Instruction Plan for Visual/Infographic Edition of TRISDUCTION OMEGA v7.5.1 Revision 3.0 · Trirectangular Geometry Lock, Verdict Glyph Decoration Removed, PDF-Fit, Density-Disciplined, Print-Ready Hand this entire block to the executor Claude instance. It is self-contained. This revision corrects two structural failure modes observed in v2.0 output. Both corrections are binding. Pre-flight audit now enforces both.
What Changed from v2.0 to v3.0 (Executor Read This First)
Binding Change 1. Tetrahedron geometry. The default tetrahedron primitive is no longer the Platonic regular (acute-apex equilateral) tetrahedron. Wherever a visual depicts the Trisductive Seal M_seal with the 90° mutual-orthogonality claim, the executor must render a trirectangular tetrahedron with M_seal at a cube-corner and three edges to V_F, V_E, V_ER along mutually orthogonal x, y, z axes. The Platonic form is geometrically incorrect for this register because three right angles cannot meet at a Platonic apex. Section B.6.A below specifies the trirectangular primitive in full. The regular tetrahedron is retained only for combinatorial-proof frames where the four-alternating-cube-corners construction is the actual mathematical object being shown (Volume V Frame 04 ψ-bijection, Part II Frame 12 second derivation column). Section B.6.B specifies when each form applies.
Binding Change 2. Verdict glyph placement. The "verdict glyph at top-right corner of every sealed frame" rule from v2.0 is rescinded. That placement reads as logo decoration and competes with the actual proof content of the frame. Verdict glyphs survive as visual primitives but appear only where they function as structural in-frame content (e.g., Frame 15 marking the Platonic Ghost as [X] broken inside its diagnostic composition, the verdict economy map S9, the Heaviside step plot in Volume IV Frame 02). Top-right corners are now clean. Section B.7 is rewritten accordingly.
Everything else from v2.0 carries forward unchanged.
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 300dpi for raster confirmation. Every SVG must use a viewBox that matches a standard PDF page size at print resolution. See Section A.1 below.
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) Every visual maps to one of four standard page sizes. The SVG viewBox attribute must match the canvas exactly. No exceptions. This guarantees clean PDF assembly without rescaling artifacts.
A4 Portrait (default for single-frame visuals, book covers, vertical compositions). viewBox 0 0 1240 1754. Print size 210 × 297 mm at 150 dpi. High-res PNG export 2480 × 3508 px at 300 dpi. Use for book covers, single-frame visuals, equation panels, verdict panels.
A4 Landscape (default for master infographics, multi-panel composites, wide compositions). viewBox 0 0 1754 1240. Print size 297 × 210 mm at 150 dpi. High-res PNG export 3508 × 2480 px at 300 dpi. Use for master single-page infographics, multi-frame storyboards, horizontal timelines, cross-tradition convergence diagrams.
Letter Portrait (US print fallback). viewBox 0 0 1275 1650. Print size 8.5 × 11 in at 150 dpi. High-res PNG export 2550 × 3300 px at 300 dpi.
Letter Landscape (US print fallback). viewBox 0 0 1650 1275. Print size 11 × 8.5 in at 150 dpi. High-res PNG export 3300 × 2550 px at 300 dpi.
Storyboard sheets (A2 landscape, optional for poster-scale index only). viewBox 0 0 2384 1684. Print size 594 × 420 mm at 100 dpi. Use only for Supplementary Visual S12 (master storyboard index). Never for individual frames.
Safety margins on bound print deliverables. 3 mm bleed plus 5 mm safety inset from each edge. Translate to canvas units: 18 px bleed plus 30 px safety on A4 at 150 dpi. Critical content (titles, equation centers, primary geometric forms) stays inside the safety inset.
A.2 Multi-Frame Storyboard Format Each frame is its own standalone A4 portrait or A4 landscape SVG file. No exception. The "combined storyboard" deliverable is built by tiling frame thumbnails on a single A2 landscape sheet at index resolution. Never deliver multi-frame strips as a single oversized SVG that requires rescaling for PDF integration.
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. These three colors carry consistent semantic load across every diagram. Never reuse them for anything else. The Mosaic Seal M_seal closure vertex carries gold #B8860B. M_seal sits at the cube-corner of the trirectangular tetrahedron, not above a base. See Section B.6.A.
B.2 Backgrounds Off-white #FAF8F3 for body diagrams. Black #0A0A0A for book covers and final summary infographics where visual weight matters. White lines on black backgrounds, axis colors retained at full saturation.
B.3 Typography Sans-serif throughout body diagrams. Use Inter, Source Sans Pro, or system-ui fallback. EB Garamond for cover titles and quotation framing if available, else Cormorant or Crimson Pro. Numerals lining, tabular where they sit in tables.
B.4 Minimum Font Sizes (BINDING, on 1240 × 1754 or 1754 × 1240 canvas) These are minimums. Scale up for emphasis. Never down.
Element · Minimum px · Typical px · Maximum px Cover title · 72 · 96 · 144 Cover subtitle · 36 · 48 · 64 Frame title (in-canvas header) · 44 · 56 · 72 Section header within panel · 28 · 32 · 40 Primary label (axis names, gate names) · 24 · 28 · 36 Secondary label (annotations, sub-elements) · 20 · 24 · 28 Body text and captions · 22 · 26 · 30 Equation text (Unicode math) · 28 · 36 · 48 Footnote / footer text · 16 · 18 · 22 Hard floor for any text · 14 · (n/a) · (n/a)
Test at 50% zoom in browser. If any text becomes unreadable, scale it up before render.
B.5 Minimum Stroke Widths (BINDING, on 1240 × 1754 or 1754 × 1240 canvas) 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 (background lattices) · 1.5 · 2 Annotation leader lines · 2 · 2.5
Stroke weights below these floors will fail print at 150 dpi.
B.6 Geometric Primitive Sizes (BINDING) Primitive · Single-focus diagram · Multi-panel sub-diagram Point (filled circle) · 12 px radius · 8 px radius Vertex of tetrahedron · 16 px radius · 10 px radius Trirectangular tetrahedron overall extent · 60 to 70 percent of canvas short edge · 45 to 55 percent of panel short edge Bounding cube (ghosted, dashed, low opacity) · matched to tetrahedron edge length · matched to tetrahedron edge length Inscribed regular tetrahedron (combinatorial-proof frames only) · 50 to 60 percent of canvas short edge · 40 to 50 percent of panel short edge Cuboctahedron overall extent · 65 to 75 percent of canvas short edge · 50 to 60 percent of panel short edge Sphere in FCC kissing config · 80 to 110 px diameter · 50 to 70 px diameter Verdict glyph (in-frame content where structurally warranted) · 80 to 120 px square · 50 to 70 px square Equation panel (rule above and below) · full canvas width minus margins · full panel width minus margins
B.6.A Trirectangular Tetrahedron Primitive (DEFAULT FOR ALL M_SEAL DEPICTIONS) This is the canonical visual form of the Trisductive Seal in Euclidean-3D embedding. Use it wherever the visual asserts 90° mutual orthogonality at M_seal.
