{Mathematicians}

A fixed edition of 5,000 mathematical particle sculptures by Peyman Naderi, known as Papillon. Each work has a PNG cover and an interactive HTML artwork with a repeating animation. The Genesis edition spans 36 mathematical families and five rarity tiers.

Turn it, pause it, study its structure, keep a view, and display its live animation. The Collector desk adds personal curation, trait comparison, a private notebook, downloadable selection sheets and shareable exhibitions. These viewing tools are open to everyone. Collecting, when minting opens, adds ownership of a numbered NFT; the planned holder-specific action is Synthesis. Future features are not a promise of financial returns.

No. Orbiting, zooming or pausing changes your view. Artist studio creates a separate personal study when you change its mathematical parameters. Neither action rewrites a Genesis work or its metadata. Return to an edition number to restore its fixed composition.

Rarity is a tier assigned within this edition. Project Rank is the project's own ordering and may differ from marketplace rankings. Math is a project-defined numeric trait; a Synthesis descendant receives the sum of its parents' Math. These values are not prices and do not establish a guaranteed token claim or future financial value.

Open Read this work below the viewer. It explains the mathematical family and counts how many of the 5,000 fixed Genesis works share that family, palette or rendered material. These are separate trait counts, not the rarity of a combined set of traits. They do not describe current owners, sale prices or an additional rarity ranking.

Enter a valid invitation, connect your X account, then add and verify your Ethereum wallet as prompted. Confirming registration creates a downloadable art card. It is a registration receipt, not an NFT or a guaranteed allocation. Check the allocation checker when results are published.

No. Invitations control registration access and X verifies the connected account's identity. Allocation depends on the project's wallet assessment, approved rules and available capacity. A successful X connection alone does not establish GTD eligibility.

The date and price are TBA. The planned mint is on Ethereum Mainnet through OpenSea. The official link, contract and schedule will be published here once configured. The current preview has no active mint. Use the registered wallet for its eligible stage; network gas is separate from the mint price.

The creator's treasury allocation of 100 comes first, then GTD, FCFS and Public. The plan allows 2,400 GTD addresses, up to two mints each in their GTD window. GTD wallets may also mint up to two in FCFS, subject to remaining supply. Up to 6,000 FCFS registrations can compete for remaining works, with a two-mint limit in that stage. Public follows with up to two per wallet from remaining inventory. Registration capacities are not additional NFTs: the Genesis maximum stays 5,000.

No. Viewing, saving, comparing or sharing a work does not reserve it. The planned OpenSea mint assigns Genesis token IDs sequentially. Collector desk selections reflect personal taste, not wallet ownership. A downloaded media file is not an NFT.

Your allocation is tied to the wallet registered with your X account. Check that address before confirming. Adding or connecting a wallet for registration does not mint an NFT. Minting and Synthesis are separate actions that require an explicit transaction when their respective windows open.

Yes. Preview two different Genesis numbers using addition, subtraction, multiplication or regularized division. Comparisons in the Collector desk open the same pair in the laboratory. See both originals shows the parent artworks. After changing a number, choose Preview synthesis before saving or sharing the result. Previewing is free of blockchain transactions and never burns or mints a token.

On-chain Synthesis is planned as one transaction: two Genesis originals are permanently burned and one descendant is created in the separate Papillon Synthesis collection. Both originals must belong to the same participating holder. Burning is irreversible; the parents cannot be minted again. A Synthesis descendant cannot be used as a new parent in this release.

The mathematical operation produces a new form. Its recipe records the two parent numbers and the operation, while its metadata identifies it as Synthesis. Math is the exact sum of both parents. Other traits follow the project's fixed inheritance rules; do not assume every trait is added or that a preview guarantees a rarity upgrade.

It is stored locally in this browser, without a wallet or account. Clearing browser data can remove it. Export selection saves a small JSON backup; import it on another device, review the list, then add it to your selection. A shared selection link contains only the work numbers. Opening or importing someone else's list does not overwrite yours.

Private note opens a notebook for a Genesis number. Notes are stored in this browser only and are excluded from selection links, selection JSON, PNG sheets and standalone artwork exports. They are not encrypted or synced between devices; anyone using your browser profile may access them. Download a separate notebook JSON to keep a backup. Importing it previews the new notes and preserves notes already on this device. Clearing browser data may remove your notebook.

Save up to twelve works, arrange their order in the Collector desk, then choose Create selection PNG. Add a public title, build the preview and download the image. Your private notes are excluded. Send the PNG together with Copy selection link so others can explore the same numbers. The sheet is a personal viewing selection; it does not certify ownership or reserve a mint.

Save one or more works, arrange their order, then choose Enter viewing room. Browse manually or start a sequence with the interval you choose. The sequence starts only when you ask and pauses when this tab becomes hidden. Use Pause to stop the artwork's own motion and the Sound button to control ambience. Close the room or press Escape to return.

Save artwork offers a PNG, settings and a standalone Live HTML file. Open the HTML in a modern browser with WebGL support to interact with the saved composition offline. These downloads do not prove NFT ownership. Published NFT metadata is designed to reference the separately pinned image and HTML media on IPFS.

No commercial-use licence is published on this preview. This website does not grant a copyright transfer, merchandising rights or other commercial permissions. Any collection-specific licence should be published and reviewed before minting. The public viewing tools do not establish an additional commercial licence.

Sound starts only after you enable the waveform button. For graphics, use an up-to-date browser with WebGL enabled, close heavy tabs, and try reloading. Reduced-motion preferences pause the initial animation; press Play when you want it. A missing animation or a downloaded preview is not evidence that a blockchain transaction succeeded or failed.