The concept of quasicrystals — along with the term — was first introduced in 1984 by Steinhardt and Dov Levine, both then at the University of Pennsylvania. — Wikipedia: Icosahedrite
They realized that by drawing parallel lines on a Penrose tiling, they could prove that the tiles are arranged quasiperiodically, producing five-fold symmetry. This was the breakthrough they needed. The leap to three dimensions produced Steinhardt’s long-imagined icosahedral quasicrystal. — Quasicrystals: The Thrill of the Chase
To say that the decimal expansion of some numbers, like π, never repeats begs the question of the definition of "repeat." And that because they do repeat, an infinite number of times in an infinite number of ways. Consider: the representing decimal numeral is made of ten fundamental parts, 0 through 9, and these repeated (an infinite number of times - infinity times - IT). Also the two-numeral combinations, 00 through 99, also repeated IT. And the three, 000-999, IT, and the four, 0000 through 9999 IT, and so on. — tim wood
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