8 math pattern types
Lissajous, Rhodonea, Spirograph, Phyllotaxis, Superformula, Harmonograph, and two strange attractors. Explore 8 different curve families, each with unique mathematical beauty.
Generative Pattern Studio
VECTRA Beautiful designs born from mathematics.
Lissajous curves, Rhodonea, Spirograph. Simple formulas that draw intricate geometric patterns. Move sliders, pick colors, shuffle, and export. No math degree required.
Open the toolFree • No registration • No installation
What you can do with VECTRA
No math background needed. Just move sliders, pick colors, and shuffle to create one-of-a-kind patterns.
Real-time controls & presets
Adjust every parameter with instant visual feedback. Start from a curated preset, then dial in your own look.
18 palettes + custom colors
18 professionally designed palettes plus the ability to create your own gradients.
Smooth morphing
Switching parameters or patterns triggers fluid, continuous transitions.
SVG & high-res PNG export
Export as SVG for vector editing in Illustrator, or high-resolution PNG for web, social media, and print.
Lock & shuffle
Lock values you like and randomize the rest. Serendipity meets intentional control.
Supported pattern types
Each curve family has its own beauty and mathematical character. VECTRA includes the following 8 types.
Lissajous Lissajous
Two orthogonal sinusoidal oscillations combined. Change the frequency ratio and phase to produce an infinite variety of elegant knot-like lattice patterns.
Rhodonea Rose curve
The polar equation r = cos(k*theta) creates petal-shaped curves. A single coefficient changes the petal count, revealing floral symmetry.
Spirograph Hypotrochoid
The trace of a pen attached to a smaller circle rolling inside a larger one. Dense, delicate, lace-like patterns from interlocking gears.
Phyllotaxis Phyllotaxis
Points arranged along the golden angle, mimicking sunflower seed spirals. Nature's optimal packing, recreated algorithmically.
Superformula Superformula
Gielis' superformula describes a vast range of organic shapes in a single equation. Stars, flowers, polygons, all from one formula.
Harmonograph Harmonograph
The damped trace of coupled pendulums. Gradually decaying oscillations produce poetic spiral forms that slowly close in.
Clifford Attractor Clifford
A chaotic point cloud from simple iterative equations. Countless points form cloud- and feather-like density gradients.
de Jong Attractor de Jong
Another strange attractor family. Butterfly-like or misty organic forms emerge unpredictably from computation.
Three steps to create
No complicated setup. Just open, play, and export.
Choose a pattern
Pick from 8 math curve types. Use presets or shuffle to find a starting point.
Tweak & color
Slide parameters to shape the form. Choose from 18 palettes or create your own gradient. Lock values you want to preserve.
Export
Download as SVG or PNG. SVG is perfect for Illustrator; PNG works for web, social, and print.
Use cases
Generated patterns work beautifully across many design contexts.
Social media backgrounds & thumbnails
Poster & flyer ornamentation
Website background graphics
Logo & icon motifs
Math & geometry education
Generative art pieces
Business card & stationery accents
Textile & surface pattern design
Frequently asked questions
What is VECTRA?
A free browser-based tool that generates beautiful geometric patterns from mathematical formulas. Adjust parameters, choose colors, and create unique designs with no math or installation required.
Is it free? Do I need to sign up?
Completely free. No registration or installation needed. Open the page and start creating immediately.
What patterns can I create?
Lissajous curves, Rhodonea (rose) curves, Spirograph (hypotrochoid), Phyllotaxis, Superformula, Harmonograph, Clifford attractor, and de Jong attractor. 8 types in total.
Can I export my patterns?
Yes. Export as SVG (vector) for use in Illustrator or as high-resolution PNG for web, social media, and print.
Does it work on mobile?
Yes. The interface is optimized for mobile and tablet browsers. On mobile, long-press exported images to save them.
Ready to start?
Open the toolDisclaimer
This tool and its documentation are provided "as is" without warranty of any kind. Use at your own risk. Juan Mackie shall not be liable for any damages arising from the use or inability to use this tool. Generated patterns (SVG/PNG) may be used freely in your own work. Display and export results may vary depending on browser, version, and device. Specifications and content are subject to change or discontinuation without notice. We assume no responsibility for the content of external linked sites.