Geometric Pattern Generator

You describe symmetry, density, and palette with a few controls. The page paints a square canvas so you get an honest preview before saving a flat image.

Preview
Mode kaleidoscopeSymmetry 8-foldSize 0 × 0

Changing any control redraws the canvas. Animate adds slow rotation to the math so you spot lopsided symmetry before you download.

Parameters

8
1.0

Load a starting point, then deviate

Each chip sets structure, symmetry, and palette together so you spend less time hunting for a sane baseline.

From sliders to pixels, without a server round trip

Every pattern mode shares one pipeline. The page reads your numeric inputs, seeds a small deterministic random stream so shuffle stays reproducible until you randomize again, builds an HSL palette, then walks geometry in polar coordinates around the canvas center.

Kaleidoscope mode mirrors strokes across wedges. Mandala mode stacks rings and places markers on each ring. Spiral mode connects samples along a growing radius so the line tightens toward the middle. Polygon mode rotates a base polygon outline and repeats copies around the hub. Flower mode fills soft disks along petal angles. Celtic-style mode draws staggered circular segments to suggest braiding even though the topology is not mathematically exact.

Rendering stays on your device. Teachers use snapshots in slides; hobbyists post crops online; students compare symmetry orders against homework sketches from the symmetry pattern creator when instructors ask for folded-paper analogies.

Heavy Depth values on older laptops still cost real time because each frame walks thousands of segments. If the preview stutters, lower Depth first before shrinking symmetry, since wedge mirroring is cheaper than extra concentric detail.

Stop expecting print-ready vectors from a browser canvas

The download is a PNG. Lines look crisp at the size you see because the canvas scales with your screen density, yet enlarging the file later still behaves like any bitmap. For posters, export while the preview occupies most of your monitor width.

Animation is a preview aid. The motion rotates phase angles inside the drawing functions. The saved PNG always reflects the static moment after you toggle Animate off.

Color palettes bias toward teaching-friendly contrast. They are not ICC-managed print proofs. If you need spiral-only studies with different growth laws, open the spiral generator alongside this page and compare how each engine interprets radial growth.

Which structure should you pick first?

ModeStrong when
Kaleidoscope raysYou want sharp wedges and quick feedback while changing symmetry.
Mandala ringsYou need concentric rhythm for lesson diagrams or meditation visuals.
SpiralYou emphasize growth from a center point with continuous hue shifts.
Polygon rosetteYou like faceted geometry before moving to tiled backgrounds.
Radial petalsYou want softer shapes without hard polygon corners.
Interlaced arcsYou need bold curves even though the weave is illustrative only.
Symmetry order
Counts how many identical slices fit around a full turn. Even orders line up nicely with rectangular crops; odd orders introduce asymmetry against square frames.
Depth
Controls how many layers or samples each mode draws. Higher numbers raise stroke counts and make files heavier even before you export.
Shuffle
Re-rolls palette anchors and micro jitter while respecting your selected mode so you explore without hand-editing every slider.
Privacy: drawing and download happen locally in your browser. Toolexe does not store your canvas or tie exports to an account.

Questions about exports, color, and motion

Short answers for classroom use and personal projects.

Why does my PNG look softer than the on-screen preview?

The preview respects device pixel ratio. Some viewers scale images with interpolation. Open the PNG at 100 percent zoom, or re-export after widening the browser window so the underlying canvas picks up more pixels.

Does Animate change the file I download?

No. Motion is only a preview. Pause Animate, then tap PNG to capture the frozen geometry.

How do I get calmer color?

Choose Graphite mono or lower Depth so fewer hues appear per ring. Complementary pair mode alternates two hues; switch to Analog sweep for gentler shifts.

Is the celtic-style output topologically correct?

No. Arcs overlap for a braided impression. For mathematically consistent knot diagrams you need specialized vector tools.

Is commercial use allowed for exported PNGs?

You own the pixels you export from your own session, yet you should still verify fonts, logos, or third-party assets you composite later. Toolexe does not watermark downloads.

Page content reviewed March 2026. Algorithms are heuristic previews, not proofs.