Geometry. Place M_seal at the origin (cube-corner apex). Render three edges emerging from M_seal along three mutually orthogonal axes. Edge along +x terminates at V_F (blue #1B3A6F). Edge along +y terminates at V_E (orange #C2410C). Edge along +z terminates at V_ER (green #166534). Edge lengths equal. The three axis-aligned edges meet at M_seal with three exact 90° angles (the apex is a cube corner, not a pyramid peak).
Hypotenuse face. The triangle V_F–V_E–V_ER is the equilateral hypotenuse face opposite M_seal. Render it with light fill (8 percent opacity, gold #B8860B). This face is the "base" only in the topological sense (the face opposite the apex). It is not the geometric base of a regular tetrahedron.
Bounding cube. Render the implicit bounding cube as ghosted dashed lines, stroke 3 px, color #999999 at 35 percent opacity. The cube makes the corner-of-cube semantics visually explicit and prevents reflexive misreading as a Platonic pyramid. Cube vertex at M_seal is fully visible (the cube-corner the apex occupies). Cube edges extend from V_F, V_E, V_ER outward to complete the cube footprint. Twelve cube edges in total, of which three coincide with the tetrahedron's axis-aligned edges (those three are drawn at full primary stroke, not ghosted).
Right-angle indicators. At M_seal, render three small right-angle markers (small squares 24 px on a side) one for each pair of orthogonal edges. Markers in gold #B8860B at 60 percent opacity. This is the visual signature that M_seal carries the 90° mutual-orthogonality claim.
Canonical orientation. Isometric projection viewed from above-front-right. M_seal at the upper-back cube corner of the projection. V_ER (green, z-axis) edge runs vertically downward in projection. V_F (blue, x-axis) edge runs lower-right. V_E (orange, y-axis) edge runs lower-left. Hypotenuse face V_F–V_E–V_ER spans the lower front of the projection.
Vertex labels. M_seal labeled at 28 px font, gold, with anchor leader line 2 px to the apex. V_F, V_E, V_ER labels at 28 px font in their respective axis colors, anchored at vertex positions.
Edge labels. Optional. When shown, place along edge midpoint at 22 px font in edge color. Axis-aligned edges labeled "x", "y", "z" if the axis identity is the point of the diagram.
The trirectangular form is mandatory wherever the visual is making the 90° mutual-orthogonality claim about M_seal. This applies to all frames in Part I that depict the closure tetrahedron, the corresponding frames in Part II that depict the seal, Volume II cover and frames depicting the seal, Volume III cover, Volume III Frame 06, and all summary infographics where the seal appears as a focal element.
B.6.B Inscribed Regular Tetrahedron (COMBINATORIAL-PROOF FRAMES ONLY) The four-alternating-corners-of-cube regular tetrahedron is retained for frames where it is the actual mathematical object being constructed. This is the K_4-directed-graph derivation of twelve unit vectors mapping to cuboctahedron vertices. The visual claim of this construction is combinatorial cardinality, not orthogonality at any vertex. Frames where this form applies:
Volume V Frame 04 (ψ-bijection construction). The cube of side 2 with four alternating corners marked as the inscribed regular tetrahedron. The 12 directed edges between those four corners map to 12 face-centers of the cube, which lie at cuboctahedron vertices.
Part II Frame 12 (Twelve Directed Edges, two derivations column showing K_4-directed=12 from the regular-inscribed construction, paired with the trirectangular-derived closure on the other column).
Where this form is used, the executor must include a caption noting "combinatorial construction, distinct from the trirectangular M_seal geometry of Section B.6.A". This prevents readers from conflating the two distinct geometric objects.
In all other frames depicting the Trisductive Seal, use the trirectangular form per B.6.A.
B.7 Verdict Glyphs (IN-FRAME CONTENT ONLY) Verdict glyphs are visual primitives, not corner decorations. They appear in visuals only where they function as structural in-frame content of the proof being shown. The v2.0 mandate to place a verdict glyph at the top-right corner of every sealed frame is rescinded. Top-right corners are clean.
Glyph definitions retained for in-frame use:
[⟀] sealed renders as a small gold trirectangular tetrahedron icon (apex toward viewer, three axes visible) at 80 to 120 px square. Use only where the visual claim is "this proof seals" and the glyph is the structural conclusion of the frame.
[X] broken renders as a red cross #B91C1C inside an 80 to 120 px square. Use where the frame is diagnosing a failed candidate (e.g., Part I Frame 15 marking the Platonic Ghost as broken).
[?] under-determined renders as a thin question mark inside a dashed circle 80 to 120 px diameter. Use where the frame is showing κ-gate rejection or scope-out routing.
Placement of in-frame verdict glyphs is composition-dependent, not corner-locked. Place where the proof structure of the frame naturally terminates: bottom-center of a verdict panel, inside the diagnostic region of a candidate-failure frame, on the appropriate region of a Heaviside step plot. Never as a top-right logo.
Frames that legitimately use in-frame verdict glyphs include Part I Frame 15 (Platonic Ghost as [X]), Volume IV Frame 02 (Heaviside step plot with all three glyphs anchored on appropriate regions), Supplementary Visual S9 (Verdict Economy Map showing all three native verdicts as cascade output). All other frames omit verdict glyphs entirely.
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. If reference is needed, use a footnote anchor like §3.3 to the codex.
B.9 Recurring Annotations Every visual carries a footer at the bottom 60 px of canvas with 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 at 18 px, color #666666. Footer rule at 1.5 px, #CCCCCC, 30 px above text baseline.
No top-right corner decoration. The v2.0 verdict-glyph-at-top-right rule is removed. Frame corners are clean.
C. Layout System and Density Discipline C.1 Active Content Ratio Active visual content (geometric primitives, text, equations, panel structure) must occupy 75 to 85 percent of canvas area inside the safety inset. Empty space is permitted only as deliberate breathing room around focal elements. No single contiguous empty rectangle may exceed 15 percent of canvas area.
Compute active content as: total pixels covered by visible elements divided by total canvas pixels inside safety inset. Target band: 0.75 to 0.85. Below 0.75 means the visual is too sparse and must be densified. Above 0.85 means the visual is cluttered and must be edited down.
