📜 Theorem, law or theory

Penrose tiling

Teselación de Penrose

Date
1974 · confidence high
Place
University of Oxford, Oxford, United Kingdom
Credited to
Roger Penrose
Field
Knowledge & symbols

What was discovered

Penrose found sets of just two shapes (rhombi, or 'kites and darts') that tile the plane completely without ever repeating periodically, with five-fold symmetry. The diffraction pattern of these tilings later helped explain quasicrystals, discovered by Dan Shechtman (2011 Nobel Prize in Chemistry).

What it led to

  • The theoretical understanding of quasicrystals (Shechtman, 1982/2011 Nobel)
  • Mathematical study of aperiodic tilings

Built on

  • Wang and Berger's aperiodic tile sets (1960s)

Links

Sources✓ verified 2026-09-28