Coylean Glyphs — 4×4 Section Catalog

Each glyph shows a 4×4 Coylean Map section defined by two 3-bit codes: which of the 3 interior vertical lines (down-arrows) and 3 interior horizontal lines (right-arrows) are present. At intersections, the higher-priority line passes through and the lower-priority line breaks. Line priority follows the 2-adic valuation: position 2 has priority 1 (senior), positions 1 and 3 have priority 0. Solid dots = line present, hollow dots = absent.

Coylean Map — Order 5

Coylean Map — Order 6h

Coylean Map — Order 6

Substitution Rule — V → H (1×2 horizontal)

Each V-glyph substitutes into a horizontal pair of H-glyphs. A vertical line between the children marks a section boundary in the asymmetric H-priority intermediate.

Substitution Rule — H → V (2×1 vertical)

Each H-glyph substitutes into a vertical pair of V-glyphs. Composing V → H → V reproduces the 5 → 6 substitution below.

Translation Table — Order 5 → 6

Each lettered section on the order-5 map expands to a 2×2 block on the order-6 map. Interior borders show where Coylean segments exist at the boundary.

Vertical-Seniority Grid (vertical wins ties)

V — Equivalence Classes under D4

All 64 V-glyphs grouped by visual equivalence under D4 (4 rotations × 2 reflections). Each row is one equivalence class; the label below each glyph names the D4 transform from the first member.

Horizontal-Seniority Grid (horizontal wins ties)

H — Equivalence Classes under D4

All 64 H-glyphs grouped by visual equivalence under D4. Equal-priority intersections resolve in favor of horizontal lines.