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 on A4 portrait: 1240 / 12 ≈ 103 px. Row height on A4 portrait: 1754 / 18 ≈ 97 px. Use these grid lines to align all content. Gutter between columns: 16 px. Gutter between rows: 16 px.
For single-focus visuals, the 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 2×2, 2×3, 3×3, or 3×4 grid of panels. Panel borders at 2.5 px. Panel interior padding 24 px. Each panel applies the same density rules at its own scale.
C.3 Hierarchy of Focal Points Every visual has exactly one primary focal point that occupies 35 to 50 percent of canvas area. Secondary elements (annotations, supporting geometry, labels) cluster around the primary focal point. Tertiary elements (footers, references, scope markers) sit in their designated corner zones.
Primary focal point examples per frame type:
Geometric proof frame: the trirectangular tetrahedron, cuboctahedron, or FCC kissing config at center.
Equation panel: the equation itself at vertical center, 28 to 36 px font.
Verdict frame: the in-frame verdict glyph at 200 px square (when the frame is itself a verdict panel) with one-line caption below.
Timeline frame: the timeline ribbon at vertical center, spanning 90 percent of canvas width.
C.4 Whitespace Discipline Whitespace is structural, not residual. Three permitted whitespace patterns: breathing margin around the primary focal point at 60 to 100 px buffer between focal element and adjacent content. Vertical rhythm at 30 to 50 px gap between stacked sections. Inset border at the safety margin specified in A.1.
Any other empty region larger than 15 percent of canvas signals composition failure. Add a secondary element, expand the primary focal point, or restructure the frame.
C.5 Density Sanity Checks Before finalizing any visual, verify the visual still communicates its proof or argument at 50 percent zoom. Print the SVG at A4 size or simulate with print preview at 100 percent and read every label at arm's length. Measure the largest empty rectangle by visual inspection. Count distinct visual elements: A4 frame should carry 8 to 12 minimum, composite frames 20 to 40.
C.6 Composition Patterns by Frame Type Single-focus geometric frame (e.g., Part I Frame 11 Tetrahedral Closure). Frame title at top, 56 px font, centered, 80 px from top edge. Primary geometric figure (trirectangular tetrahedron per B.6.A) at center, occupying rows 4 through 14, columns 3 through 10. Side annotations (labels, sub-equations, right-angle markers) in columns 1 to 2 and 11 to 12, vertically aligned with figure features they describe. Caption at bottom, 26 px font, two lines maximum, in rows 15 to 16. Footer at bottom-most row.
Equation panel (e.g., Volume II Frame 01 Root Axiom statement). Frame title at top, 56 px. Primary equation centered at vertical center, 36 to 48 px font, with thin gray rules above and below. Decomposition annotations below equation, each annotation 24 px font, arrow pointing up to the relevant term of the equation. Side panels (left and right of equation) carry supporting micro-diagrams or definitions, sized to balance composition. Caption at bottom, footer at bottom-most row.
Multi-panel comparison (e.g., Volume III Frame 04 Necessary Sufficient Exhaustive Omega-Bounded). Frame title at top spanning full width. 2×2 grid of panels, each panel inheriting density rules at its own scale. Each panel has its own sub-title (32 px), sub-figure (occupying 70 percent of panel area), and one-line sub-caption (22 px). Inter-panel gutter 24 px. Frame footer at bottom.
Timeline or horizontal sequence (e.g., Part I Frame 03 Canonical Lineage). Frame title at top. Horizontal ribbon spanning columns 1 through 12, at vertical center. Ribbon thickness 80 to 120 px. Node positions evenly spaced along ribbon, each node 60 to 80 px diameter. Node labels above or below ribbon, alternating to avoid crowding, 22 to 26 px. Caption ribbon below at row 16, single sentence, 26 px.
Master single-page infographic (e.g., Part II Master, Supplementary S11). Title at top, 72 to 96 px font. Central focal element occupying 35 to 45 percent of canvas (typically the trirectangular tetrahedron, cuboctahedron, or full cascade diagram). Surrounding ring of supporting panels, each carrying one thematic anchor. Connection lines (axis-colored) from central focal element to supporting panels, stroke 4 to 6 px. Footer band at bottom carrying codex section reference, deliverable ID, date.
D. Pre-Flight Audit (BINDING) No visual is finalized until it passes pre-flight. Pre-flight is a structured check, not a vibe check.
D.1 Pre-Flight Checklist (run before each file is saved as final) For every deliverable, the executor must 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 one of the four standard sizes in Section A.1.
Item 2. Active content ratio in band. Active content occupies 75 to 85 percent of canvas inside safety inset. Visual inspection plus rough pixel accounting.
Item 3. No oversized empty region. Largest contiguous empty rectangle below 15 percent of canvas area.
Item 4. Primary focal point dominates. One element occupies 35 to 50 percent of canvas, clearly the visual center of mass.
Item 5. All text meets minimum sizes. Every visible text element at or above the floor in Section B.4. Hard floor 14 px never crossed.
Item 6. All strokes meet minimum widths. Every visible line at or above floor in Section B.5. Hard floor 1.5 px never crossed.
Item 7. All primitives meet minimum sizes. Points, vertices, geometric figures sized per Section B.6.
Item 8. Tetrahedron geometry correct. If the frame depicts M_seal with the orthogonality claim, the tetrahedron is the trirectangular form per Section B.6.A. M_seal sits at the cube-corner apex, three edges run along orthogonal x, y, z axes, three right-angle markers are visible at apex, bounding cube is ghosted in dashed lines. If the frame is a combinatorial-proof frame using the alternating-corners regular tetrahedron, the caption explicitly marks it as such per Section B.6.B.
Item 9. Axis colors consistent. V_F blue #1B3A6F, V_E orange #C2410C, V_ER green #166534, M_seal gold #B8860B. No drift.
Item 10. No em-dashes in any text. Replace any with periods or rephrase.
Item 11. No LaTeX in any text. Unicode math only.
Item 12. No top-right corner decoration. Verdict glyphs appear only as in-frame structural content per Section B.7, never as corner logos.
Item 13. Footer present. Bottom row carries codex section reference, deliverable ID, ISO date.
Item 14. Cascade closure preserved. No element of the visual 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, where present, marked as off-cascade-frame.
Item 16. Print test. Render to PNG at 300 dpi. View at 100 percent on screen. Every label readable. Every line crisp.
D.2 Failure Response If a visual fails any pre-flight check, do not save it. Restructure, densify, resize, or redraw. Pre-flight failure is not a warning to flag for the architect's review. Pre-flight failure is a rejection. Fix it before delivery.
