The Second Kind of Impossible

by Paul Steinhardt

  Tohoku University, 73, 110–11

  Toner, John, 29, 32

  cubatic phase theory with Nelson, 29

  Traité de Minéralogie (Haüy), 16

  triangles, periodic tiling vs. nonperiodic tiling of, 42

  triangular prism, 17, 17

  Tsai, An-Pang, 73, 110–11, 111, 113, 146, 149, 346, 358

  tundra, 249–50, 254–56, 293

  tungsten carbide anvil cell, 338

  Turok, Neil, 131

  twelve-fold rotational symmetry, 100

  UCLA slicing fiasco, 124–25

  universe:

  cyclic theory of, 131

  inflationary theory of, 67–68

  origin of, 40, 181

  University of Texas High-Resolution X-ray Computed Tomography Facility, 334–35

  von Laue, Max, 23, 24

  Vonnegut, Kurt, 37, 50, 64

  Vyal’sov, Leonid, 164

  Western Lakes Gas Field, 294

  Wieler, Rainer, 339–43, 340

  Will’s Hole, 279–81, 314

  X-ray diffraction pattern, 24, 25, 119, 338

  of Grain #5, 305–6, 309

  of khatyrkite, 133–35, 137–40, 142–47

  of quasicrystals, 70–72, 102–3, 112

  X-ray powder diffraction pattern, 121

  X-rays, 23–24, 25

  X-ray tomography test, 334, 336

  Yao, Nan, 118–19, 125, 134, 136–43, 137, 142–46, 330

  and discovery of first natural quasicrystal, icosahedrite, 142–46, 144

  and Chaney, 327

  and Science article (“Natural Quasicrystals”) announcing discovery of first natural quasicrystal, icosahedrite, 183, 186, 187, 190,

  Yudovskaya, Marina, 238, 242, 244, 248, 261, 261, 270, 274, 289, 306, 321, 331

  * * *

  IMAGE CREDITS

  INTERIOR IMAGES

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  111: Photo courtesy of An-Pang Tsai

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  122: From Bindi, Steinhardt, Yao, and Lu, Science, Vol. 324, 1306–1309, June 5, 2009

  129: Photo by Glenn MacPherson

  137: Photo courtesy of Nan Yao

  141: Photo courtesy of Nan Yao

  143: Photo by Nan Yao

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  149 (left): Photo courtesy of An-Pang Tsai

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  150: Photo courtesy of Lincoln Hollister

  164: From L.V. Razin, N.S. Rudashevskij, N.V. Vyalsov, Zapiski Vses Mineral Obshch., Vol. 114, 90 (1985).

  166: Maps by Paul J. Pugliese

  187: From Bindi, Steinhardt, Yao, and Lu, Science, Vol. 324, 1306–1309, June 5, 2009

  195: Photo by Luca Bindi

  199: Photo by Luca Bindi

  203: From L.V. Razin, N.S. Rudashevskij, N.V. Vyalsov, Zapiski Vses Mineral Obshch., Vol. 114, 90 (1985).

  217: Photo by Luca Bindi

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  231: Photo by William Steinhardt

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  263: Photo by William Steinhardt and Richard Soden

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  312: Photo by Glenn MacPherson

  315: Photo by Luca Bindi

  328: Photo courtesy of Chaney Lin

  329: Photo by Nan Yao

  332: Photo by author

  340: Photo courtesy of Henner Busemann, ETH Zurich

  344: Photo by Luca Bindi

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  347: Photo by Chi Ma

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  350: Photo by Paul Asimow and Richard Soden

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  353: Photo by Chi Ma

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  8: Photo by William Steinhardt

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