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Tiles in quasicrystals with quartic irrationality
Author(s):
Kevin
G.
Hare.
Journal:
Math. Comp.
78
(2009),
405-420.
MSC (2000):
Primary 52C23
Posted:
May 14, 2008
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Abstract:
In 2003, Pelantová and Twarock did research into the number of, and types of, tiles found in 1-dimensional cut and project quasicrystals associated with 7-order symmetry. In this paper we extend this to symmetries of order 9 (degree 3), as well as orders 15, 16, 20 and 24 (degree 4). Some discussion of the next case, order 11 (degree 5), is given.
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Additional Information:
Kevin
G.
Hare
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1
Email:
kghare@math.uwaterloo.ca
DOI:
10.1090/S0025-5718-08-02137-6
PII:
S 0025-5718(08)02137-6
Received by editor(s):
September 12, 2007
Received by editor(s) in revised form:
January 10, 2008
Posted:
May 14, 2008
Additional Notes:
The research of K. G. Hare was supported, in part, by NSERC of Canada. Computational support was provided for, in part, by the Canadian Foundation for Innovation and the Ontario Research Fund.
Copyright of article:
Copyright
2008,
by the author
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