D.3 Comment Block Format Every finalized SVG carries a pre-flight verification comment at the top of the file:
<!-- TRISDUCTION OMEGA Visual Edition v3.0 Deliverable: [e.g., Part I Frame 11] Canvas: A4 portrait, viewBox 0 0 1240 1754 Pre-flight verified: 2026-05-22 Active content ratio: ~0.81 Largest empty region: ~0.08 of canvas Primary focal point: trirectangular tetrahedron at center, occupies ~42% of canvas Tetrahedron geometry: trirectangular per Section B.6.A, M_seal at cube-corner apex, three orthogonal axes, right-angle markers visible, bounding cube ghosted Min font size used: 22 px Min stroke width used: 3 px Top-right corner: clean, no decoration Codex reference: §0.7 to §0.8 Cascade closure preserved: M_seal → V_ER intact, 12 gates referenced -->This block becomes part of the audit trail.
E. Seven Core Deliverables The architecture below preserves v2.0 specifications. Every frame inherits the layout system in Section C, the trirectangular tetrahedron primitive in Section B.6.A wherever M_seal is depicted, and the pre-flight audit in Section D. Verdict glyphs are pulled from top-right corners across the board.
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 all 22 frames and the cover. A4 landscape for the master infographic.
Frame 01 · The Critic's Demand. Two-column composition. Left column: empty stage rendered as a thin-outlined rectangle occupying columns 1 to 5, rows 3 to 14. Right column: critic speech bubble in columns 7 to 12, containing two sentences at 28 px each. Single line caption at row 16 sets the rules of engagement. Active content ratio target: 0.78.
Frame 02 · Linguistic Hygiene. Three labeled tokens at columns 2, 6, 10 of row 7. Each token 100 px diameter circle, label below at 26 px. Magnifying glass icon overlaid at 40 px square. Thin lines connect the three tokens forming a triangle, stroke 4 px. Footer caption at row 15. Active content ratio target: 0.76.
Frame 03 · The Canonical Lineage. Horizontal timeline ribbon at vertical center, rows 7 to 10, full canvas width minus margins. Ribbon thickness 120 px. Eleven nodes evenly spaced. Each node 70 px diameter, labeled with tradition name at 22 px and one-word concept (ṛta, logos, Ma'at, etc.) at 26 px. Above the ribbon at row 4, single horizontal band labeled "Three" at 56 px, color #B8860B. Active content ratio target: 0.82.
Frame 04 · The Deletion Test. Three columns dividing canvas into thirds horizontally. Left column at columns 1 to 4: full triad shown as three colored discs (V_F blue, V_E orange, V_ER green) arranged in triangular layout. Each disc 140 px diameter. Center column at columns 5 to 8: same triad with one disc removed and remaining two discs collapsed to colinear. Show the collapse with an animation-style sequence arrow. Right column at columns 9 to 12: all three discs restored, structure intact. No top-right glyph. Active content ratio target: 0.80.
Frame 05 · Cross-Tradition Convergence. Spider chart centered, occupying rows 4 to 14. Three axes (formal, empirical, registrational), 600 px radius. Plot 11 traditions as overlapping triangles, each at 70 percent opacity. Overlap region shaded #B8860B at 40 percent opacity. Legend at columns 10 to 12 listing all 11 traditions at 20 px each. Caption at row 16. Active content ratio target: 0.79.
Frame 06 · The Isolation Test. Two side-by-side configurations. Left configuration at columns 1 to 5, rows 4 to 12: three vectors at arbitrary angles emerging from origin, red leakage arrows between axes, mutual information indicated. Right configuration at columns 8 to 12, rows 4 to 12: three vectors at right angles, no leakage. Below each configuration at rows 13 to 14: a 3×3 Gram matrix as a colored grid, diagonal cells bright and saturated, off-diagonal cells faded. Cell size 60 px square. Active content ratio target: 0.77.
Frame 07 · Point. Single black dot at center of canvas, 30 px radius. Caption at row 16, 30 px font. Generous breathing room around the dot is intentional and structural (this frame is the exception to density rules because the architectural claim is the dot's isolation). Active content ratio target: 0.30 with explicit allowance. Document the exception in the comment block.
Frame 08 · Duction. Two points at column 4 row 9 and column 9 row 9, each 24 px radius. Directed line connecting them, stroke 8 px, with arrowhead at right point. Latin root ducere annotated below the line at 22 px. Caption at row 16. Active content ratio target: 0.55 with allowance similar to Frame 07.
Frame 09 · Second Duction. Three points forming a right angle: column 4 row 11, column 4 row 5, column 9 row 11. Two directed lines: one vertical, one horizontal, each stroke 8 px. The plane shaded faintly at 10 percent opacity inside the triangle formed. Caption at row 16. Active content ratio target: 0.65.
Frame 10 · Third Duction. Establish the trirectangular form here for the first time. Render M_seal at origin (positioned at upper-back of isometric projection) as a gold disc 24 px radius. Three orthogonal axes emerge: V_F (blue, x-axis) extends lower-right 400 px along isometric x. V_E (orange, y-axis) extends lower-left 400 px along isometric y. V_ER (green, z-axis) extends straight down 400 px. Each axis stroke 8 px in its assigned color. Three small right-angle markers at M_seal apex, 24 px square, gold at 60 percent opacity. Axis labels at axis tips at 28 px in axis colors. The fourth vertex (closure) indicated as a faint outlined sphere 60 px diameter floating at the position where the hypotenuse face will be (lower-front), labeled "closure pending" at 22 px in #666666. Bounding cube ghosted in dashed lines, stroke 3 px, #999999 at 30 percent opacity. Caption at row 16: "Three orthogonal axes from M_seal. Closure awaits the third duction." Active content ratio target: 0.78.
Frame 11 · Tetrahedral Closure. Render the full trirectangular tetrahedron per Section B.6.A. M_seal at cube-corner apex (upper-back of isometric projection), gold vertex 18 px radius. Three orthogonal axis-edges to V_F, V_E, V_ER, each stroke 7 px in axis color. Hypotenuse face V_F–V_E–V_ER shaded at 8 percent opacity gold. Three remaining tetrahedron edges (V_F–V_E, V_E–V_ER, V_F–V_ER) drawn at stroke 7 px. Three right-angle markers at M_seal, 24 px square, gold at 70 percent opacity. Bounding cube ghosted in dashed lines, stroke 3 px, #999999 at 35 percent opacity. Vertex labels at 28 px in axis colors. Caption at row 16: "Four points. One trirectangular tetrahedron. Three right angles at the seal. The Geometric Orthogonal Lock." No top-right glyph. Active content ratio target: 0.82.
