Tile the plane six real ways -- hexagons, triangles, squares, basketweave, rhombi, and octagons-with-squares -- in a seeded colour scheme, copyable as SVG.
A tessellation is a covering of the plane by shapes that meet edge to edge with no gaps and no overlaps. Only three regular polygons manage it alone -- the triangle, the square, and the hexagon -- because their interior angles are the only ones that divide 360 degrees evenly. Combining two or more regular polygons gives the eight semiregular tilings, of which the truncated square, octagons with small squares in the gaps, is the most familiar from bathroom floors. Everything beyond that -- Escher's interlocking birds, Penrose's non-repeating tiles -- works by distorting or restricting those same rules.
Every press draws one of six real plane tilings -- Hexagonal, Triangular, Square, Basketweave, Rhombic, and the semiregular Truncated Square -- at a seeded scale, rotation, and colour scheme. The tiles genuinely tessellate: they are generated on the tiling's own lattice, so they meet edge to edge with no gaps, and the pattern is rotated inside its frame so it reads as a piece of an infinite plane rather than a grid that happens to fit the card.
Every result here is drawn using crypto.getRandomValues() -- the Web Crypto API's cryptographically secure randomness -- instead of Math.random(), so it's genuinely unpredictable, not just statistically random. Learn more.
Generate a background, a fabric or tile pattern, a quilt block layout, or a colour study. Teachers use runs of them to show which shapes tile and which don't, and the SVG copies out cleanly for cutting machines, screen printing, or CSS backgrounds.
Each press draws a 32-bit seed from the site's cryptographically secure randomness and picks a tiling -- from your filtered selection, if you've set one. The seed sets the tile size, the rotation of the whole pattern, a base hue, and how far the two companion colours sit from it, then assigns each tile one of the three. The seed under the drawing rebuilds it exactly.
Of the regular polygons, only equilateral triangles, squares, and hexagons -- their angles are the only ones that divide 360 degrees evenly. Pentagons famously don't, though fifteen irregular pentagon families do, the last of which was only found in 2015.
One using two or more different regular polygons, arranged so every vertex looks the same. There are exactly eight, and the Truncated Square in this generator -- octagons with squares filling the gaps -- is one of them.
Yes. Copy the SVG from the corner of the card; it's a plain vector with no external references, so it scales to any size and imports into design and cutting software directly.
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