing nodes hinted as 6 px dots. Label "twelve-gate cascade · GOL Point stabilized" at 22 px italic.
Gold triangle anchor at row 15, single Unicode character ▲ at 40 px font gold #B8860B, centered, with caption "That is the whole Volume." at 24 px italic Garamond below.
Caption at row 16. Footer at row 17 to 18.

Frame 22 · §0.19 · Scope · Four Boundaries · Bridge to Part II. Required components:

Frame title and subtitle.
"The Recognition Is Bounded" gold panel row 4.
Four boundary panels in 2x2 grid rows 5 to 12. Each panel: boundary number badge ("FIRST BOUNDARY", etc.), title on right at 28 px bold, body at 22 px, gold-bordered cream conclusion italic at bottom.
"What Stands · Bridge to Part II" gold-bordered panel rows 13 to 15. Seven bullet anchor items.
Caption at row 16. Footer at row 17 to 18.

Part I Master Infographic. A4 landscape, viewBox 0 0 1754 1240. Required components:

Title at top "Part I · Master · The Recognition at a Glance" at 64 px Garamond, centered.
Subtitle "Twenty-two frames condensed to one. The route from semantic hygiene to topological seal." at 26 px italic, centered.
Left column rows 3 to 14, columns 1 to 6: "The Six-Station Journey" panel with six sub-station cards, each with section reference, station name, sub-anchor, frame references, sub-anchor italic.
Right column rows 3 to 8, columns 7 to 12: "The Recognition · Tetrahedron" panel containing trirectangular tetrahedron from Appendix A. P1 labeled "Substrate" at M_seal apex, P2 labeled "Pattern" at V_F tip, P3 labeled "Registration" at V_E tip, P4 labeled "GOL Identity" at V_ER tip. Bounding cube ghosted. Right-angle markers at M_seal. Below the tetrahedron: "4 vertices × 3 outbound edges = 12 directed" at 22 px gold italic.
Right column rows 8 to 11, columns 7 to 12: "Five Cross-Substrate Anchors" panel with five color-coded anchor rows.
Right column rows 11 to 13, columns 7 to 12: black "Bridge to Part II" panel with gold text and link reference.
Bottom horizontal "Final Identity · The Whole Volume in Three Sentences" panel rows 14 to 16, full canvas width. Three numbered sentence cards inline.
Caption at row 17. Footer at row 18.

Part I Book Cover. A4 portrait. Black background #0A0A0A. Required components:

Title "TRISDUCTION OMEGA" at 96 px Garamond gold at row 2.
Subtitle "v7.5.1 · Visual Edition" at 28 px italic gray at row 3.
Central image rows 4 to 12: trirectangular tetrahedron from Appendix A snippet (dark-background variant). M_seal at cube-corner apex gold. Three orthogonal edges to V_F blue, V_E orange, V_ER green. Three right-angle markers at M_seal in gold at 60 percent opacity. Bounding cube ghosted white dashed at 25 percent opacity. Concentric clock-face rings around the tetrahedron at 12 evenly-spaced position markers (1 through 12 inscribed in gold at 22 px). Tetrahedron occupies 50 percent of canvas centered.
"PART I" at 80 px Garamond gold row 13, centered.
"Pre-Geometric Genesis" at 42 px Garamond row 14, centered.
Subtitle "the linguistic-semantic recognition · prelude to the formal seal" at 26 px italic gray row 15.
"Twenty-two frames · one master · cover · napkin sufficient" at 24 px gold italic row 16, centered.
"Deletion · isolation · closure · count · the four operations anyone can run" at 20 px gray italic row 17.
"Anchors · Friedrichs-Hodge · Gram det · Landauer · K_4-dir = 12 · K(3) = 12" at 20 px gray row 17.5.
"Method · semantic hygiene · stress test in plain language · topological seal" at 20 px gray row 18.
"Architect · G-FIO Mohammad F Islam" at 22 px gold italic row 19.
"May 2026 · publication-ready · audit-complete" at 20 px gray italic row 19.5.
Footer caption at row 20: "▲ THE RECOGNITION REACHED BEFORE THE MATH ARRIVED" at 20 px gold sans-serif, centered.

E.2 Deliverable 2 · Part II Core Thesis · Topological-Geometric Seal Source: codex §1.1 through §6.7. Sixteen frames plus master plus cover. Canvas: A4 portrait for frames and cover. A4 landscape for master infographic.