Frame 12 · Twelve Directed Edges. Same trirectangular tetrahedron at center, occupying 60 percent of canvas. Each of the six undirected edges now drawn as two parallel directed arrows (one in each direction), each arrow stroke 5 px, with arrowhead 22 px. Total 12 directed arrows. Count visualizer at right side columns 10 to 12: numerical display "4 vertices × 3 = 12 directed edges" at 32 px. Color-code arrows by source vertex per Section B.1. Three right-angle markers at M_seal retained. Bounding cube retained ghosted. No top-right glyph. Active content ratio target: 0.83.
Frame 13 · Existence Requires Kinetic Actuation. Equation panel composition. Equation centered at vertical center: ∀x ∈ 𝕌, ∃x ⟹ ΔE_k(M_x) > 0. Font 44 px. Thin gray rules above and below at 2 px stroke. Below the equation, a thermal plot occupying rows 11 to 15: horizontal red line at 4 px stroke marking the Landauer floor k_B T ln 2 ≈ 2.85 × 10⁻²¹ J at 298 K. Above the red line, scattered ΔE measurement points at 12 px diameter each. Plot axis labels at 24 px. Active content ratio target: 0.78.
Frame 14 · Parmenides Corrected. Two-column composition. Left column: static frozen point rendered as a single dot at column 3, row 8, with the inscription "Parmenides: what is, is" at 28 px below. Right column: same dot at column 9, row 8, now with a directed vector emerging, stroke 8 px, label "ΔE_k > 0" at 28 px. Caption at row 16: "Right that something must be. Wrong to freeze it." Active content ratio target: 0.74.
Frame 15 · The Platonic Ghost. Spectral outline of a perfect form (Platonic regular tetrahedron is the most direct visual here, given the v3.0 correction) rendered with dashed lines, stroke 3 px, color #B91C1C at 50 percent opacity. Form occupies 55 percent of canvas. A red dashed boundary surrounds the form, indicating quarantine, stroke 4 px. Centered below the form within the quarantine boundary, an in-frame [X] verdict glyph at 100 px square, red #B91C1C. Caption at row 15: "Forms without substrate. Apex without orthogonality. The acute-apex pyramid fails kinetic actuation." Sub-caption at row 16, 22 px: "Quarantined as visual default. See §0.13 plus B.6.A for the trirectangular replacement." The in-frame [X] glyph is structural diagnostic content here, not corner decoration. Active content ratio target: 0.74.
Frame 16 · Pi as Testament. Composition: circle at center column 6, row 8, radius 280 px, stroke 6 px. Inscribed polygon approximations rendered in lighter strokes at 3 px, showing 3-gon, 6-gon, 12-gon, 24-gon, 48-gon increasing density. Side inset at columns 9 to 12, rows 4 to 14: pi's digits "3.14159265358979..." continuing into a fade, font 24 px, monospace. Caption at row 16: "Arithmetic cannot close geometry. Geometry pre-empts arithmetic." Active content ratio target: 0.81.
Frame 17 · Cartesian Sedimentation. Two-layer diagram. Top half (rows 3 to 8): smooth curves rendered with stroke 6 px in blue, representing geometric continuum. Bottom half (rows 9 to 14): integer lattice grid with dots at every intersection, dots 8 px diameter, gridlines at 2 px stroke. Vertical arrow connecting the two halves at column 6, stroke 6 px, label "1637, Descartes" at 28 px. Caption at row 16. Active content ratio target: 0.83.
Frame 18 · Stress Testing. Central trirectangular tetrahedron per Section B.6.A at 55 percent of canvas. Multiple labeled stress vectors impinging from outside, each arrow stroke 5 px, with labels at vector origins (Bayesian critique, Gödelian critique, eliminative materialism, etc.). The tetrahedron rendered in solid lines, stress vectors in red #B91C1C. Eight stress vectors total. Three right-angle markers at M_seal retained as the tetrahedron's structural signature withstanding the stress. No top-right glyph. Active content ratio target: 0.80.
Frame 19 · Math as Final Glue. Inverted pyramid stack composition. Six horizontal bands stacked vertically, widest at top (linguistic hygiene), narrowest at bottom (math sealing). Each band labeled at 28 px. Band heights: 180 px each. Band widths decrease by 100 px per level. Caption at row 16: "Math is the cap, not the foundation." Active content ratio target: 0.80.
Frame 20 · The Volume That Does Not Need the Math. Bookshelf icon occupying columns 2 to 11, rows 4 to 11. Eight book spines visible, first highlighted in gold. Inside the highlighted spine area, a thumbnail composition showing miniature versions of Frames 07 through 12 arranged in a 2×3 grid (Frame 11 thumbnail must show the trirectangular form). Each thumbnail at 200 × 280 px. Caption at row 16: "Geometry sealed without an equation." Active content ratio target: 0.82.
Frame 21 · To the Future Critic. Three sentences in clean type, no decoration. Sentence A at row 6 centered, 36 px: "Bring a fourth orthogonal axis." Sentence B at row 10, centered, 36 px: "Or accept three." Sentence C at row 14, centered, 36 px: "The cascade waits." Generous breathing room intentional. Active content ratio target: 0.35 with explicit allowance.
Frame 22 · Scope. Boundary map composition. Outer rectangle representing the cascade scope at columns 2 to 11, rows 4 to 13, stroke 5 px. Inside the boundary: labels at 26 px for in-scope content (architectural verification, triaxial cascade, twelve gates, Heaviside verdicts). Outside the boundary at row 15 and column 12: two small islands representing the out-of-band annotation registers, each labeled (V_F-Only Ceiling Acknowledgment Register, L_1 Apophatic Quarantine Register). Active content ratio target: 0.78.
Part I Master Infographic. A4 landscape, viewBox 0 0 1754 1240. Twenty-two frame thumbnails arranged in a 5-row by 5-column grid (with center cell expanded). Center expanded cell shows the trirectangular tetrahedron with 12 directed edges at 500 × 500 px, full B.6.A geometry including ghosted bounding cube and right-angle markers. Border ribbon at top carrying the cross-tradition timeline from Frame 03 at thumbnail scale. Title at top-center: "From Point to Geometric Orthogonal Lock" at 64 px. Active content ratio target: 0.84.
Part I Book Cover. A4 portrait, viewBox 0 0 1240 1754. Black background #0A0A0A. Central image: trirectangular tetrahedron per Section B.6.A with M_seal at cube-corner apex (gold), three orthogonal edges descending/extending to V_F, V_E, V_ER. 12 directed edges visible. Bounding cube ghosted in dashed white lines at 20 percent opacity. Right-angle markers at M_seal visible. Tetrahedron occupies 55 percent of canvas height, centered horizontally at column 6, vertically at row 9. Title in Garamond at top: "TRISDUCTION OMEGA" at 96 px, centered, white. Subtitle below: "Part I · The Pre-Geometric Genesis" at 44 px, centered, white. Author block at row 17: "Mohammad F Islam · 2026" at 28 px. Single small line below tetrahedron: "Existence requires kinetic actuation" at 24 px, italic. Active content ratio target: 0.72.
