the.com/tiling

The only art form that physics, math, and your bathroom floor all agree on.

means The act or result of covering a surface with shapes—often repeating—so they fit together without gaps or overlaps, whether on a floor, wall, or computer screen.

from From 'tile,' which comes from Old English 'tigele,' itself borrowed from Latin 'tegula'—a tile—rooted in the verb 'tegere,' 'to cover' (a cousin of words like 'protect' and 'detect,' all about covering or uncovering). The '-ing' is the plain English suffix turning the act into a noun, so 'tiling' is literally 'the covering-with-tiles.' Mathematicians later borrowed the word for any gap-free covering of the plane, keeping faith with that ancient Latin idea of laying things down to cover a surface.

forbidden symmetry
Penrose tiles never repeat, breaking math's old rules
nobel echo
Quasicrystals matching them won a 2011 chemistry Nobel
the hat
2023's single shape tiles infinitely without ever repeating
only three
Just triangle, square, hexagon tile floors alone
islamic genius
Medieval artisans built quasicrystals 500 years before physicists
for instance

penrose tiling — non-periodic pattern discovered by roger penrose in 1974 using two rhombus shapes

islamic geometric tiling — intricate patterns covering walls and floors in the alhambra palace in granada, spain since 1354

hexagonal tiling — six-sided honeycomb pattern found naturally in bee hives and used in bathroom floors worldwide

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