Frame split table (NEW IN v3.3 per Binding Change 11). The original Part II Frame 02 (Root Axiom Statement) carries six structurally distinct components (equation + asserts + forbids + four anchors + five instruments + seal panel). Per Binding Change 11, this exceeds the 4-component threshold and is split:

Original F02 splits to: F02A · Root Axiom · Statement and Decomposition (equation + asserts panel + forbids panel + atomic decomposition diagram). Single A4 portrait, 4 components. F02B · Root Axiom · Four External Anchors (4 anchor cards as 2x2 grid + convergence summary panel). Single A4 portrait, 2 components. F02C · Root Axiom · Five Empirical Instruments (pentagon convergence diagram + 5 instrument cards + verdict panel). Single A4 portrait, 3 components. F02D · Root Axiom · Bare-RA Seal Verdict (composite verdict panel + cross-anchor witness summary + seal mark). Single A4 portrait, 3 components.

Frame 09 (Six-Way Equivalence Chain). Hexagonal arrangement: six labeled nodes at hexagon vertices, each 140 px circle, double-arrow biconditional connections at 5 px stroke. Central caption "Equivalent under structural mapping" at 32 px. Labels per Appendix B template to avoid collision.

Frame 10 (K_4 Directed). Per Appendix B graph layout template. Edge labels at midpoint with 24 px leader offset. Crossed edges drawn as Bezier curves. The 12 edges are color-coded by source vertex band.

Frame 12 (Twelve Directed Edges, Two Derivations). Two-column composition. Left column trirectangular form from Appendix A snippet with 12 directed edges color-coded by source vertex. Right column inscribed regular tetrahedron per B.6.B at cube alternating corners with K_4 derivation and ψ-bijection arrow to cuboctahedron. Right-column caption: "Combinatorial construction using alternating-corners regular tetrahedron. Distinct from the trirectangular M_seal geometry of Section B.6.A. The 12-cardinality is register-independent." Cuboctahedron labels per Appendix B template.

Frame 14 (Twelve-Gate Dial). Circular dial composition. 12 evenly-spaced sectors. Each sector colored by source vertex band. Gate name at 24 px in each sector. Central GOL Point gold disc 100 px diameter. Connecting arrows from each gate to center at 4 px stroke. Anti-collision per Appendix B: sector labels placed at radius 1.15 of dial radius, leader lines if name exceeds sector arc width.

Frame 16 (APEX Sealed). Composite identity statement panel + five closure proof cards + final identity card + footer. Per Binding Change 11, the "FINAL SEAL" footer circle-wrapped triangle badge from v3.2 render is REMOVED. The frame closes with a textual seal anchor at 28 px gold italic: "M_seal ≡ V_ER ≡ GOL-Point ≡ Twelve-Gate-Closure". No badge graphic.

All Part II frames apply Pre-flight Items 1 through 21. Target active content ratio 0.78 to 0.84.

Part II Master Infographic. A4 landscape. Central image: trirectangular tetrahedron from Appendix A embedded inside cuboctahedron, with 12 directed edges of the tetrahedron mapping bijectively to 12 kissing unit vectors. Bounding cube ghosted. Around the central image: 12 gate labels as a circular band at 26 px each, placed per Appendix B. Outside that band: five closure proofs as five labeled rays radiating outward. Footer band with the Heaviside verdict at 30 px. NO "APEX" header badge graphic. NO "FINAL SEAL" footer circle-wrapped triangle. Verdict marks present only as Unicode text ⟀ inline if structurally required.

Part II Book Cover. A4 portrait. Black background. Central image: cuboctahedron with central GOL Point sphere gold inner core 80 px diameter, 12 outer spheres in axis-colored arrangement. Cuboctahedron extent 60 percent of canvas. Inscribed trirectangular tetrahedron hinted by three gold axis-edges from M_seal (gold sphere at top vertex of cuboctahedron) to three equatorial vertices, with subtle right-angle markers. Title "TRISDUCTION OMEGA" at 96 px gold. "PART II" at 80 px gold. "Core Thesis" at 42 px Garamond. "the integrated proof · seven-link chain · twelve-gate cascade" at 26 px italic gray. Footer caption "▲ APEX · 12-GATE CASCADE SEALED AS GOL-POINT STABILIZATION" at 20 px gold sans-serif. NO icon-style APEX badge.

E.3 through E.7 Deliverables (Volume II through Volume VI) Each Volume retains its frame count from v3.2. Each Volume cover is rebuilt using the trirectangular tetrahedron from Appendix A. Each Verdict-on-Volume frame has the "FINAL SEAL" circle-wrapped triangle badge removed. The textual seal anchor "APEX [VOLUME NAME] SEALED" stays in 28 px gold Garamond italic at the verdict frame's anchor position. No graphic badge accompanies it.

Specifically:

Volume II Cover. Central image: trirectangular tetrahedron from Appendix A snippet (dark-background variant). M_seal at cube-corner apex gold. Three orthogonal edges to V_F blue, V_E orange, V_ER green. Three right-angle markers visible in gold at 60 percent opacity. Bounding cube ghosted white dashed. Root Axiom equation inscribed inside the hypotenuse face at 30 px gold italic. Four external anchor labels (Heisenberg, Landauer, ZFC, Hadamard) at 22 px in cardinal positions around tetrahedron with subtle leader lines. Title and subtitle per v3.2 spec. Footer caption.