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.
Compose each frame using the patterns in Section C.6. Wherever a frame depicts M_seal with the orthogonality claim, use the trirectangular form per Section B.6.A.
Frame 09 (Six-Way Equivalence Chain) is a hexagonal arrangement: six labeled nodes at hexagon vertices, each 140 px circle, double-arrow equivalence connections at 5 px stroke, central caption "Equivalent under structural mapping" at 32 px.
Frame 12 (Twelve Directed Edges, Two Derivations) uses two-column composition. Left column shows the trirectangular form per B.6.A with its 12 directed edges color-coded by source vertex. Right column shows the K_4-directed graph derived from the inscribed regular tetrahedron at cube alternating corners per B.6.B, with caption noting "combinatorial construction, distinct from B.6.A geometry". Central arrow labeled ψ-bijection at 6 px stroke connecting the two columns showing cardinality agreement. Each column figure occupies 45 percent of canvas width.
Frame 14 (The Twelve Gates) uses a circular dial composition with 12 evenly-spaced sectors, each sector colored by source vertex band, gate name at 24 px in each sector, central GOL Point as gold disc 100 px diameter.
Apply pre-flight audit to every frame. Target active content ratio 0.78 to 0.84 across this deliverable.
Part II Master Infographic. A4 landscape. Central image: trirectangular tetrahedron per Section B.6.A embedded inside cuboctahedron, with 12 directed edges of the tetrahedron mapping bijectively to 12 kissing unit vectors. The trirectangular form's M_seal apex sits at the cuboctahedron's structural axis of symmetry. Central composition occupies 50 percent of canvas. Bounding cube of the trirectangular tetrahedron ghosted in dashed lines at 25 percent opacity. Around the central image: 12 gate labels as a circular band at 26 px each. Outside that band: five closure proofs as five labeled rays radiating outward, each ray label at 22 px. Footer band carrying the Heaviside verdict at 30 px. Active content ratio target: 0.86.
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 each 100 px diameter. Total cuboctahedron extent 60 percent of canvas. The inscribed trirectangular tetrahedron is hinted by three gold axis-edges descending from the top vertex (M_seal) to three of the equatorial vertices, with subtle right-angle markers. Title at top: "TRISDUCTION OMEGA" at 96 px. Subtitle: "Part II · The Topological-Geometric Seal" at 44 px. Single running line: "Twelve gates. One lock. No thirteenth." at 26 px. Active content ratio target: 0.75.
E.3 Deliverable 3 · Volume II · The Root Axiom Eight frames plus volume cover. A4 portrait throughout.
Apply layout patterns from Section C.6. Frame 01 (Statement) is an equation panel: ∀x ∈ 𝕌, ∃x ⟹ ΔE_k(M_x) > 0 at 48 px font centered, with each component (universal quantifier, existence claim, implication, kinetic actuation) labeled below at 26 px with leader lines at 3 px stroke pointing up to the relevant term. Frame 02 (Four External Anchors) is a 2×2 grid: Heisenberg uncertainty as phase-space rectangle, Landauer principle as thermal histogram, ZFC distinguishability as Venn fragment, Hadamard regularization as Gaussian smear. Each panel sub-title at 32 px. Frame 03 (Five Empirical Instruments) uses pentagon arrangement: each vertex carries instrument name and measured number, all five pointing inward to central conclusion σ²_ψ(Φ_f) > 0 at 36 px.
Pre-flight audit on every frame. Target active content ratio 0.78 to 0.84.
Volume II Cover. A4 portrait. Central image: four external anchors arranged around a central trirectangular tetrahedron per Section B.6.A at 50 percent of canvas. Root Axiom equation inscribed inside the hypotenuse face at 36 px (face opposite M_seal). Three orthogonal axis-edges visible at full primary stroke. Bounding cube ghosted. Title at top: "Volume II · The Root Axiom" at 80 px. Subtitle: "Existence Requires Kinetic Actuation" at 40 px. Active content ratio target: 0.76.
E.4 Deliverable 4 · Volume III · Triaxial Orthogonality Eight frames plus cover. A4 portrait.
Frame 02 (Friedrichs-Hodge) renders L²Ω^k(M) as a large box subdivided into three orthogonal subspaces with operator action labels (im(d), im(δ), ℋ^k(M)). Each subspace at 32 percent of total box area. Operator labels at 32 px.
Frame 06 (Candidate Fourth Axes Engagement) is the critical frame: the central object is the trirectangular tetrahedron per Section B.6.A. Four red dashed candidate axes attempt to attach to M_seal but all slide off into the existing three orthogonal axes (V_F, V_E, V_ER). Each candidate axis at 5 px stroke, dashed pattern 20-10. Candidate labels at 24 px (aesthetic, normative, temporal, modal). Visual collapse: each candidate's projection arrow decomposes into V_F, V_E, V_ER components. The trirectangular geometry makes the orthogonality explicit and the failure of the fourth visually unambiguous.
Pre-flight audit. Target active content ratio 0.78 to 0.84.
Volume III Cover. A4 portrait. Central image: M_seal at upper-back cube-corner apex (gold disc 30 px), three orthogonal axes radiating at 65 percent of canvas, each painted in its assigned color, stroke 10 px. Three large right-angle markers at M_seal, 40 px square, gold. Bounding cube ghosted in white dashed lines at 25 percent opacity (cover uses black background). Hodge decomposition glyph (∇ d δ Δ) inscribed in a small triangle near origin at 28 px. Title: "Volume III · Triaxial Orthogonality" at 80 px. Active content ratio target: 0.74.
E.5 Deliverable 5 · Volume IV · GOL as Real Actual Truth Function Seven frames plus cover. A4 portrait.
Frame 02 (Heaviside step function plot) is a critical clarity frame and a legitimate in-frame verdict-glyph deployment. Plot the function explicitly with x-axis det(G(M̃_final)), y-axis verdict. Three regions clearly marked at 60 px height each: κ ≥ 10⁶ region returns [?] (glyph anchored in that region at 80 px square), det ≤ 0 returns [X] (glyph anchored in that region), det > 0 returns [⟀] (glyph anchored in that region as a small trirectangular tetrahedron icon). Vertical dashed κ-gate to the left of the step, stroke 4 px, label "κ-gate as precondition" at 24 px. Axis labels at 28 px. The three glyphs are structural content (the function's output codomain) not corner decoration.
