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Connecting icosahedral and dodecagonal order

Published/Copyright: July 28, 2010
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Zeitschrift für Kristallographie - Crystalline Materials
From the journal Zeitschrift für Kristallographie - Crystalline Materials Volume 213 Issue 2

Abstract

A mapping is presented which transforms a flat square-triangle tiling with dodecagonal symmetry into a corrugated layer of tiles, whose edges are oriented parallel to the symmetry axes of an icosahedron. This can be considered as an intermediate state between the icosahedral and the dodecagonal one.

Published Online: 2010-7-28
Published in Print: 1998-2-1

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Articles in the same Issue

  1. Al13Os4-type monoclinic phase and its orthorhombic variant in the Al–Co alloy system
  2. Connecting icosahedral and dodecagonal order
  3. A warning in indexing triclinic powder diffraction data
  4. A lithium molybdenum(V) monophosphate, Li3(MoO)2(PO4)3 structurally related to Li2Na(MoO)2(PO4)3
  5. Crystal structure of a cubic Al70Pd23Mn6Si; a 2/1 rational approximant of an icosahedral phase
  6. The crystal chemistry of doyleite, Al(OH)3
  7. Single crystal Mössbauer and neutron powder diffraction measurements on the synthetic clinopyroxene Li-acmite LiFeSi2O6
  8. New phases RCu5Sn (R=La, Ce, Pr, Nd, Sm, Gd) and Ce2Cu9Sn2.65
  9. The crystal structure of 2,3-dihydro-2,2,4-trimethyl-1H-1,5-benzodiazepinium perchlorate
  10. Structure of (E)-6,7,8,9-tetradeoxy-1,2:3,4-di-O-isopropylidene-7-nitro-α-D-galacto-non-6-eno-1,5-pyranose
  11. Crystal structure of guanidinium squarate dihydrate: C4O4 · 2C(NH2)3 · 2H2O
  12. Single crystal structure determination of cetylpyridiniumammonium bromide and Rietveld structure determination of cetylquinuclidinium bromide
  13. The modulated structure of 4-hydroxyphenyl 6-O-[(3R)-3,4-dihydroxy-2-methylenebutanoyl]-β-D-glucopyranoside, C17H22O10
https://doi.org/10.1524/zkri.1998.213.2.79

Articles in the same Issue

  1. Al13Os4-type monoclinic phase and its orthorhombic variant in the Al–Co alloy system
  2. Connecting icosahedral and dodecagonal order
  3. A warning in indexing triclinic powder diffraction data
  4. A lithium molybdenum(V) monophosphate, Li3(MoO)2(PO4)3 structurally related to Li2Na(MoO)2(PO4)3
  5. Crystal structure of a cubic Al70Pd23Mn6Si; a 2/1 rational approximant of an icosahedral phase
  6. The crystal chemistry of doyleite, Al(OH)3
  7. Single crystal Mössbauer and neutron powder diffraction measurements on the synthetic clinopyroxene Li-acmite LiFeSi2O6
  8. New phases RCu5Sn (R=La, Ce, Pr, Nd, Sm, Gd) and Ce2Cu9Sn2.65
  9. The crystal structure of 2,3-dihydro-2,2,4-trimethyl-1H-1,5-benzodiazepinium perchlorate
  10. Structure of (E)-6,7,8,9-tetradeoxy-1,2:3,4-di-O-isopropylidene-7-nitro-α-D-galacto-non-6-eno-1,5-pyranose
  11. Crystal structure of guanidinium squarate dihydrate: C4O4 · 2C(NH2)3 · 2H2O
  12. Single crystal structure determination of cetylpyridiniumammonium bromide and Rietveld structure determination of cetylquinuclidinium bromide
  13. The modulated structure of 4-hydroxyphenyl 6-O-[(3R)-3,4-dihydroxy-2-methylenebutanoyl]-β-D-glucopyranoside, C17H22O10
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