Multidimensional "Paperfolding" Structures - Three and Four Dimensions

• Authors: S. Ben-Abraham , D. Flom , R. Richman , D. Shapira
• Languages of publication: EN

Abstracts

EN

We recapitulate our previously developed recursive algorithm for creating "paperfolding" structures in arbitrary dimensions. Here we explain and apply it specifically to three and four dimensions. We visualize the results by suitable projections. We also explicitly enumerate the number of "folds" in the first four generations of the recursion. We conjecture (without proof) that the Fourier spectrum of the structures is pure point (the Bragg peaks).

Keywords

EN

61.44.Br

Discipline

• 61.44.Br: Quasicrystals

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 2
• Pages: 435-437

Dates

published

2014-08

Contributors

author

S. Ben-Abraham

• Department of Physics, Ben-Gurion University of the Negev, POB 653, IL-84105 Beer-Sheva, Israel

author

D. Flom

• Department of Physics, Ben-Gurion University of the Negev, POB 653, IL-84105 Beer-Sheva, Israel

author

R. Richman

• Department of Physics, Ben-Gurion University of the Negev, POB 653, IL-84105 Beer-Sheva, Israel

author

D. Shapira

• The Racah Institute of Physics, The Hebrew University, IL-91904 Jerusalem, Israel

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Identifiers

DOI

10.12693/APhysPolA.126.435