Heptagonal quasicrystals: Construction of 2D lattices and demonstrations using laser pointers – Concluding part


  • Vladimir M. Petruševski Institute of Chemistry, Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius University in Skopje https://orcid.org/0000-0002-4796-4929
  • Sašo Kalajdžievski University of Manitoba, Canada




quasicrystals, heptagonal tiling, diffraction patterns, laser pointers


Photographic slides of an aperiodic heptagonal tiling were used as two-dimensional diffraction gratings (as a standard approach) to describe and demonstrate the basic properties of dodecagonal quasicrystals. The paper completes our earlier two publications dealing with (1) Penrose (decagonal) and Ammann (octagonal) quasicrystals and (2) dodecagonal quasicrystals, the diffraction gratings of which were constructed and presented in an analogous manner.

Author Biographies

Vladimir M. Petruševski, Institute of Chemistry, Faculty of Natural Sciences and Mathematics, Ss. Cyril and Methodius University in Skopje

Sašo Kalajdžievski, University of Manitoba, Canada

Professor of Methematics


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2023-04-28 — Updated on 2023-07-01


How to Cite

Petruševski, V. M., & Kalajdžievski, S. (2023). Heptagonal quasicrystals: Construction of 2D lattices and demonstrations using laser pointers – Concluding part. Macedonian Journal of Chemistry and Chemical Engineering, 42(1), 127–131. https://doi.org/10.20450/mjcce.2023.2675 (Original work published April 28, 2023)