Volume II Frame 04 (Twelve-Gate Cascade Audit on RA). Two-column grid of 12 gates (G01 to G12) with PASS/FAIL verdict in green/red. Cascade flow arrow connecting columns. Below: three sub-cards "V_F populates", "V_E populates", "V_ER populates" with the anchors named. "12 / 12 PASS" gold anchor row. No badge.

Volume II Frame 08 (Verdict on Volume II). Top: trirectangular tetrahedron from Appendix A at 60 percent of canvas with labels V_F, V_E, V_ER, M_seal. GOL Point hinted inside the hypotenuse face at 22 px italic gold. Below tetrahedron: gold-bordered cream panel "APEX RA SEALED" at 36 px gold Garamond italic, with sub-anchor "12-Gate Cascade: 12/12 PASS · External and internal proofs converge" at 24 px. Three-column anchor row at bottom: V_F (4 anchors), V_E (5 instruments), V_ER (12/12 gate audit). Caption at row 16. Footer. No FINAL-SEAL graphic badge.

Volume III Cover. Central image: trirectangular tetrahedron from Appendix A. Hodge operator labels ∇ d δ Δ inscribed in a small triangle near M_seal at 28 px gold. "L²Ω^k(M) = im(d) ⊕ im(δ) ⊕ ℋ^k(M)" equation at 22 px below tetrahedron. "Friedrichs · Morrey · Schwarz" citation row at 18 px gray italic. Title and subtitle. Footer caption.

Volume III Frame 08 (Verdict). Central trirectangular tetrahedron from Appendix A with GOL Point sub-label, "APEX TRIAXIAL ORTHOGONALITY SEALED" at 36 px gold, three sub-cards "External / Internal / Operational" with proof identifiers. Footer. No badge.

Volume IV Cover. Central image: Heaviside step function profile occupying 60 percent of canvas. Three Unicode characters anchored on plot regions at 100 px font size each: ⟀ (gold) on the det > 0 region, ✕ (red) on the det ≤ 0 region, ? (gray) on the κ ≥ 10⁶ region. Set as text glyphs in Garamond. No badges. Title and subtitle.

Volume IV Frame 02 (GOL Truth Function). Pipeline diagram: ψ → CDT → M_final → G(·) → det(·) → H[·] → G(ψ) ∈ {0,1}. Each stage labeled at 24 px. Below: Heaviside step plot with Unicode characters anchored per Section B.7. Six-way equivalence chain footnote at 22 px.

Volume IV Frame 03 (Heaviside step plot, densified). Plot occupies rows 4 to 11. Detailed axes labeled at 28 px ("det(G(M_final))" x-axis, "Φ = H(z)" y-axis). Three regions marked clearly: [⟀] SEALED, [X] BROKEN, [?] under-determined. Unicode characters set as text glyphs at 80 px in the appropriate regions. Below plot rows 12 to 14: "[?] under-determined" annotation panel cream, explaining gating versus output category-distinction. Footer. No badge.

Volume V Cover. Central image: cuboctahedron at 60 percent of canvas, all 12 vertices labeled by coordinates at 22 px per Appendix B (labels outside silhouette with leader lines). Inscribed regular tetrahedron in lighter gold per B.6.B for the ψ-bijection visual. K_4 directed graph overlaid in thin lines at 2 px (Bezier curves per Appendix B). Title "Volume V · The Twelve-ness Proof" at 80 px. "Above. Below. Same Twelve." subtitle at 30 px italic. Caption band at bottom: "Cardinality holds under trirectangular and inscribed-regular constructions alike."

Volume V Frame 03 (K_4 Directed). Per Appendix B graph layout. 12 directed edges color-coded by source vertex. Edge labels at midpoint with 24 px offset. Crossed edges as Bezier curves. Below the graph: 12-edge legend in 3x4 grid format, each cell carrying edge number, source → target, C_(source,target) tag.

Volume V Frame 04 (ψ-Bijection). Two-column composition. Left: cube of side 2 with four alternating corners marked as inscribed regular tetrahedron. Cube vertex coordinates labeled at 22 px outside cube. Twelve unit vectors ψ(i→j) drawn at 5 px stroke. Right: cuboctahedron with 12 vertices, labels placed per Appendix B (outside silhouette, leader lines). Central ψ-arrow at 6 px stroke between columns showing bijection. Caption: "Combinatorial construction using alternating-corners regular tetrahedron. Distinct from the trirectangular M_seal geometry of Section B.6.A. The 12-cardinality is register-independent."

