📖 Ch.8 — Ternary Floats TF3 TF9 (600w · 🟢 P2 · II — NUMERIC)

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Ch.8 — Ternary Floats TF3 TF9

Master: trios#380 · Part: II — NUMERIC
Scope: software-only (Rust/Zig), no hardware/FPGA/KOSCHEI
Words: 600 · Priority: 🟢 P2 · Owner: GoldenSunWeaver

🎯 Scope (FROZEN, v2.1 SOFTWARE-ONLY)

TF3 (3-bit ternary float) + TF9 (9-bit ternary float) specifications. Software-only — no hardware ALU references. Position in numeric palette (Ch.6 GF family).

🔑 Key claims / formulas

• TF3: {-1, 0, +1} × 3 mantissa bits
• TF9: extended ternary with 9-bit budget
• Range/precision tradeoff vs GF4 / GF8
• Cite t27/specs/numeric/tf3.t27 + trinity_numeric_surface.t27

📦 Deliverables

• paper/sections/8_ternary_floats_tf3_tf9.tex

✅ Definition of Done (v2.1)

• Word count 600 ±10%
• All claims cited (primary literature)
• No woody-shop / KOSCHEI / FPGA references
• Compiles in main.tex via tectonic
• L1 (no .sh) · L3 · L4 · L8

🤖 ONE-SHOT directive (when operator types ONE SHOT Ch.8)

A: take Markdown draft from §"Draft", convert to LaTeX, place in
paper/sections/8_<slug>.tex, ensure compile, open PR with Closes #<this>.

phi^2 + phi^-2 = 3 · TRINITY · NEVER STOP