IPD‑12 Physical Dice Layout (printable)

Module: IPD‑12 Framework
File: /docs/frameworks/ipd_12/physical_layout.md
Version: 2026‑1.0

1. Purpose#

This document defines a printable physical layout for the IPD‑12 die:

12 faces mapped to prime‑indexed operator states
Net layout for paper/cardstock construction
Clear marking of lift / collapse / neutral / gate roles
Canon‑aligned with operators.json, regime_map.md, and dimensional_lift_collapse_map.md

2. Face → Prime → Role Mapping#

Face	Prime	Label	Dimensional Role
1	2	P2	Seed (neutral)
2	3	P3	Transition lift (+1D)
3	5	P5	Drift collapse (−1D)
4	7	P7	Regime lift (+1D)
5	11	P11	Coherence (0D)
6	13	P13	Paradox collapse (−1D)
7	17	P17	Gate (0D)
8	19	P19	Boundary (0D)
9	23	P23	Dimensional lift (+1D)
10	29	P29	Collapse anchor (−1D)
11	31	P31	Stability collapse (−1D)
12	37	P37	Apex lift (+1D)

3. Net Layout (ASCII)#

Use this as a guide for a printable net (each [ ] is a face):

           [  2  ]  (P3, Transition Lift)
           [  3  ]  (P5, Drift Collapse)
           [  4  ]  (P7, Regime Lift)
 
[  7  ] [  1  ] [  5  ] [  8  ]
(P17)   (P2)    (P11)   (P19)
 Gate   Seed    Coherence Boundary
 
           [  6  ]  (P13, Paradox Collapse)
           [  9  ]  (P23, Dimensional Lift)
           [ 10  ]  (P29, Collapse Anchor)
           [ 11  ]  (P31, Stability Collapse)
           [ 12  ]  (P37, Apex Lift)

Suggested physical net:

Central ring: faces 1–5–8–7 (seed, coherence, boundary, gate)
Top strip: faces 2–3–4 (transition/drift/regime)
Bottom strip: faces 6–9–10–11–12 (paradox/lift/collapse/stability/apex)

You can adapt this to a standard 12‑sided net (dodecahedron) by placing:

P2, P11, P17, P19 around the “equator”
Lift faces (P3, P7, P23, P37) distributed to avoid clustering
Collapse faces (P5, P13, P29, P31) opposite or adjacent to their lift counterparts

4. Face Marking Conventions#

On each physical face, print:

Prime:  Pn
Role:   Seed / Lift / Collapse / Gate / Boundary / Coherence / Apex
Dim:    −1D / 0D / +1D
Cycle:  Triad#, Hex#, Full

Example for face 9:

Prime:  P23
Role:   Dimensional Lift
Dim:    +1D
Cycle:  Triad 3, Hex 2, Full 12-cycle

5. Printable Label Set#

You can generate stickers or labels with:

Face 1:  P2  — Seed (0D)
Face 2:  P3  — Transition Lift (+1D)
Face 3:  P5  — Drift Collapse (−1D)
Face 4:  P7  — Regime Lift (+1D)
Face 5:  P11 — Coherence (0D)
Face 6:  P13 — Paradox Collapse (−1D)
Face 7:  P17 — Gate (0D)
Face 8:  P19 — Boundary (0D)
Face 9:  P23 — Dimensional Lift (+1D)
Face 10: P29 — Collapse Anchor (−1D)
Face 11: P31 — Stability Collapse (−1D)
Face 12: P37 — Apex Lift (+1D)

6. Summary#

This layout gives you a physically buildable IPD‑12 die whose faces:

encode prime‑indexed operator states
preserve lift/collapse/neutral roles
remain canon‑aligned with the substrate, regime, and dimensional maps.

You can refine the exact geometric net later; this file is the canonical face mapping and labeling.

Updated Jul 19, 2026