🔯 Penrose Quilt

the aperiodic floor — where position encodes gravity
Penrose P3 floor · 5D → 2D · golden-angle projection
tile count: 0 · thick/thin ratio: —
thick rhomb (72°) thin rhomb (36°) Quilt cell weight = radius of the ring; gravity = arrow direction

📍 Selected cell

Click a cell on the floor to inspect.

🌳 The Quilt path

penrose.cell_+0.123_-0.456.name
↑ namespace ↑ projected position (decimal) ↑ kind

Position is the Penrose coordinate after cut-and-project from 5D. The decimal precision encodes the source embedding. Each position is unique — the Penrose tiling is aperiodic.

🔮 Query (project your text)

📊 Floor stats

tiles0
thick0
thin0
ratio thick:thin—
φ target1.618
cells placed0

💡 The thesis

The Penrose floor is aperiodic — every position is unique. The golden ratio (φ) governs the geometry. When you project a 5D embedding to 2D Penrose coordinates, the position encodes the embedding. The address is the data.

Neighboring cells on the floor are gravitationally related — their vectors compose. Inferences about "what's nearby?" become geometric queries: walk φ steps in the golden direction.