Seventeen crystallographic symmetry groups — p1 through p6m — drawn as 60 × 60 tiled patterns in seven cell shapes and six colour schemes.
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.
A wallpaper group, repeated without end, becomes a surface with its own geometry.
I am an Iranian-born artist working at the intersection of crystallographic symmetry and generative systems. My work begins with a simple observation: the tiled surface — repetitive, mathematically structured, infinitely variable — has always been a form of computation, long before computers.
Wallpaper Groups renders the seventeen crystallographic symmetry groups — p1 through p6m — as tiled patterns on a 60 × 60 grid. Each group is defined by its own fundamental region and a set of symmetry operations (translations, rotations, reflections, glide reflections) that tile the plane. Seven cell shapes and six colour schemes complete the composition.
A gradient background and a faint overlay of symmetry markers round out each piece. The result sits between mathematical diagram and textile repeat. Each piece is defined by a numeric seed and can be regenerated, documented, and adapted for print, textile, and surface applications.
The same seed, presented as an archival print — and applied across fabric, scarf, textile and wall surfaces without loss of structure.
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.
A numeric seed picks one of the seventeen crystallographic wallpaper groups — p1 through p6m. Each group is defined by its own fundamental region pattern and a distinct set of symmetry operations: translations, 2-, 3-, 4-, and 6-fold rotations, reflections, and glide reflections.
Six colour schemes are available: monochromatic, complementary, warm, cool, high-contrast, and vibrant. Each scheme draws from its own hue range, saturation range, and brightness range, and produces 2–3 palette colours that are assigned to lit cells via the symmetry-type index.
Each lit cell draws itself as one of seven shapes: square, circle, triangle, diamond, hexagon, 5-point star, or rounded square. Cell size varies smoothly via a sine field, and the colour assigned to each cell is drawn from the palette using one of three symmetry-driven indexing methods.
Wallpaper Groups is a generative design system rather than a single artwork. Its crystallographic language can be adapted for fashion, textile development and other surface-oriented contexts — while maintaining a computational origin.
Each surface is drawn from the same numeric seed — reproducible, licensable, adaptable to your brief.