논문KCI 등재
Self similar tiles arising from the unitary number systems in Euclidean rings of imaginary quadratic integers
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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.
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.
참고문헌 (7)
- C. Bandt, "Classification of Self-Affne Lattice Tilings", Journal London Mathematical Society, 50(3), pp.581~593 (1994)
- K. Falconer, "Fractal Geometry, Mathematical Foundations and Applications" (1990), Wiley
- S.I. Khmelnik, "Specialized digital computer for operations with complex numbers", Questions of Radio Electronics, 7(2) (1964)
- S.I. Khmelnik, "Positional coding of complex numbers", Questions of Radio Electronics, 7(9) (1966)
- D.E. Knuth, "An Imaginary Number System", Communication of the ACM, 3(4) (1960)
- W. Penney, "A "binary" system for complex numbers", JACM, 12, pp.247~248 (1965)
- 심효섭, "Number Systems Pertaining to Euclidean Rings of Imaginary Quadratic Integers", East Asian Mathematical Journal, 31(3), pp.357~362 (2015), 영남수학회[DOI]
관련 논문AI추천
Number Systems Pertaining to Euclidean Rings of Imaginary Quadratic Integers송현종, 심효섭영남수학회 · East Asian Mathematical Journal2015 · 제31권 제3호Infinitely many regular subnormal binary Hermitian lattices over imaginary quadratic fields김병문, 김지영, 박부성영남수학회 · East Asian Mathematical Journal2012 · 제28권 제3호FINITENESS THEOREMS FOR 2-UNIVERSAL HERMITIAN LATTICES OVER SOME IMAGINARY QUADRATIC FIELDS박부성영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호Generalized Continued Fraction Algorithm for the Index 3 Sublattice김동한한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제4호Number theoretical properties of Romik's dynamical system김동한, Byungchul Cha대한수학회 · 대한수학회보2020 · 제57권 제1호Unit groups of quotient rings of integers in some cubic fieldsAjchara Harnchoowong, Pitchayatak Ponrod대한수학회 · 대한수학회논문집2017 · 제32권 제4호
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