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Tessellation artist

Pick a tile, pick a colour, click to fill — make a pattern that has no gaps and no overlaps.

Tessellation artist

Pick a tile, pick a colour, click to fill — make a pattern with no gaps.

Colour

Triangles, squares and hexagons are the only regular shapes that tile a flat plane on their own — because their corner angles fit exactly into 360°.

Why these three?

Only three regular polygons can tile the plane on their own: triangles, squares and hexagons. Why?

The 360° rule

At every point where tiles meet, the angles around that point must add to exactly 360°. Triangles fit 6 × 60°. Squares 4 × 90°. Hexagons 3 × 120°. Pentagons (108°) leave a gap. Heptagons overshoot.

Try a pattern

  • Make a checkerboard (alternating colours on the squares).
  • Build a honeycomb on the hexagonal tile.
  • Stripe the triangles in three colours — every triangle is rotated 60° from its neighbour.

Beyond the regular three

Mix two shapes and you can build many semi-regular tessellations. Mix irregular shapes and you can tile anything — that's how M.C. Escher made art from interlocking lizards and birds.