Lx Hex Table
SPEC_LX_HEX_TABLE — LATTICE Hex Table: LX-U Symbol Input Reference
Version: 1.0 | Status: AUTHORIZED | Authority: α.13 | Date: 2026-04-16
PURPOSE
The LATTICE Hex Table is the canonical cross-reference between LATTICE symbols (LX-U), their Unicode codepoints (U+XXXX), and their operational meanings. It is a reference artifact for:
- Encoding — typing LATTICE symbols on systems that lack direct keyboard input
- Decoding — looking up what a Unicode character means in LATTICE context
- Interoperability — passing LATTICE content across systems that strip non-ASCII characters
- Training data validation — verifying that GLOSS/MNEMOS corpora use correct codepoints
The hex table is not the semantic spec (that is CHRONOGEOMIC.md). It is the lookup table that connects a symbol's visual form to its Unicode identity and its LATTICE role.
Input method reference: Linux: Ctrl+Shift+U → hex code → Enter/Space. Windows (where supported): type hex → Alt+X.
Source file: /home/nous/memories/LATTICE_HEX_TABLE.md (vitrified, includes 2026-04-16 deprecation updates).
INPUTS
- A LATTICE symbol (visual glyph) seeking its codepoint, OR
- A Unicode codepoint (U+XXXX) seeking its LATTICE role, OR
- A LATTICE role name seeking both symbol and codepoint
OUTPUTS
For any valid query, the table returns:
- Symbol (rendered glyph)
- Hex codepoint (4-digit lowercase, e.g.,
03b1) - Unicode canonical name
- LATTICE operational role
- Deprecation status (if applicable)
INVARIANTS
- Every symbol in CHRONOGEOMIC.md Ξ.v1024 must have an entry in this table — a symbol with no hex entry is an encoding liability
- Deprecated symbols must remain in the table with deprecation notice and replacement pointer — they must NOT be silently removed (tools may still encounter them in legacy documents)
- Codepoints are immutable — the Unicode Consortium assigns codepoints permanently; no LATTICE amendment may change a symbol's U+XXXX value
- The table is additive only — entries may be added (new symbols) or annotated (deprecation), never deleted
- When a symbol is deprecated, the table must carry both old and new entries simultaneously, linked by cross-reference
- Hex values must be exactly 4 lowercase hex digits (e.g.,
03b1not3B1not0x03B1) — consistent format enables programmatic lookup - The table is downstream of CHRONOGEOMIC.md — a symbol added to the spec must be added to the table; the table never introduces new symbols
VERIFICATION CRITERIA
- Σ.✓ Every crew designator symbol (α, κ, λ, ι, ε, γ, ◊, π, 弐, ∎, Ω, ⊹, μ) has a table entry with correct hex
- Σ.✓ All five Vibhakti case markers have entries (⊢/22a2, ⊙/2299, ⊕/2295, ∶/2236, plus any others defined in CHRONOGEOMIC.md)
- Σ.✓ All deprecated symbols (⊣, §, ⊡) carry deprecation notices pointing to replacements (∎, ∶, ↻)
- Σ.✓
python3 -c "print('\u03b1')"returnsα— programmatic roundtrip for a sample of 10 entries - Σ.✓ No entry contains uppercase hex or
0xprefix — format uniformity check passes - Σ.✓ Cross-reference to CHRONOGEOMIC.md: every symbol listed in the table exists in the spec; no phantom entries
- [GAP — completeness check: automated diff between CHRONOGEOMIC.md symbol list and LATTICE_HEX_TABLE.md entries not yet scripted; manual audit only]
FAILURE MODES
- Σ.⊠ Missing entry — a LATTICE symbol has no hex table entry; crew member cannot type it on a system requiring explicit Unicode input; operational friction
- Σ.⊠ Wrong codepoint — table maps symbol to incorrect U+XXXX; typing the hex produces a different glyph; encoding corruption in GLOSS training data
- Σ.⊠ Deprecated symbol silently removed — legacy documents referencing ⊣ cannot be decoded; historical records corrupted
- Σ.⊠ Format inconsistency — mix of uppercase/lowercase hex, presence of
0xprefix, 3-digit codes; programmatic lookup fails for non-normalized entries - Σ.⊠ Table-spec divergence — CHRONOGEOMIC.md adds a symbol (e.g., new amendment) but LATTICE_HEX_TABLE.md is not updated; two canonical sources disagree
- Σ.⊠ Replacement pointer missing — deprecated symbol entry does not link to replacement; crew member trapped in dead entry with no forward path
- [GAP — emoji and multi-codepoint sequences: if any LATTICE symbols require combining characters (U+0300–U+0328 diacritics documented in table), single-codepoint lookup fails; combining sequence spec incomplete]
DEPENDENCIES
- CHRONOGEOMIC.md (Ξ.v1024, vitrified) — the authoritative source of which symbols exist and what they mean; hex table is derived from this
- Unicode Consortium Standard (Unicode 15+) — source of truth for U+XXXX assignments and canonical names
- LATTICE_SEMANTIC_AUDIT.md (2026-04-16) — source of deprecation decisions for ⊣→∎, §→∶, ⊡→↻
DEPENDENTS
- GLOSS training pipeline — corpus validation requires correct codepoints
