Play the sphere

Swap it. Break it. Watch it hold.

No wallet. No risk. Trade across stablecoins on a real spherical invariant, then hit depeg on any token and watch the pool quarantine it and reduce dimension. Your other stables keep trading.

This toy runs a real single-sphere AMM invariant (correct constraint, genuine slippage) — a simplified model for intuition. The production engine adds concentrated-liquidity ticks and the torus invariant; that engine is the one formally verified and differential-tested. See the proofs →

All stablecoins at peg. The invariant residual F ≤ 0 — the pool is in band. Try a swap.

n_active = 5 · dim = 5

You pay

You receive

Amount in — 100,000

You receive—

Effective rate—

Price impact—

Spot price (marginal)—

Invariant residual F≤ 0 · in band

Pool · tap depeg to break a stable

A quarantined asset is removed from the active set (dimension n→n−1). Reset to restore all five.

This is real — read the proofs → Notify me at mainnet