Flame letter (Winter / dnaring)
One golden spiral (R = φ2θ/π) sine-lifted over 1.5 turns onto a torus whose height is φ times its outer radius, then revolved 36° (the 1/10 apple peel). Each image is an orthographic shadow at a platonic / pentagonal tilt — the same object Winter used for Hebrew, Latin, and Arabic letterforms.
Cross-language homology
Letters whose geometric encodings match across inventories (shared spiral view) — the actual inter-language connection.
| A | B | F1 |
|---|---|---|
| י Hebrew | t Latin cursive | 1.00 |
| י Hebrew | ई Devanagari | 1.00 |
| ק Hebrew | ρ Greek cursive | 1.00 |
| ן Hebrew | ب Arabic medial (joinable) | 1.00 |
| ا Arabic (isolated) | Ι Greek | 1.00 |
| ا Arabic (isolated) | I Latin | 1.00 |
| ز Arabic (isolated) | J Latin | 1.00 |
| Ι Greek | I Latin | 1.00 |
| ι Greek cursive | b Latin cursive | 1.00 |
| ι Greek cursive | h Latin cursive | 1.00 |
| t Latin cursive | ई Devanagari | 1.00 |
| ㅡ Hangul (jamo) | 一 Han radicals (probe) | 1.00 |
| τ Greek cursive | b Latin cursive | 0.96 |
| τ Greek cursive | h Latin cursive | 0.96 |
| の Japanese kana | 山 Han radicals (probe) | 0.91 |
| J Latin | j Latin cursive | 0.89 |
| ب Arabic medial (joinable) | i Latin cursive | 0.88 |
| ب Arabic medial (joinable) | l Latin cursive | 0.88 |
| ا Arabic (isolated) | t Latin cursive | 0.87 |
| Ι Greek | t Latin cursive | 0.87 |
| I Latin | t Latin cursive | 0.87 |
| ई Devanagari | ا Arabic (isolated) | 0.87 |
| ז Hebrew | ب Arabic medial (joinable) | 0.86 |
| ㅅ Hangul (jamo) | 人 Han radicals (probe) | 0.86 |
Cursive ribbon constraint
Arabic medial (joinable) (rtl)
Port joinability (each letter has a viable head & tail partner): real 91% (20/22) · geom 86% (19/22)
Shared scribe view y150.0° p30.0° r0.0° · ribbon cover 0.2446 · ribbon join 0.1814
Greek cursive (ltr)
Port joinability (each letter has a viable head & tail partner): real 88% (21/24) · geom 88% (21/24)
Shared scribe view y0.0° p0.0° r0.0° · ribbon cover 0.2396 · ribbon join 0.1444
Latin cursive (ltr)
Port joinability (each letter has a viable head & tail partner): real 62% (16/26) · geom 92% (24/26)
Shared scribe view y90.0° p0.0° r60.0° · ribbon cover 0.2774 · ribbon join 0.1164
Cyrillic cursive (ltr)
Port joinability (each letter has a viable head & tail partner): real 62% (20/32) · geom 69% (22/32)
Shared scribe view y0.0° p90.0° r0.0° · ribbon cover 0.2238 · ribbon join 0.189
Geometric codebook (compression bridge)
Fine tokens: 289 · coarse atoms: 232 · coarse+entropy+dict vs Unicode: 1.508× · fine fixed+dict: 2.997×
| id | coarse token | uses |
|---|---|---|
| 0 | flame|nest|y180|p30|r60|v0 | 12 |
| 1 | flame|apple|y0|p270|r60|v1 | 12 |
| 2 | flame|apple|y0|p90|r30|v0 | 11 |
| 3 | flame|apple|y0|p90|r30|v1 | 9 |
| 4 | flame|apple|y300|p60|r0|v1 | 9 |
| 5 | flame|apple|y300|p60|r0|v0 | 9 |
| 6 | flame|nest|y0|p30|r60|v1 | 9 |
| 7 | flame|apple|y0|p270|r60|v0 | 9 |
Ribbon-word encodings
One shared scribe view + per-letter t-window — the cursive compression path.
Ribbon word · Latin cursive hello · view y90.0° p0.0° · mean F1 0.2916 · 55.98 bits vs 80.0 Unicode (ratio 0.7×)
Ribbon word · Latin cursive spiral · view y90.0° p0.0° · mean F1 0.3074 · 65.02 bits vs 96.0 Unicode (ratio 0.677×)
Ribbon word · Greek cursive λογος · view y0.0° p0.0° · mean F1 0.1852 · 55.98 bits vs 80.0 Unicode (ratio 0.7×)
Ribbon word · Cyrillic cursive мир · view y0.0° p90.0° · mean F1 0.2164 · 37.89 bits vs 48.0 Unicode (ratio 0.789×)
Ribbon word · Arabic medial (joinable) سلام · view y150.0° p30.0° · mean F1 0.3099 · 37.89 bits vs 48.0 Unicode (ratio 0.789×)
Latin cursive ids hello → 5 stroke ids
Latin block ids SPIRAL → 6 stroke ids
Greek cursive ids λογος → 5 stroke ids
Hebrew ids שלום → 4 stroke ids