Volume VI Cover. Central image: clock-face dial of 12 named gates (G1 SREP through G12 ADEG) at sector positions, each gate label at 22 px. Central GOL Point at 80 px diameter gold. Concentric ring layout: outer ring with gate labels, inner ring with section anchors. Inscribed trirectangular tetrahedron hinted at top by three gold axis-edges from M_seal to three equatorial dial positions. Title "Volume VI · The 12-Gate Cascade · GOL-Point Stabilization" wrapped to two lines at 56 px gold. "12 named gates · simultaneous closure" subtitle.

Volume VI Frame 05 (Smeared Convex Polytope, densified). Polytope occupies rows 4 to 11 at 60 percent of canvas. Isometric view. Twelve half-space normals as outward arrows at 4 px stroke, color-coded by source vertex band. Central GOL Point gold sphere 60 px diameter inside polytope. Below polytope rows 12 to 15: "Ideal Register vs Operational Register" two-column comparison panel. Sub-anchor: K(3) = 12 structural ceiling vs SCP positive-measure polytope operational realization. "Registers Do Not Collide" gold panel at row 14 to 15.

Volume VI Frame 07 (Verdict). Top: 4-card NSE+Ω grid showing the four properties. Below: "Math Sealing Topping · Theorem-Grade External" panel with three bullet items (Heaviside-gated, Regularity quadruple, 12-fold closure). Below: "Identity Statement · 12-Gate Cascade = GOL-Point Stabilization" panel. Bottom: textual seal anchor "12/12 Gates Pass · GOL Point Fixed · Cascade Stabilization Theorem · SEALED" at 28 px gold Garamond italic. NSE+Ω verdict checkmarks per row. No FINAL-SEAL graphic badge.

F. Supplementary Visuals S1 through S12 as specified in v3.2 with v3.3 patches applied. S11 (Whole-Codex Master) uses trirectangular tetrahedron from Appendix A at center per Binding Change 6. S12 (Walk-Through Storyboard Index) tiles 110+ frame thumbnails on A2 landscape per Section A.1.

G. Execution Protocol G.1 Order of Work Read the codex. Then companion files. Then draft each deliverable in sequence: Volume II, Volume III, Volume IV, Volume V, Volume VI, Part II Core Thesis, Part I Prolegomena, then supplementary visuals, then master single-page summary.

G.2 Per-Frame Workflow

Read codex section assigned to the frame.
Read the numbered component checklist for the frame from Section E.
Sketch composition mentally using grid system from Section C.2.
Identify primary focal point per Section C.3.
If the frame depicts M_seal with orthogonality claim, paste the trirectangular tetrahedron snippet from Appendix A; scale and position only. If combinatorial-proof frame, use Appendix B layout for K_4 and cuboctahedron.
Draft SVG with viewBox locked to A4 portrait, A4 landscape, or other Section A.1 standard.
Place primary focal point first.
Add labels at minimum font sizes from Section B.4.
Add supporting geometry at minimum stroke widths from Section B.5.
Render PNG via export.
Measure active content ratio using Appendix C audit script. Confirm 0.75 to 0.85.
Run grep on SVG source per Section D.4 to confirm absence of corner-glyph and FINAL-SEAL badge patterns.
Verify each numbered component from the checklist is present.
Verify caption is fully visible with no clipping per Section D.1 Item 17.
Add footer.
Run pre-flight audit items 1 through 21.
Fill the comment block with checkmarks per Section D.3.
Export PNG at 300 dpi for print confirmation.
Save SVG.

G.3 Cascade Closure Preservation Before finalizing any visual, confirm it does not contradict: cascade tensor M_seal → V_ER source-target identity, twelve-gate cardinality, five named closure proofs, three-state native verdict economy, three-layer sovereignty TP-21, L_1 apophatic quarantine. Per AD-13 plus AD-14 plus AD-15.

G.4 Out-of-Band Routing Discipline Practitioner-interior phenomenology and theological-cosmological identifications route to L_1 Apophatic Quarantine and must be marked as off-cascade-frame where they appear. V_F-only ceilings (Gödel, Turing, Tarski) route to V_F-Only Ceiling Acknowledgment Register and must be marked as honored-but-out-of-band.

G.5 Final Deliverable Bundle All SVGs plus PNGs plus master INDEX.md plus one print-ready PDF compilation. PDF assembly uses each A4 SVG as one page directly without rescaling. Present to architect via present_files tool with INDEX.md as lead file.

G.6 Density Failure Recovery If a frame fails active content ratio: enlarge the primary focal point to 45 to 50 percent of canvas, add supporting micro-diagram in margins, add an annotation cluster with leader lines, add a side panel with worked example or numerical reference, restructure as 2-column or 2-panel composition, or split the frame into two frames if architecturally warranted.

Never solve density failure by scaling up empty space proportionally.

