Hilbert Pulse — Catalogue Space-Filling Curve System
A study in space-filling curves

Hilbert Pulse

A space-filling Hilbert curve — broken into segments, tinted in pulses of colour, and transformed by a single seed into a woven field of line and hue.

For fashion houses, textile studios and surface designers. Each composition is generated from a numeric seed and can be licensed, adapted or commissioned to your brief.

Issue Hilbert Pulse — Autumn 2026
Discipline Generative Composition
Edition Seed-based · Open series
00 / Statement Artist Statement

A single line, folded through space until it touches every point of the field.

I am an Iranian-born artist working at the intersection of classical textile logic and generative systems. My work begins with a simple observation: the woven surface — repetitive, mathematically structured, infinitely variable — has always been a form of computation, long before computers.

Hilbert Pulse begins from a single mathematical object — the Hilbert curve, a space-filling path that visits every cell of a square grid without ever crossing itself. In the system, that path is broken into segments, each tinted by a palette pulse, and the whole composition is rotated and scaled by the seed.

What emerges is not a mathematical diagram but a textile — a dense, rhythmic weave of line and hue whose structure is entirely determined by the curve's order. Each piece is defined by a numeric seed and can be regenerated, documented, and adapted for textile, print, and surface applications.

On AI tools — where I encountered technical obstacles, I turned to AI tools for debugging and code optimization. Every structural, aesthetic, and conceptual decision remained my own.
01 / Plate

Folded,
not just drawn.

02 / Surfaces

One pulse.
Many surfaces.

The same seed, presented as an archival print — and applied across fabric, scarf, textile and wall surfaces without loss of structure.

Plate 001 Archival print · 1 : 1 · Open edition

Applied across surfaces.

Every surface below is drawn from the same numeric seed — its repeat, orientation and scale adapted to the material, while the underlying structural logic remains identical.

i Print
Archival print
1 : 1 · Cotton rag
ii Scarf
Silk scarf
3 : 1 · Twill silk
iii Textile
Fabric yardage
4 : 3 · Repeat tile
iv Wall
Wallpaper
2 : 3 · Vertical repeat
03 / Process

Structure
behind the pulse.

01 / Seed

Variation

A numeric seed initializes the curve's order (4–8), the background hue, the palette pulse, the stroke weight, and an optional rotation and scale transform. Each output is regenerated and documented as a distinct, traceable work.

02 / Folding

Geometry

The Hilbert curve is generated by recursive folding — a single path that visits every cell of a 2n × 2n grid without ever crossing itself. The path is broken into coloured segments, producing a woven field of line and hue.

03 / Surface

Application

The resulting composition becomes a surface-design asset — explored across garments, textile prints, wallpaper and other pattern-driven applications.

04 / Archive

Selected
seeds.

8 compositions · Open series Click any plate to load it above
For brands & studios

One system.
Many surfaces.

Hilbert Pulse is a generative design system rather than a single artwork. Its space-filling curve language can be adapted for fashion, textile development and other surface-oriented contexts — while maintaining a computational origin.

i
Licensing Existing seeds from the archive, licensed for production use.
ii
Commission New compositions designed to your palette, repeat and product.
iii
Systems A private generative tool built for your studio's ongoing use.
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Applied · Hilbert Pulse

The same seed,
three surfaces.

Hilbert Pulse tote bag — applied composition
01 / Tote Seed 51380762
Hilbert Pulse t-shirt — applied composition
02 / Apparel Seed 51380762
Hilbert Pulse cushion — applied composition
03 / Interior Seed 51380762

Each surface is drawn from the same numeric seed — reproducible, licensable, adaptable to your brief.