Hat Monotile

About Hat Monotile

The single thirteen-sided tile that covers the plane without ever repeating, grown by its own substitution rules, with every mirrored hat picked out in the accent.

Part of Tessellation Backgrounds. Runs 15 seconds by default, exports in 16:9, 9:16, 1:1 and 4:5, as MP4 or transparent WebM up to 8K.

Related animations

  • Four line grids at even angles are cut into squares and thin rhombs, giving an eight-fold tiling that never repeats however far it runs.

  • Six line grids meet at thirty degrees and their cells fall out as three rhombus shapes, building the twelve-fold rosettes of a dodecagonal quasicrystal.

  • Thin and thick rhombs subdivide at the golden ratio into a pattern that never repeats, then breathe in slow waves across the tiling.

  • Conway's right triangle splits into five smaller copies over and over, and because each turn is an irrational angle no two levels ever line up again.

  • Every gap between three touching circles is filled by the one circle that touches all three, over and over, until the whole disc is packed to the grain.

  • Overlapping shell fans lie in offset courses with rays struck across each one, and a diagonal wave lifts them course by course like a gilded ceiling.

  • A seeded board runs the neighbour rules forward generation by generation, then plays the whole run backwards so the loop closes exactly.

  • Two families of cord cross the frame on the diagonal, alternating course by course so one set rides over the other the way knotwork is drawn.