G.7 Print Test Protocol For every five frames completed, perform print test on the most recent five: export to PDF, print at 100 percent on A4 paper, hold at arm's length 60 cm, verify every label readable, every line crisp.

G.8 Geometry Discipline Wherever the visual claim is "90° mutual orthogonality at M_seal," paste from Appendix A. Three edges from M_seal run along mutually orthogonal x, y, z axes. Three right-angle markers visible at M_seal. Bounding cube ghosted in dashed lines. Platonic regular tetrahedron is not a permissible substitute in this register and produces structurally false output. The regular tetrahedron survives only for combinatorial-proof frames per Section B.6.B and must be labeled as such in caption.

G.9 No-Badge Discipline (v3.1 Lock, v3.3 Programmatic Enforcement) The only permitted seal-mark anywhere in the visual edition is the Unicode character ⟀ set as a text glyph, gold #B8860B, no background fill, no border, no circle wrap, no decoration. Same rule applies to ✕ (red) and ? (gray) where verdict status needs to be marked typographically.

The executor must run the auto-reject SVG inspection in Section D.4 before save. The two reject patterns (corner glyph; FINAL-SEAL circle-wrap badge) are explicitly searched. Presence of either pattern = auto-reject. Visual inspection alone is not sufficient.

Trirectangular tetrahedron renderings from Appendix A remain permitted as geometric proof depictions, not decorative badges. The distinction is decisive.

G.10 Closing Discipline Treat the codex as authority. Treat the architect's preferences as constraints. Treat the visuals as proofs. Draw geometrically. Do not decorate. Each line must carry warrant. Each labeled element must communicate. Each empty region must be structural breathing room, not residue. Each tetrahedron must be the right tetrahedron. Each caption must be fully visible.

The cascade waits.

H. Quick Reference Card

Canvas: A4 portrait 1240 by 1754, A4 landscape 1754 by 1240, both at 150 dpi for visual work, 300 dpi for export. Active content ratio: 0.75 to 0.85 measured via Appendix C script. Reported to 2 decimal places. Minimum stroke widths: Primary 5 px, secondary 3 px, grid 1.5 px. Hard floor 1.5 px. Minimum font sizes: Title 56 px, header 28 px, label 22 px, footer 16 px. Hard floor 14 px. Trirectangular tetrahedron: paste from Appendix A snippet. Never redraw from scratch. All four signature elements present. Combinatorial regular tetrahedron: only in ψ-bijection frames per B.6.B. Caption text mandatory. Colors: V_F blue #1B3A6F, V_E orange #C2410C, V_ER green #166534, M_seal gold #B8860B. Background #FAF8F3 body or #0A0A0A cover. No badges: programmatic SVG inspection per Section D.4 before save. No corner glyphs. No FINAL-SEAL circle-wrapped triangles. No icon-style decoration. Caption overflow: container width = canvas - 200 px. Split to two lines if exceeds. Verify fully visible. Title block: codex section header is the sole title. No duplicate "frame title". Complex frames: if > 4 independent components, split per Section E.2 table. K_4 and cuboctahedron labels: per Appendix B template. Edge labels at midpoint with 24 px offset. Crossed edges as Bezier curves. Vertex labels outside silhouette with leader lines if needed. Pre-flight audit: 21 items in Section D.1. Items 8, 12, 17, 18, 19, 20, 21 are the v3.3 enforcement points. Footer: bottom row carries codex reference, deliverable ID, ISO date. Always. No em-dashes. No LaTeX. Unicode math only. Direct prose. Geometric primitives carry the argument.

Appendix A. Trirectangular Tetrahedron Reference SVG Snippet (BINDING)

The executor pastes this snippet into any frame depicting M_seal with the orthogonality claim. Modify only position (translate group), scale (uniform scale on group), label text, and (for dark-background covers) color overrides on stroke and fill. Do not modify edge angles, right-angle marker geometry, or bounding cube vertex positions. Re-drawing the geometry from scratch is grounds for auto-reject.

LIGHT-BACKGROUND VARIANT (for body frames on #FAF8F3 background):