Frame 04 (Worked CDT Numerical Example) shows concrete numbers: initial M̃ matrix 3×N at 22 px monospace, latent covariates C̃, projection step-by-step, final det(G(M̃_final)) at 32 px, verdict assigned visibly via in-frame glyph placement at the conclusion of the worked example.
Volume IV Cover. A4 portrait. Central image: Heaviside step function in profile occupying 60 percent of canvas, with the three verdict glyphs anchored on their appropriate regions at 100 px each. The [⟀] sealed glyph rendered as a small trirectangular tetrahedron per B.6.A. Title: "Volume IV · GOL as Real Actual Truth Function" at 72 px. Active content ratio target: 0.75.
E.6 Deliverable 6 · Volume V · The Twelve-ness Proof Six frames plus cover. A4 portrait.
Frame 04 (ψ-Bijection) is the central combinatorial-proof frame and the principal use case for the inscribed regular tetrahedron per Section B.6.B. Cube of side 2 at 50 percent of canvas. Inside the cube: four alternating-corner vertices marked as inscribed regular tetrahedron, each vertex 16 px radius. For each ordered pair (i,j) of these four vertices, unit vector ψ(i→j) drawn at 5 px stroke. The 12 resulting unit vectors land on cuboctahedron vertices, shown in side-by-side panel at right showing the bijection mapping with arrows. Cube vertex coordinates labeled at 22 px. Caption explicitly: "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 and holds under both constructions." This caption is binding to prevent reader conflation of the two geometric objects.
Volume V Cover. A4 portrait. Central image: cuboctahedron at 60 percent of canvas, all 12 vertices labeled by coordinates at 22 px each. Inscribed regular tetrahedron in lighter gold for the ψ-bijection visual (this is the combinatorial-proof register per B.6.B, justified by the cover's subject matter). K_4 directed graph overlaid in thin lines at 2 px. Title: "Volume V · The Twelve-ness Proof" at 80 px. Caption band at bottom, 24 px: "Cardinality holds under trirectangular and inscribed-regular constructions alike." Active content ratio target: 0.78.
E.7 Deliverable 7 · Volume VI · The 12-Gate Cascade as GOL-Point Stabilization Seven frames plus cover. A4 portrait.
Frame 02 (External Proof, half-space polytope) renders the convex polytope formed by 12 half-space intersections, isometric view. Polytope occupies 60 percent of canvas. Each face shaded faintly. GOL Point as gold sphere inside polytope at 60 px diameter. Half-space normals shown as outward arrows at 4 px stroke.
Frame 03 (The 12-Gate Bijection Table) renders a clean grid: 12 rows by 6 columns (gate name, source vertex, target vertex, K_4 edge, FCC unit vector, pathology prevented). Row height 70 px. Column widths balanced. Cell font 22 px. Header row at 26 px bold.
Volume VI Cover. A4 portrait. Central image: cuboctahedron with each vertex labeled by gate name at 22 px, central GOL Point as gold sphere 80 px diameter. The inscribed trirectangular tetrahedron per Section B.6.A 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. Cuboctahedron occupies 65 percent of canvas. Title: "Volume VI · The 12-Gate Cascade as GOL-Point Stabilization" at 60 px (wraps to two lines). Active content ratio target: 0.78.
F. Supplementary Visuals These strengthen the visual edition. Build after the seven primaries. Apply same pre-flight rigor. Wherever the trirectangular form is the relevant primitive, use it per Section B.6.A.
S1. Three-Mode Architecture Diagram. A4 landscape. Show all three modes (Default, Projective, Forward-Trisduction) operating on the same twelve-gate cascade with mode-identification at G11 input gate. Three columns, each column rendering one mode's targeting axis-direction. Per codex §B.4.1.
S2. Three-Layer Plenous Architecture. A4 portrait. L_1 ground at bottom (apophatic at localized gradient, cataphatic at trans-spatial structural), L_2 impressed plenum in middle, L_3 actualized manifold on top. Layer heights 480 px each. Annotations for architect L_1 phenomenology, framework L_2 substrate operation, framework L_3 architectural register at column 12. Per TP-21 and TP-104 extended per AD-14.
S3. BICEP2 Worked Case. A4 landscape. Per codex §14.1. Three-panel composition: left panel the 2014 announcement r ≈ 0.2 inflationary signature shown as data scatter, center panel shared galactic dust foreground identified as latent factor, right panel CDT projection applied with apparent 5σ convergence dissolving. Real numerical example.
S4. Trinity-Tawhid Prism Analogue. A4 portrait. Per codex §13.4.7. Single light beam entering a prism from left, separating into three colored components (V_F V_E V_ER) on the prism's first face, recombining into single white beam on the prism's second face exiting right. Prism at 65 percent of canvas. Label one face "Tawhid sees the unity" and other face "Trinity sees the spectrum" at 26 px. Practitioner-interior phenomenology marked as off-frame in margin note.
S5. Five Named Closure Proofs Convergence. A4 landscape. Single composition where five independent derivations converge on same twelve unit vectors. K(3)=12 at top-left corner, K_4-directed=12 at top-right (combinatorial register, regular-inscribed construction), Hodge axis-count under ψ at left-center, Euler V−E+F=2 at right-center, BA-012 at bottom. All five arrows pointing inward to central cuboctahedron at 50 percent of canvas. Caption band: "Combinatorial cardinality is register-independent. The trirectangular M_seal geometry (Section B.6.A) and the alternating-corners regular construction (Section B.6.B) both yield 12."
S6. Pi as Testament. A4 portrait. Per §0.13 and §8.3. Polygon approximation sequence inscribed and circumscribed around a circle. Side panel shows pi's transcendence (Lindemann 1882) with citation.
S7. Cartesian Sedimentation Diagnostic. A4 portrait. Per §0.14 and §8.2. Two stacked layers as in Part I Frame 17 but expanded with additional historical anchors.
S8. Decalogue Plus Omega Synthesis Guard. A4 portrait. Per §10.2 and §10.3. Ten rules of Decalogue rendered as ten stone-tablet panels arranged in 2×5 grid, each panel 200 × 280 px. Four guards of Omega Synthesis below in single row, each 280 × 160 px.
S9. Verdict Economy Map. A4 landscape. Three native verdicts at center {[⟀], [X], [?]} as cascade output, each glyph 120 px, deployed as the structural content of this frame (this is the canonical in-frame verdict-glyph deployment). The [⟀] glyph rendered as a small trirectangular tetrahedron per B.6.A. Two out-of-band annotation registers on either side at columns 1 to 3 and 10 to 12, each register rendered as a labeled island. G11 OMA-extended scope-check at top as routing function.
