Hyperbolic Geometry Artwork

About the Original Work

Title: Seven Stars to Infinity | Year: 2025 | Edition: 50

This limited edition print transforms Albrecht Dürer's "Embroidery Pattern with Seven Six-pointed Stars" (before 1521), a masterwork of Renaissance mathematical art. The original embroidery pattern, created after studying Leonardo da Vinci's knot designs, demonstrates Dürer's fascination with Islamic geometric interlace that had reached Europe through trade and scholarship.

Dürer's pattern features intricate knotwork forming seven six-pointed stars—one central star surrounded by six others—with continuous strands that never break, symbolizing infinity within finite space. This was revolutionary for its time, merging mathematical precision with artistic beauty in a way that would influence centuries of decorative arts.

The Hyperbolic Transformation

Through {6,4} hyperbolic tiling—where six shapes meet at every vertex in four-fold symmetry—this transformation reveals the infinite potential within Dürer's Renaissance geometry. The knots that once decorated borders now multiply endlessly toward the boundary circle, each iteration smaller yet mathematically identical, creating a mesmerizing progression that Dürer could envision but not calculate.

The monochromatic palette emphasizes pure mathematical structure: cream strands weaving through charcoal depths, forming infinite labyrinths where no thread ever ends. This is where Renaissance craftsmanship meets non-Euclidean mathematics—a 500-year dialogue rendered visible.

Print Specifications

• Limited edition fine art poster
• Gallery-grade 220 gsm fine art paper
• Giclée print quality for exceptional detail retention
• Smooth matte finish—perfect for intricate line work
• Generous borders for professional framing
• Each print inspected for mathematical precision

Collector's Note

This piece bridges five centuries of mathematical art history, from Dürer's workshop in 1520s Nuremberg to contemporary algorithmic transformation. The hyperbolic geometry reveals what Renaissance masters intuited but couldn't formally express—that infinity can be captured within a circle, that pattern contains endless depth, that mathematics and art are inseparable.