// ABOUT THE PROJECTArt from
Art from
Pure Mathematics
Mathematical Visions is a collection of 10,000 generative artworks born from code. No AI images. No pre-made layers. No trait rarity tables. Just algorithms, equations, and deterministic randomness — permanently archived on Ethereum.
CODE IS THE ART
The algorithm is not a tool for making art — it is the art. Each piece is defined entirely by mathematical relationships. What you own is not an image file. You own a seed and access to the computation that transforms it.
ON-CHAIN FOREVER
The generative script lives in the smart contract bytecode. No IPFS. No external CDN. No server. Calling tokenURI() returns a fully self-contained HTML page that runs the algorithm using your token hash as entropy. The art exists as long as Ethereum exists.
DETERMINISTIC UNIQUENESS
Your transaction hash seeds the RNG. The same seed always produces the same output — making ownership verifiable and the piece reproducible. But no two transaction hashes are alike, so no two pieces will ever be identical.
COLLECTORS AS STAKEHOLDERS
The Patron Dividend system transforms early collectors into long-term stakeholders. 10% of every mint fee flows to a pool shared among those who minted 10 or more pieces. Art and investment aligned in a single on-chain mechanism.
Under the Hood
STANDARDERC-721
NETWORKEthereum Mainnet
TOTAL SUPPLY10,000
MINT PRICE$0.50 USD
MAX PER TX50
PATRON THRESHOLD10 pieces
PATRON POOL10% of mint fees
SECONDARY ROYALTY5% (4.5% treasury + 0.5% patron pool)
METADATAFully on-chain, no IPFS
ALGORITHM STORAGEContract bytecode
RNGMulberry32 seeded by tx hash
CONTRACTNon-upgradeable, audited
The Mathematics
Each token is assigned an algorithm family deterministically from its seed. Within each family, continuous parameters vary across their full range.
∑ ORBITALCOMMON
ORBITAL HARMONY
Lissajous-derived orbital curves. Frequency ratios create interference patterns between circular and elliptical attractors.
x=sin(at)·cos(bt), y=cos(ct)·sin(dt)
∑ PARTICLESCOMMON
PARTICLE UNIVERSE
N-body particle simulation with proximity-based line connections. Each particle follows a velocity field seeded by token hash.
Δθ = f(gravity,flow) · ∂noise/∂t
∑ SACREDUNCOMMON
SACRED RECURSION
Recursive radial geometry. Golden ratio governs depth scaling. Symmetry parameter defines rotational order.
Rₙ = R₀ · φⁿ, θ = 2π/symmetry
∑ FRACTALRARE
FRACTAL DREAMS
Julia set rendered pixel-by-pixel. The complex constant c is derived from the token seed, producing a unique escape-time landscape.
zₙ₊₁ = zₙ² + c, |z| < 2
∑ LISSAJOUSCOMMON
HARMONIC WAVES
Multi-frequency Lissajous figures layered by color channel. Frequency ratios determine open vs closed curve topology.
x=A·sin(f₁t+δ), y=B·sin(f₂t)
∑ RAINUNCOMMON
DIGITAL RAIN
Stochastic column descent with brightness falloff. Glyph selection from katakana range, density and chaos per token.
y(t) = y₀ + v·t mod H
∑ WEAVECOMMON
WOVEN TEXTURE
Orthogonal interlocking grid. Horizontal and vertical threads alternate based on parity function with color rotation.
f(r,c) = interleave(H,V) ⊕ seed
∑ TREEUNCOMMON
GENERATIVE GROWTH
Stochastic L-system branching. Reduction ratio and angular spread both carry per-token entropy for organic variation.
Lₙ = L₀ · rⁿ, Δθ = angle ± ε
∑ FLUXLEGENDARY
INFINITE FLUX
Superimposed sine waves creating interference fields. Amplitude, frequency, and phase all seed-derived.
y = A·sin(kx + ωt + φ)