East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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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)
  • Received : 2015.08.31
  • Accepted : 2015.09.10
  • Published : 2015.09.30
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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.

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Acknowledgement

Supported by : Pukyong National University

References

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