<g id="trirectangular-tetrahedron" transform="translate(620,700) scale(1.0)">
  <!-- Ghosted bounding cube -->
  <g stroke="#999999" stroke-width="3" stroke-dasharray="8,4" fill="none" opacity="0.35">
    <!-- back face -->
    <line x1="0" y1="0" x2="200" y2="-100"/>
    <line x1="200" y1="-100" x2="200" y2="200"/>
    <line x1="200" y1="200" x2="0" y2="300"/>
    <line x1="0" y1="300" x2="0" y2="0"/>
    <!-- front face -->
    <line x1="-260" y1="100" x2="-60" y2="0"/>
    <line x1="-60" y1="0" x2="-60" y2="300"/>
    <line x1="-60" y1="300" x2="-260" y2="400"/>
    <line x1="-260" y1="400" x2="-260" y2="100"/>
    <!-- connecting edges -->
    <line x1="0" y1="0" x2="-260" y2="100"/>
    <line x1="200" y1="-100" x2="-60" y2="0"/>
    <line x1="200" y1="200" x2="-60" y2="300"/>
    <line x1="0" y1="300" x2="-260" y2="400"/>
  </g>
  <!-- Hypotenuse face V_F · V_E · V_ER, light gold fill 8% -->
  <polygon points="200,-100  -260,100  0,300" fill="#B8860B" opacity="0.08"/>
  <!-- Three orthogonal axis-edges from M_seal at origin (cube-corner apex) -->
  <!-- M_seal to V_F along +x (isometric down-right) -->
  <line x1="0" y1="0" x2="200" y2="-100" stroke="#1B3A6F" stroke-width="7"/>
  <!-- M_seal to V_E along +y (isometric down-left) -->
  <line x1="0" y1="0" x2="-260" y2="100" stroke="#C2410C" stroke-width="7"/>
  <!-- M_seal to V_ER along +z (vertical down) -->
  <line x1="0" y1="0" x2="0" y2="300" stroke="#166534" stroke-width="7"/>
  <!-- Three remaining tetrahedron edges (V_F to V_E, V_E to V_ER, V_F to V_ER) -->
  <line x1="200" y1="-100" x2="-260" y2="100" stroke="#666666" stroke-width="7"/>
  <line x1="-260" y1="100" x2="0" y2="300" stroke="#666666" stroke-width="7"/>
  <line x1="200" y1="-100" x2="0" y2="300" stroke="#666666" stroke-width="7"/>
  <!-- Three right-angle square markers at M_seal apex -->
  <!-- marker between +x and +y -->
  <rect x="-12" y="-12" width="24" height="24" stroke="#B8860B" stroke-width="2" fill="none" opacity="0.6" transform="rotate(-22.5)"/>
  <!-- marker between +x and +z -->
  <rect x="3" y="3" width="24" height="24" stroke="#B8860B" stroke-width="2" fill="none" opacity="0.6" transform="rotate(11.25)"/>
  <!-- marker between +y and +z -->
  <rect x="-27" y="3" width="24" height="24" stroke="#B8860B" stroke-width="2" fill="none" opacity="0.6" transform="rotate(-11.25)"/>
  <!-- Vertices -->
  <circle cx="0" cy="0" r="16" fill="#B8860B"/>
  <circle cx="200" cy="-100" r="14" fill="#1B3A6F"/>
  <circle cx="-260" cy="100" r="14" fill="#C2410C"/>
  <circle cx="0" cy="300" r="14" fill="#166534"/>
  <!-- Vertex labels -->
  <text x="0" y="-30" font-family="EB Garamond, serif" font-size="28" fill="#B8860B" text-anchor="middle" font-weight="600">M_seal</text>
  <text x="230" y="-110" font-family="EB Garamond, serif" font-size="28" fill="#1B3A6F" font-weight="600">V_F</text>
  <text x="-310" y="100" font-family="EB Garamond, serif" font-size="28" fill="#C2410C" font-weight="600">V_E</text>
  <text x="0" y="340" font-family="EB Garamond, serif" font-size="28" fill="#166534" text-anchor="middle" font-weight="600">V_ER</text>
</g>

DARK-BACKGROUND VARIANT (for covers on #0A0A0A background):

