LIVE ON SOLANA · BURN TO MINT

222 unit-distance
graphs.

Each one drawn from the ring of integers of a complex number field. Every edge marks two points exactly one apart — forced by algebra, not placed by hand. The same construction at the heart of modern Erdős results.

Explore the collection
Featured ERDOS
ERDŐS #111★ LEGENDARY
ERDŐS #005EISEN·GAUSS
ERDŐS #100OCTAGONAL
// Burn to Mint

Burn $ERDOS, get a lattice.

Connect a Solana wallet, burn the current tier price, and a random lattice lands in your wallet in about 30 seconds.

// ERDOS.MINT.TERMINAL v1.0
> WALLET— NOT CONNECTED
> $ERDOS BALANCE
> BURN COST— $ERDOS
> TIER
> AVAILABLE
> STATUSREADY.
// SUMMONING YOUR LATTICE
Searching the archive… 30s
Your ERDOS
COMMON
ERDŐS #—

How it works

  1. Connect any Solana wallet — Phantom, Solflare, Backpack.
  2. Burn the current tier price in $ERDOS tokens.
  3. The backend detects your burn and picks the next shuffled lattice.
  4. It transfers to your wallet in ~30s. Fully on-chain, provenance-locked.
PRICING TIERS
#1–501 $ERDOS
#51–1002 $ERDOS
#101–1503 $ERDOS
#151–2004 $ERDOS
#201–2225 $ERDOS
// The Method

Mathematics, not randomness.

No two pieces are alike, yet none are arbitrary. Each is the unit-distance graph of a number field's ring of integers.

The lattice

Points are integer combinations of a field's basis: a + bi + cρ + diρ. Intersect with a window, project to the plane.

The edges

Connect every pair of points at distance exactly 1. The field's algebraic symmetry forces thousands of these — the quasicrystal structure emerges on its own.

The variety

Six number fields give six symmetry signatures — 4, 5, 6, 8, and 12-fold. Gaussian grids, Penrose blooms, octagonal stars, dodecagonal rosettes.

// On-Chain

Live collection stats.

222
NFT Supply
Holders
$ERDOS Burned
Floor Price
// The Ledger

Holders & recent burns.

TOP HOLDERS
#Wallet$ERDOS
loading…
RECENT BURNSLIVE
TimeBurnerMinted
waiting…
// Questions

Frequently asked.

What exactly am I minting?+
A 1-of-1 generative artwork that is a genuine unit-distance graph from a complex number field. Every edge connects two points exactly distance 1 apart — the same mathematical structure studied in the Erdős unit-distance problem. There are 222 in total.
How does burn-to-mint work?+
You burn $ERDOS tokens (1–5 depending on the current tier). The mint backend detects your burn on-chain, assigns the next shuffled lattice from the pre-minted treasury, and transfers it to your wallet automatically — usually within 30 seconds.
Why does the price increase?+
Tiered pricing rewards early minters. The first 50 cost 1 $ERDOS each, then it steps up to 5 $ERDOS for the final tier. As more burn, supply tightens and each costs more.
Is the distribution fair?+
Yes. The 222 are shuffled with a public, committed salt before launch, so the order they're given out is deterministic and verifiable — nobody can cherry-pick which lattice goes to whom.
Where do I see the collection on-chain?+
The $ERDOS token lives at 4z32…erdos on Solana. NFTs are Metaplex Core assets grouped under the ERDOS collection — viewable on Magic Eden, Tensor, and Solscan.