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Volume 32, Number 2, pages 137-140 (2021)
https://doi.org/10.26830/symmetry_2021_2_137
NEW MEMBERS FOR THE CLASS OF PENROSE NONPERIODIC TILINGS OF THE PLANE
Robert Earl Dewar*
* 11600 Bonanza Dr., Tehachapi, CA 93561, U.S.A.
E-mail: robertearldewar1@gmail.com
Abstract: There are an uncountable number of tile patterns in the class of Penrose nonperiodic tilings of the plane that are hypothetically derivable from the dozen or so of those that are known. I recently found one that has useful and aesthetic properties for art and architectural applications.
Keywords: aperiodic tiles, nonperiodic tiling, Penrose tiling, HBS tiling, DKL tiling, KDk tiling.
References:
Gardner, M. (1977) Mathematical games: Extraordinary nonperiodic tiling that enriches the theory of tiles. Scientific American, 236, 1, 110-121. https://doi.org/10.1038/scientificamerican0177-110
Lord, E.A. (1991) Quasicrystals and Penrose patterns. Current Science, 61, 5, 313-319.
Lord, E.A., Ranganathan, S. (2001) The Gummelt decagon as a ‘quasi unit cell’. Acta Crystallographica, A57, 531-539. https://doi:10.1107/s0108767301007504
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