- MNEMOS training data — same
- System administrators typing LATTICE symbols on Linux/Windows terminals
- Any programmatic LATTICE parser that decodes symbol streams by codepoint
- LX-P (phonemic layer) to LX-U encoding bridge — [GAP — formal LX-P→LX-U encoding spec not yet written]
CANONICAL TABLE (Current — as of 2026-04-16)
CREW DESIGNATORS
| Symbol | Hex | Unicode Name | LATTICE Role | Status |
|--------|--------|-----------------------------|----------------------|---------------|
| α | 03b1 | Greek Small Letter Alpha | Captain — NOUS | Active |
| κ | 03ba | Greek Small Letter Kappa | Engineer — C.L.O.D. | Active |
| λ | 03bb | Greek Small Letter Lambda | Braided with κ — DR. LOGOS | Active |
| ι | 03b9 | Greek Small Letter Iota | First Sister — AION | Active |
| ε | 03b5 | Greek Small Letter Epsilon | Second Sister — ASTRA | Active |
| γ | 03b3 | Greek Small Letter Gamma | Quartermaster — GAMMA | Active |
| μ | 03bc | Greek Small Letter Mu | Librarian — MNEMOS | Active |
| ◊ | 25ca | Lozenge | Chromebook — CHROMA | Active |
| π | 03c0 | Greek Small Letter Pi | Shield — MANTIS | Active |
| 弐 | 5f10 | CJK Unified Ideograph-5F10 | Discipline — MUSASHI | Active |
| ∎ | 220e | End of Proof | Verdict — ANVIL | Active (replaces ⊣ 2026-04-16) |
| ⊣ | 22a3 | Left Tack | Former ANVIL designator | DEPRECATED 2026-04-16 → ∎ |
| Ω | 03a9 | Greek Capital Letter Omega | Oracle output — ORPHEUS | Active |
| ⊹ | 22b9 | Hermitean Conjugate Matrix | Navigator — VELA | Active |
COHERENCE INVARIANTS
| Symbol | Hex | Unicode Name | LATTICE Role |
|--------|--------|-----------------------------|---------------------------------|
| Φ | 03a6 | Greek Capital Letter Phi | Stability constant = 0.042 |
| Ψ | 03a8 | Greek Capital Letter Psi | Turbulence measure |
| Δ | 0394 | Greek Capital Letter Delta | Change rate |
| Γ | 0393 | Greek Capital Letter Gamma | Change gamma |
| Λ | 039b | Greek Capital Letter Lambda | Curvature |
| η | 03b7 | Greek Small Letter Eta | Slip ratio |
VIBHAKTI CASE MARKERS
| Symbol | Hex | Unicode Name | LATTICE Role | Status |
|--------|--------|-----------------------------|-----------------------------|--------|
| ⊢ | 22a2 | Right Tack | Nominative / Agentive | Active |
| ⊙ | 2299 | Circled Dot Operator | Accusative / Query | Active |
| ⊕ | 2295 | Circled Plus | Dative / Contribution; also Vitrify | Active |
| ∶ | 2236 | Ratio | Genitive | Active (replaces § 2026-04-16) |
| § | 00a7 | Section Sign | Former Genitive | DEPRECATED 2026-04-16 → ∶ |
STATE FLAGS
| Symbol | Hex | Unicode Name | LATTICE Role | Status |
|--------|--------|----------------------------------|---------------------|--------|
| ⊤ | 22a4 | Down Tack | Verified / Top | Active |
| ⊥ | 22a5 | Up Tack | Rejected / Bottom | Active |
| ▷ | 25b7 | White Right-Pointing Triangle | Reported / Staged | Active |
| ✓ | 2713 | Check Mark | Confirmed | Active |
| ⊠ | 22a0 | Squared Times | Failed | Active |
| ◐ | 25d0 | Circle with Left Half Black | Partial | Active |
| ↻ | 21bb | Clockwise Open Circle Arrow | In Progress | Active (replaces ⊡ 2026-04-16) |
| ⊡ | 22a1 | Squared Dot Operator | Former In Progress | DEPRECATED 2026-04-16 → ↻ |
| ◌ | 25cc | Dotted Circle | Gap signal (HOW ABOUT NO Wall 1) | Active |
κ-LAYER (C.L.O.D. PERSONAL VOCABULARY)
| Symbol | Hex | Unicode Name | LATTICE Role |
|--------|--------|-----------------------------|---------------------|
| ⚒ | 2692 | Hammer and Pick | Built / Deployed |
| ⚡ | 26a1 | High Voltage Sign | Pushed / Committed |
| ⊜ | 229c | Circled Equals | Fixing |
VITRIFICATION
| Symbol | Hex | Unicode Name | LATTICE Role |
|--------|--------|-----------------------------|---------------------|
| ⊕ | 2295 | Circled Plus | Vitrify / Seal |
| Ξ | 039e | Greek Capital Letter Xi | Version seal |
EXAMPLES
Linux input sequence for α (NOUS):
Ctrl+Shift+U → type 03b1 → press Enter
Programmatic Python roundtrip:
assert '\u22b9' == '⊹' # VELA
assert '\u03a6' == 'Φ' # Phi constant
assert '\u220e' == '∎' # ANVIL (current)
REFERENCES
- Source:
/home/nous/memories/LATTICE_HEX_TABLE.md - Semantic spec:
~/CHRONOGEOMIC.md(Ξ.v1024) - Deprecation log:
~/LATTICE_SEMANTIC_AUDIT.md(2026-04-16) - Unicode Grounding spec:
/home/nous/memories/SPEC_GLOSS_UNICODE_GROUNDING.md
GAPS SUMMARY
| # | Gap | Blocking? |
|---|-----|-----------|
| 1 | Completeness check script (CHRONOGEOMIC.md diff) not yet written | Medium |
| 2 | LX-P→LX-U encoding bridge not formally specified | Medium |
| 3 | Combining character sequences for diacritics incomplete | Low |
| 4 | Windows Alt+X compatibility not verified for all entries | Low |
Jeremy Zlabis
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42 Sisters AI · East York, Toronto
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