the.com/tessellation
proof that math can tile a bathroom floor and blow your mind simultaneously
means The arrangement of shapes that fit together perfectly with no gaps or overlaps, repeating to cover a surface — like tiles on a floor or the cells of a honeycomb.
from From Latin 'tessella,' a small cube or square tile used in mosaics, itself a diminutive of 'tessera,' the little four-sided piece. 'Tessera' likely traces back to Greek 'tessares,' meaning four — fittingly, since the humblest tile has four sides. Roman floors were paved with thousands of these tesserae, so the word for fitting tiny squares together neatly was already ancient before mathematicians borrowed it to describe the geometry of the pattern itself.
- only three regulars
- Triangles, squares, hexagons tile alone perfectly
- bee genius
- Honeycombs use hexagons for max storage, min wax
- penrose twist
- Some patterns tile forever without ever repeating
- escher empire
- He built careers from interlocking birds and lizards
- deep root
- Latin tessella means a small mosaic tile
penrose tiling — non-periodic tessellation discovered by roger penrose in 1974 using only two tile shapes
honeycomb structure bees — natural hexagonal tessellation created by honeybees to maximize storage with minimal wax