Polychora NFT Collection

Historic First • 4D Polytope on Ethereum • Physical + Digital Collection

Polychora: Where Bronze Meets Blockchain in Four-Dimensional Art

By Pardesco • Pioneer in Mathematical Sculpture • Creator of Xhi Gallery

The Crown Jewel: Xhi on Ethereum

Making History on the Blockchain

In 2024, Xhi became the first four-dimensional polytope ever minted on the Ethereum blockchain—a bitruncated 120-cell rendered with my proprietary vertex coloring algorithm. This isn't just an NFT; it's a mathematical monument, the centerpiece of the revolutionary Xhi virtual gallery, and a defining moment in the evolution of generative art.

1st Ever

4D polytope on Ethereum

120 Cells

Mathematical perfection

Proprietary

Unique coloring algorithm

Gallery Core

Centerpiece of Xhi space

A Revolutionary Dual-Realm Collection

Polychora exists simultaneously in bronze and bytes, physical galleries and virtual worlds. This unprecedented approach creates multiple entry points for collectors while establishing a new paradigm for how mathematical art can exist across realities.

The Bronze Legacy: Physical 1/1 Sculptures

48-cell Bronze Sculpture

Museum-Quality Mathematical Sculptures

Each physical Polychora sculpture represents months of computational design and traditional craftsmanship. Beginning as pure mathematics in Rhino 3D and Grasshopper, these forms undergo a metamorphosis through 3D printing into lost-wax bronze casting—a 5,000-year-old technique preserving 21st-century mathematics.

The Artisan Process

  • Mathematical Genesis: Noble uniform polychora selected for aesthetic and structural perfection
  • Digital Precision: Parametric modeling ensuring mathematical accuracy to 0.001mm
  • Bronze Immortality: Traditional lost-wax casting creates permanent mathematical monuments
  • Intimate Scale: Sized for personal contemplation, revealing infinite complexity

Each sculpture includes certificate of authenticity, mathematical documentation, and NFT twin

The Digital Frontier: Interactive 3D NFTs

Polychora Digital 3D Models

Living Mathematics in the Metaverse

The digital Polychora series pushes beyond static imagery into interactive, three-dimensional experiences. Each .glb file is a portal to four-dimensional space, allowing collectors to rotate, examine, and truly understand these impossible objects.

Digital Mastery

  • Stella 4D Origin: Born in specialized 4D visualization software
  • Algorithmic Coloring: My proprietary vertex coloring reveals dimensional relationships
  • Metaverse Ready: Optimized for display in virtual galleries and AR/VR environments
  • Print Potential: Each file maintains structural integrity for physical manifestation

Minted on Ethereum with full provenance and interactive .glb files

Why Collectors Are Acquiring Polychora

🏛️

Historical Significance

First collection bridging physical bronze and blockchain, with Xhi as the first 4D polytope on Ethereum

🔬

Mathematical Purity

Each piece is mathematically perfect, verified through computational proofs

🎨

Artistic Innovation

Proprietary coloring algorithms create unique aesthetic signatures impossible to replicate

🌐

Cross-Reality Assets

Own art that exists authentically in physical, digital, and virtual realms

💎

Extreme Rarity

Each piece is 1/1 with no editions, ensuring absolute uniqueness

📈

Market Position

As mathematical art gains institutional recognition, early collectors are optimally positioned

The Complete Polychora Experience

Bronze Collector

  • Physical sculpture with museum-quality presentation
  • Mathematical proof documentation
  • Digital twin NFT included
  • Artist certificate of authenticity
  • Display consultation

Digital Pioneer

  • Interactive .glb file for exploration
  • Metaverse display rights
  • AR viewing capabilities
  • 3D printing license
  • Algorithm documentation

Xhi Visionary

  • The historic first 4D polytope on Ethereum
  • Centerpiece status in Xhi gallery
  • Complete mathematical proofs
  • Source code for coloring algorithm
  • Permanent place in blockchain history

A Mathematical Renaissance

"Polychora isn't just about creating beautiful objects—it's about preserving mathematical truth in permanent form. When you hold a bronze Polychora or interact with its digital twin, you're experiencing pure mathematics made tangible. This is the renaissance of mathematical art, where ancient casting techniques meet blockchain permanence." — Pardesco

As the collection expands, each new polytope adds to a growing mathematical museum that exists across realities. Collectors aren't just acquiring art—they're becoming custodians of mathematical heritage, preserving these forms for future generations in both bronze and blockchain.

Begin Your Mathematical Journey

Whether you're drawn to the permanence of bronze or the possibilities of blockchain, Polychora offers unprecedented opportunities to own mathematical perfection.

Note: Xhi remains the only 4D polytope on Ethereum—a singular opportunity for the discerning collector

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