Third-order Fibonacci sequence associated to a heptagonal quasiperiodic tiling of the plane

A heptagonal tiling of the plane is proposed. Using five basic forms a pattern which presents self-similarity is obtained. This pattern exhibits rotational symmetry, and no translational invariance.

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Bibliographic Details
Published in:Physics letters. A 1993-07, Vol.178 (1), p.119-122
Main Author: Franco, B.J.O
Format: Article
Language:English
Subjects:
Exact sciences and technology
Logic, set theory, and algebra
Mathematical methods in physics
Physics
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Summary:A heptagonal tiling of the plane is proposed. Using five basic forms a pattern which presents self-similarity is obtained. This pattern exhibits rotational symmetry, and no translational invariance.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(93)90737-K