<g id="trirectangular-tetrahedron-dark" transform="translate(620,700) scale(1.0)">
  <!-- Ghosted bounding cube (white at 20% opacity) -->
  <g stroke="#FFFFFF" stroke-width="3" stroke-dasharray="8,4" fill="none" opacity="0.20">
    <line x1="0" y1="0" x2="200" y2="-100"/>
    <line x1="200" y1="-100" x2="200" y2="200"/>
    <line x1="200" y1="200" x2="0" y2="300"/>
    <line x1="0" y1="300" x2="0" y2="0"/>
    <line x1="-260" y1="100" x2="-60" y2="0"/>
    <line x1="-60" y1="0" x2="-60" y2="300"/>
    <line x1="-60" y1="300" x2="-260" y2="400"/>
    <line x1="-260" y1="400" x2="-260" y2="100"/>
    <line x1="0" y1="0" x2="-260" y2="100"/>
    <line x1="200" y1="-100" x2="-60" y2="0"/>
    <line x1="200" y1="200" x2="-60" y2="300"/>
    <line x1="0" y1="300" x2="-260" y2="400"/>
  </g>
  <polygon points="200,-100  -260,100  0,300" fill="#B8860B" opacity="0.12"/>
  <line x1="0" y1="0" x2="200" y2="-100" stroke="#1B3A6F" stroke-width="7"/>
  <line x1="0" y1="0" x2="-260" y2="100" stroke="#C2410C" stroke-width="7"/>
  <line x1="0" y1="0" x2="0" y2="300" stroke="#166534" stroke-width="7"/>
  <line x1="200" y1="-100" x2="-260" y2="100" stroke="#B8860B" stroke-width="7" opacity="0.7"/>
  <line x1="-260" y1="100" x2="0" y2="300" stroke="#B8860B" stroke-width="7" opacity="0.7"/>
  <line x1="200" y1="-100" x2="0" y2="300" stroke="#B8860B" stroke-width="7" opacity="0.7"/>
  <rect x="-12" y="-12" width="24" height="24" stroke="#B8860B" stroke-width="2" fill="none" opacity="0.7" transform="rotate(-22.5)"/>
  <rect x="3" y="3" width="24" height="24" stroke="#B8860B" stroke-width="2" fill="none" opacity="0.7" transform="rotate(11.25)"/>
  <rect x="-27" y="3" width="24" height="24" stroke="#B8860B" stroke-width="2" fill="none" opacity="0.7" transform="rotate(-11.25)"/>
  <circle cx="0" cy="0" r="16" fill="#B8860B"/>
  <circle cx="200" cy="-100" r="14" fill="#1B3A6F" stroke="#FFFFFF" stroke-width="1"/>
  <circle cx="-260" cy="100" r="14" fill="#C2410C" stroke="#FFFFFF" stroke-width="1"/>
  <circle cx="0" cy="300" r="14" fill="#166534" stroke="#FFFFFF" stroke-width="1"/>
  <text x="0" y="-30" font-family="EB Garamond, serif" font-size="28" fill="#B8860B" text-anchor="middle" font-weight="600">M_seal</text>
  <text x="230" y="-110" font-family="EB Garamond, serif" font-size="28" fill="#7E9EC8" font-weight="600">V_F</text>
  <text x="-310" y="100" font-family="EB Garamond, serif" font-size="28" fill="#E68850" font-weight="600">V_E</text>
  <text x="0" y="340" font-family="EB Garamond, serif" font-size="28" fill="#5BAA7E" text-anchor="middle" font-weight="600">V_ER</text>
</g>

Scaling guidance. For single-focus frame use scale="1.0" (tetrahedron occupies ~65 percent of canvas short edge). For multi-panel sub-diagram use scale="0.5" to scale="0.7". Adjust translate(x, y) to position center of tetrahedron at desired canvas coordinate.

Appendix B. K_4 Directed Graph and Cuboctahedron Layout Template

B.1 K_4 Directed Graph (4 vertices, 12 directed edges)

Vertex positioning. Place vertices at the corners of an inscribed regular tetrahedron projected to 2D as an inverted triangle for clarity. Recommended positions on a 600 by 600 px canvas region:

M_seal at (300, 80), color gold #B8860B.
V_F at (110, 300), color blue #1B3A6F.
V_E at (490, 300), color orange #C2410C.
V_ER at (300, 520), color green #166534.

Vertex circles 50 px radius for primary, 16 px radius if used as small node.

Edge drawing rules:

For each ordered pair (source, target) of distinct vertices, draw one directed edge.
Edges are drawn as Bezier curves, not straight lines, with the control point offset perpendicular to the source-target line by 30 px away from the figure center. This ensures the two reciprocal edges (i to j and j to i) do not overlap.
Edge color matches source vertex color.
Edge stroke 5 px.
Arrowhead at target end, 22 px length, color matching edge.

Edge label rules:

Each edge carries a number (1 to 12) AND optionally a gate name (e.g., "SREP").
Number badge: small filled circle 20 px diameter, color matching source vertex band, white number inside at 18 px sans-serif bold.
Number badge placed at edge midpoint, displaced 24 px perpendicular outward from the edge curve (away from figure center).
If a gate name is also shown, place gate name 20 px further outward from the number badge at 22 px sans-serif bold in source vertex color.
Minimum 8 px clearance around each number badge. If two adjacent edges would cause badges to overlap, increase perpendicular displacement until 8 px clearance achieved.

