“Probable Nature of the Internal Symmetry of Crystals”

  title={“Probable Nature of the Internal Symmetry of Crystals”},
  author={Wm. Barlow},
IN reply to the important criticisms offered by Herr L. Sohncke on my new theory published iu NATURE of December 20 and 27, 1883 (pp. 186 and 205)— 
One hundred years of inorganic crystal chemistry – a personal view
It was suspected by Leucippus (fifth century BCE) that atoms had to be ordered, but no relationship between atomic order and crystals has been handed down to us from antiquity. In modern times,Expand
William Barlow’s early publications in the ‘Zeitschrift für Krystallographie und Mineralogie’ and their influence on crystal structure research
  • P. Paufler
  • Physics
  • Zeitschrift für Kristallographie - Crystalline Materials
  • 2019
Abstract The English crystallographer William Barlow is famous for two achievements, both published in German, in Zeitschrift für Krystallographie und Mineralogie between 1894 and 1901. They concernExpand
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Probable nature of higher-dimensional symmetries underlying mammalian grid-cell activity patterns
This work focuses on higher-dimensional stimulus domains, with particular emphasis on neural representations of physical space, and derives which neuronal lattice codes maximize spatial resolution, and shows that the hexagonal activity patterns of grid cells are optimal. Expand
What are all the best sphere packings in low dimensions?
We describe what may beall the best packings of nonoverlapping equal spheres in dimensionsn ≤10, where “best” means both having the highest density and not permitting any local improvement. ForExpand