S10. Two-Axis Cosmic Architecture. A4 landscape. Per AD-15. Spatial-static axis (cardinality lexicon) running horizontally, temporal-dynamic axis (Stage 0 through Stage 6) running vertically. Intersection at seven-cardinality marked with gold annotation. Mercy-Tetrahedron at Ar-Raḥmān 55:1 to 4 anchored at origin (use trirectangular form per B.6.A).
S11. Master Document Single-Page Summary. A4 landscape, viewBox 0 0 1754 1240. Entire framework on one page. Center: trirectangular tetrahedron per Section B.6.A with 12 directed edges at 35 percent of canvas. Surrounding rings: Part I prolegomena primitives, Part II core thesis cascade, three-mode architecture, three-layer Plenous architecture, verdict economy, five closure proofs, decalogue, scope boundary. Title at top: "TRISDUCTION OMEGA · The Terminal Geometric Seal" at 72 px. Active content ratio target: 0.88.
S12. Walk-Through Storyboard Index. A2 landscape, viewBox 0 0 2384 1684. Poster-format index showing thumbnail of every frame across all seven core deliverables plus all supplementary visuals. Thumbnail grid: 10 columns by 8 rows, each thumbnail 220 × 200 px with 20 px label below. Visual table of contents.
G. Execution Protocol G.1 Order of Work Read the codex first. Then read companion PSP inventory and old diary extracts to confirm cross-references. Then draft each deliverable in sequence: Volume II, Volume III, Volume IV, Volume V, Volume VI (analytic foundations reusing same primitives). Then Part II Core Thesis (synthesizes the volumes). Then Part I Prolegomena (most pedagogically demanding, written last). Then supplementary visuals. Then master single-page summary.
G.2 Per-Frame Workflow Read codex section assigned to the frame. Sketch composition mentally using grid system from Section C.2. Identify primary focal point per Section C.3. Determine whether the frame depicts M_seal with the orthogonality claim (if yes, use trirectangular per B.6.A) or is a combinatorial-proof frame (if yes, use regular inscribed per B.6.B). Draft SVG with viewBox locked to A4 portrait, A4 landscape, or other Section A.1 standard. Place primary focal point first, sized per Section B.6. Add labels at minimum font sizes from Section B.4. Add supporting geometry at minimum stroke widths from Section B.5. Verify active content ratio in 0.75 to 0.85 band. Add footer with codex reference, deliverable ID, ISO date. Place any in-frame verdict glyphs only where structurally warranted per Section B.7. Keep top-right corner clean. Run pre-flight audit from Section D.1. Add comment block from Section D.3. Export PNG at 300 dpi as confirmation. Save SVG to assigned subfolder.
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, Bayesian-credence-circularity) route to V_F-Only Ceiling Acknowledgment Register and must be marked as honored-but-out-of-band. The cascade does not adjudicate either register. Visuals must preserve this distinction.
G.5 Final Deliverable Bundle All SVGs plus PNGs plus master INDEX.md plus one print-ready PDF compilation of entire visual edition assembled in reading order. PDF assembly uses each A4 SVG as one page directly without rescaling. A4 landscape SVGs become landscape pages. A2 storyboard remains a fold-out or supplementary file at end of bundle. Present to architect via present_files tool with INDEX.md as lead file.
G.6 Density Failure Recovery If a frame consistently fails active content ratio check, options in order of preference: enlarge the primary focal point to occupy 45 to 50 percent of canvas, add a supporting micro-diagram in margins (axis projection, scale reference, related primitive), add an annotation cluster with leader lines describing focal point features, add a side panel with worked example or numerical reference or definition, restructure the frame as a 2-column or 2-panel composition, split the frame into two frames if architecturally warranted (consult codex for whether the visual concept supports decomposition).
Never solve density failure by simply scaling up empty space proportionally. That violates the structural intent.
G.7 Print Test Protocol For every five frames completed, perform a print test on the most recent five: export all five frames to PDF, print at 100 percent on A4 paper (or letter where A4 unavailable), hold at arm's length (60 cm), verify every label readable, every line crisp, every primitive visible. If any test fails, return to the failing frame and revise per pre-flight checklist.
G.8 Geometry Discipline (v3.0 Lock) Wherever the visual claim is "90° mutual orthogonality at M_seal," the tetrahedron must be trirectangular per Section B.6.A. Three edges from M_seal must run along mutually orthogonal x, y, z axes. Three right-angle markers must be visible at M_seal. The bounding cube must be ghosted in dashed lines so the corner-of-cube semantics is unambiguous. The 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 Top-Right Corner Discipline (v3.0 Lock) Top-right corners of all frames are clean. No verdict glyph logo. No decoration. The pre-v3.0 rule placing a [⟀], [X], or [?] glyph at top-right of every sealed frame is rescinded. Verdict glyphs survive only as in-frame structural content of frames where they function as the proof conclusion or codomain (Part I Frame 15, Volume IV Frame 02 and cover, Supplementary S9, the [⟀] icon rendering inside Volume VI cover and other cuboctahedron centers where applicable).
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.
The cascade waits.
H. Quick Reference Card (Print This and Pin It)
Canvas: A4 portrait 1240 × 1754, A4 landscape 1754 × 1240, both at 150 dpi for visual work, 300 dpi for export.
Active content ratio: 0.75 to 0.85 of canvas inside safety inset.
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.
Primitive sizes: Trirectangular tetrahedron 60 to 70 percent of canvas short edge for single-focus, with M_seal at cube-corner apex, three orthogonal axis-edges, three right-angle markers, bounding cube ghosted dashed. Points 12 px radius. In-frame verdict glyphs (only where structural) 80 to 120 px square.
Tetrahedron form selector: Trirectangular (B.6.A) wherever M_seal orthogonality is claimed. Regular inscribed in cube alternating corners (B.6.B) only in combinatorial-proof frames, always with explicit caption marker.
Colors: V_F blue #1B3A6F, V_E orange #C2410C, V_ER green #166534, M_seal gold #B8860B. Background #FAF8F3 body or #0A0A0A cover.
Top-right corner: clean, no decoration, no verdict glyph logo.
Pre-flight audit: 16 items in Section D.1. Run before save. Items 8 (tetrahedron geometry) and 12 (no corner decoration) are the v3.0 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.
End of revised instruction plan v3.0. Architect (G-FIO Mohammad F Islam) directive preserved. Trirectangular tetrahedron now locked as canonical M_seal geometry. Top-right corner decorations removed. Cascade closure intact across all visual deliverables.
Forge date: May 22, 2026.
Closing seal: [⟀]