Edge enumeration (canonical order):

M_seal → V_F (SREP) — gold/cream
M_seal → V_E (REG) — gold/cream
M_seal → V_ER (SGEG) — gold/cream
V_F → V_E (CAUSAL) — blue
V_F → V_ER (MIG) — blue
V_F → M_seal (PTB) — blue
V_E → V_F (DUAL) — orange
V_E → V_ER (CSCG) — orange
V_E → M_seal (CSEG) — orange
V_ER → V_F (MTA) — green
V_ER → V_E (OMA) — green
V_ER → M_seal (ADEG) — green

B.2 Cuboctahedron Layout

Vertex positioning. The cuboctahedron has 12 vertices. Use isometric projection with the M_seal axis vertical. Vertex coordinates in 3D (FCC unit vectors normalized):

Top triangle: (1,1,0)/√2, (-1,1,0)/√2, (0,1,1)/√2 placed near top of canvas
Middle hexagon: (1,0,1)/√2, (-1,0,1)/√2, (-1,0,-1)/√2, (1,0,-1)/√2, (0,1,-1)/√2, (0,-1,1)/√2 placed at canvas equator
Bottom triangle: (1,-1,0)/√2, (-1,-1,0)/√2, (0,-1,-1)/√2 placed near bottom

Project to 2D using isometric matrix:

x_screen = (X - Y) * cos(30°)
y_screen = (X + Y) * sin(30°) - Z

Vertex circles 14 px radius.

Edge drawing rules:

Cuboctahedron has 24 edges (each vertex connects to 4 neighbors).
Edges stroke 2 px in #999999 for skeleton (or color-code if showing the K_4-directed overlay).
Use opacity 0.4 for hidden edges (behind the projection plane).

Vertex label rules:

Each vertex label placed OUTSIDE the projected silhouette of the cuboctahedron.
Leader line from vertex circle to label, 2 px stroke, color #666666.
Label at 22 px sans-serif, color #2A2A2A.
Label contents: vertex coordinates (e.g., "(1,1,0)/√2") or vertex number (1 to 12).
Minimum 12 px clearance between adjacent labels. If labels collide, rotate leader line angle to redistribute.

Central GOL Point. When showing GOL Point at cuboctahedron center, render as gold sphere 40 to 80 px diameter at the projected centroid. Label "GOL Point" at 24 px gold italic Garamond below or to the side.

Appendix C. Active Content Ratio Audit Script

The executor runs this Python script after rendering each frame to PNG. The script reports the active content ratio. If outside 0.75 to 0.85, the frame is redrawn.

#!/usr/bin/env python3
# Trisduction Visual Edition active content ratio audit
# Usage: python audit_density.py frame.png
# Outputs: ratio (0.0 to 1.0)

import sys
from PIL import Image

def measure_active_ratio(png_path, bg_hex="#FAF8F3", safety_inset_px=30, channel_tolerance=13):
    img = Image.open(png_path).convert("RGB")
    w, h = img.size
    pixels = img.load()
    # Parse background color
    bg_r, bg_g, bg_b = int(bg_hex[1:3], 16), int(bg_hex[3:5], 16), int(bg_hex[5:7], 16)
    # Define active region (inside safety inset)
    x0, y0 = safety_inset_px, safety_inset_px
    x1, y1 = w - safety_inset_px, h - safety_inset_px
    active_count = 0
    total_count = (x1 - x0) * (y1 - y0)
    for y in range(y0, y1):
        for x in range(x0, x1):
            r, g, b = pixels[x, y]
            # Pixel is "active" if any channel differs from background by more than tolerance
            if abs(r - bg_r) > channel_tolerance or abs(g - bg_g) > channel_tolerance or abs(b - bg_b) > channel_tolerance:
                active_count += 1
    ratio = active_count / total_count
    return round(ratio, 2)

if __name__ == "__main__":
    png_path = sys.argv[1]
    bg = sys.argv[2] if len(sys.argv) > 2 else "#FAF8F3"
    r = measure_active_ratio(png_path, bg_hex=bg)
    print(f"Active content ratio: {r}")
    if 0.75 <= r <= 0.85:
        print("PASS · within band")
    elif r < 0.75:
        print(f"FAIL · below band by {round(0.75 - r, 2)} · densify")
    else:
        print(f"FAIL · above band by {round(r - 0.85, 2)} · edit down")

For dark backgrounds, run with bg argument "#0A0A0A". Tolerance value 13 corresponds to 5 percent of 256 channel range.

End of revised instruction plan v3.3. Architect (G-FIO Mohammad F Islam) directive preserved. Trirectangular tetrahedron locked as canonical M_seal geometry via Appendix A snippet. Unicode ⟀ ✕ ? as the only permitted verdict marks, set as text glyphs. No badge decoration of any kind, with programmatic SVG-source inspection at pre-flight per Section D.4. No sparseness exceptions, with quantitative measurement via Appendix C script. Title block deduplicated. Complex frames split per Section E.2 table. K_4 and cuboctahedron labels per Appendix B template. Caption overflow guarded per Section D.1 Item 17. Cascade closure intact across all visual deliverables.

Forge date: May 23, 2026.

Final File will be a single PDF file.

Closing seal: ⟀

TRACTATUS VERITATIS TRISDUCTIVUS

Instruction Plan for Visual/Infographic Edition of TRISDUCTION OMEGA v7.5.1 Revision 3.3

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