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http://dx.doi.org/10.7858/eamj.2015.048

SELF SIMILAR TILES ARISING FROM THE UNITARY NUMBER SYSTEMS IN EUCLIDEAN RINGS OF IMAGINARY QUADRATIC INTEGERS  

SIM, HYO-SEOB (DEPARTMENT OF APPLIED MATHEMATICS, PUKYONG NATIONAL UNIVERSITY)
SONG, HYUN-JONG (DEPARTMENT OF APPLIED MATHEMATICS, PUKYONG NATIONAL UNIVERSITY)
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Abstract
In [7], it was shown that Euclidean rings R of imaginary quadratic integers admit unitary number systems. In this paper, as an application of the result, we obtain all self similar tiles arising from the unitary number systems of R.
Keywords
Euclidean rings; Imaginary quadratic integers; Complex base number systems; Self similar tiles; Fractional sets;
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Times Cited By KSCI : 1  (Citation Analysis)
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