The page in Dan Shechtman's laboratory notebook noting his April 8, 1982, discovery of a quasicrystal.  Whenever you see multiple exclamation points in a scientist's laboratory notebook, it's either very good news, or some equipment problem.  (Via Iowa State University).
Shechtman's discovery involved an alloy of aluminum that contained fourteen atomic percent manganese.[8]  The alloy was prepared by rapid solidification, a technique that inhibits motion of atoms as the material solidifies.  What Shechtman found using electron diffraction was concentric diffraction circles of ten equally-spaced dots; that is, the material exhibited ten-fold rotational symmetry.[6-7]
The spots were as sharp as for any crystal, but the diffraction indicated an icosahedral point group symmetry.  This meant that the lattice was not uniform under translation, and the diffraction couldn't be indexed to any Bravais lattice.[8]  Crystallography forbids 5-fold (and 10-fold) symmetry.
There was some background to the discovery.  Johannes Kepler, who was forever searching for order in the universe, presented quasicrystal-like patterns in his book Mysterium Cosmographicum.[4]  More recently, the mathematical physicist, Roger Penrose, created aperiodic tiling patterns (see figure).[4]  Penrose asked Shechtman if these tilings had any influence on his work.  Shechtman responded that, although he knew about them, they didn't come to mind during the time of his discovery.[4]
![]()  | A Penrose tiling (P3) using thick and thin rhombi.  The symmetry is five-fold, and the structure is aperiodic. (Via Wikimedia Commons).  |