Vertex frequencies of the hierarchical dodecagonal tiling

B. Rubinstein; S. I. Ben-Abraham

doi:10.1080/00150190108225115

Vertex frequencies of the hierarchical dodecagonal tiling

B. Rubinstein
, S. I. Ben-Abraham

Department of Physics

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

The frequency of occurrence of a configuration, such as a vertex, is an important characteristic of a tiling. Conventionally one deduces this frequency from the volume of the corresponding acceptance domain (alias window) in perpendicular space. The method fails in the case of the Stampfli tiling which has a fractal window. We have overcome this difficulty by using the inflation symmetry of the square-triangle tiling.

Original language	English
Pages (from-to)	417-419
Number of pages	3
Journal	Ferroelectrics
Volume	250
Issue number	1-4
DOIs	https://doi.org/10.1080/00150190108225115
State	Published - 1 Jan 2001
Event	APERIODIC Conference - Nijmegen, Netherlands Duration: 4 Jul 2000 → 8 Jul 2000

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1080/00150190108225115

Cite this

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title = "Vertex frequencies of the hierarchical dodecagonal tiling",

abstract = "The frequency of occurrence of a configuration, such as a vertex, is an important characteristic of a tiling. Conventionally one deduces this frequency from the volume of the corresponding acceptance domain (alias window) in perpendicular space. The method fails in the case of the Stampfli tiling which has a fractal window. We have overcome this difficulty by using the inflation symmetry of the square-triangle tiling.",

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AU - Rubinstein, B.

AU - Ben-Abraham, S. I.

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N2 - The frequency of occurrence of a configuration, such as a vertex, is an important characteristic of a tiling. Conventionally one deduces this frequency from the volume of the corresponding acceptance domain (alias window) in perpendicular space. The method fails in the case of the Stampfli tiling which has a fractal window. We have overcome this difficulty by using the inflation symmetry of the square-triangle tiling.

AB - The frequency of occurrence of a configuration, such as a vertex, is an important characteristic of a tiling. Conventionally one deduces this frequency from the volume of the corresponding acceptance domain (alias window) in perpendicular space. The method fails in the case of the Stampfli tiling which has a fractal window. We have overcome this difficulty by using the inflation symmetry of the square-triangle tiling.

UR - https://www.scopus.com/pages/publications/0034821927

U2 - 10.1080/00150190108225115

DO - 10.1080/00150190108225115

M3 - Conference article

AN - SCOPUS:0034821927

SN - 0015-0193

VL - 250

SP - 417

EP - 419

JO - Ferroelectrics

JF - Ferroelectrics

IS - 1-4

T2 - APERIODIC Conference

Y2 - 4 July 2000 through 8 July 2000

ER -

Vertex frequencies of the hierarchical dodecagonal tiling

Abstract

ASJC Scopus subject areas

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