Next-gen AMM using spherical geometry for multi-token stablecoin pools with concentrated liquidity
Nexa AMM is a revolutionary automated market maker that brings concentrated liquidity to higher dimensions using spherical geometry. Unlike traditional 2D AMMs, Nexa enables liquidity providers to focus capital around the $1 mark across multiple stablecoins simultaneously while maintaining fair pricing even in extreme scenarios. The project implements the mathematical foundation from the Paradigm Orbital Whitepaper, using a torus invariant model that combines Uniswap V3's precision with Curve's stability. Built on Arbitrum with Rust-powered Stylus contracts for complex mathematical calculations, Nexa supports pools of 2, 3, or even 10,000 stablecoins.
The project combines cutting-edge mathematical theory with modern web3 technologies: Smart Contracts (Solidity + Rust): Main AMM contract implementing the torus invariant using Newton's method Rust-powered Stylus contract for complex spherical geometry calculations Pyth oracle integration for real-time price feeds and de-pegging detection Mock USDC tokens for testing on Arbitrum Sepolia Frontend (Next.js + TypeScript): Next.js 15 with App Router and Server Components TypeScript for full type safety across the application Framer Motion for smooth animations and micro-interactions Tailwind CSS with custom glass morphism design system Wagmi + RainbowKit for wallet connection and Web3 integration Key Integrations: Pyth Network for real-time price oracles with WebSocket connections 1inch API for smart routing and optimal trade execution Arbitrum network for low-cost transactions RainbowKit for multi-wallet support Notable Technical Achievements: Implemented complex mathematical models from academic whitepaper in production Real-time price feed integration with de-pegging alerts Advanced liquidity visualization using 3D graphics Comprehensive analytics dashboard with live metrics Gas optimization and MEV protection features