TITLE

The Search for Quasi-Periodicity in Islamic 5-fold Ornament

AUTHOR(S)
Cromwell, Peter R.
PUB. DATE
January 2009
SOURCE
Mathematical Intelligencer;Winter2009, Vol. 31 Issue 1, p44
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The article discusses the tiling-based method for constructing Islamic geometric designs. According to the author, the basic technique can be varied and elaborated in many ways leading to a wide variety of complex and intricate designs. It examines some traditional designs that depicts features comparable with quasi-periodic tilings, as well as assess the evidence for the presence of quasi-periodicity in Islamic art.
ACCESSION #
36277568

 

Related Articles

  • Rauzy tilings and bounded remainder sets on the torus. Zhuravlev, V. G. // Journal of Mathematical Sciences;Aug2006, Vol. 137 Issue 2, p4658 

    For the two-dimensional torus $$\mathbb{T}^2 $$ , we construct the Rauzy tilings d0 ⊃ d1 ⊃ ... ⊃ dm ⊃ ..., where each tiling dm+1 is obtained by subdividing the tiles of dm. The following results are proved. Any tiling dm is invariant with respect to the torus shift S(x) = x+...

  • Convex Pentagons for Edge-to-Edge Tiling, II. Sugimoto, Teruhisa // Graphs & Combinatorics;Jan2015, Vol. 31 Issue 1, p281 

    Based on Bagina's Proposition, it has previously been demonstrated that there remain 34 cases where it is uncertain whether a convex pentagon can generate an edge-to-edge tiling. In this paper, these cases are further refined by imposing extra edge conditions. To investigate the resulting 42...

  • Tilings of Convex Polygons with Congruent Triangles. Laczkovich, M. // Discrete & Computational Geometry;Sep2012, Vol. 48 Issue 2, p330 

    By the spectrum of a polygon A we mean the set of triples ( α, β, γ) such that A can be dissected into congruent triangles of angles α, β, γ. We propose a technique for finding the spectrum of every convex polygon. Our method is based on the following classification. A tiling...

  • An Irreducible Rectangle Tiling Contains a Spiral. Motohashi, Tomoe; Taniyama, Kouki // Journal of Geometry;2008, Vol. 90 Issue 1/2, p175 

    We consider a tiling of a square by finitely many tiles each of which is a rectangle. We do not assume that the tiles are mutually congruent. Such a tiling is called irreducible if for any two tiles the union of them is not a rectangle. A tiling is called generic if no four tiles meet in a...

  • Some novel three-dimensional Euclidean crystalline networks derived from two-dimensional hyperbolic tilings. Hyde, S. T.; Ramsden, S. // European Physical Journal B -- Condensed Matter;Jan2003, Vol. 31 Issue 2, p273 

    : We demonstrate the usefulness of two-dimensional hyperbolic geometry as a tool to generate three-dimensional Euclidean (E3) networks. The technique involves projection of edges of tilings of the hyperbolic plane (H2) onto three-periodic minimal surfaces, embedded in E3. Given the extraordinary...

  • Complexity of products of modal logics. Marx, M // Journal of Logic & Computation;Apr99, Vol. 9 Issue 2, p197 

    Presents a study on the complexity of products of modal logics that shows that in many cases there is a drastic increase in complexity, e.g., all products containing the finite S5 x S5 products as models have an NEXPTIME-hard satisfaction problem. Methods; Conclusions.

  • One-dimensional Tilings Using Tiles with Two Gap Lengths. Nakamigawa, Tomoki // Graphs & Combinatorics;Mar2005, Vol. 21 Issue 1, p97 

    Letn,p,k,q,lbe positive integers withn=k+l+1. Letx1,x2, . . . ,x n be a sequence of positive integers withx1

  • A strongly aperiodic set of tiles in the hyperbolic plane. Goodman-Strauss, Chaim // Inventiones Mathematicae;Jan2005, Vol. 159 Issue 1, p119 

    We construct the first known example of astrongly aperiodicset of tiles in the hyperbolic plane. Such a set of tiles does admit a tiling, but admits no tiling with an infinite cyclic symmetry. This can also be regarded as a �regular production system� [5] that does admit bi-infinite...

  • On the Communication Between Cells of a Cellular Automaton on the Penta- and Heptagrids of the Hyperbolic Plane. Margenstern, Maurice // Journal of Cellular Automata;2006, Vol. 1 Issue 4, p213 

    This contribution belongs to a combinatorial approach to hyperbolic geometry and it is aimed at possible applications to computer simulations. It is based on the splitting method which was introduced by the author and which is reminded in the second section of the paper. Then we sketchily remind...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics