The division algorithm in complex bases

Canadian Mathematical Bulletin

Volumn 39, Issue 1, 1996, Pages 47-54

  Gilbert, William J ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030447421     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-1996-006-1     Document Type: Article

References (9)

1. M. F. Barnsley, Fractals everywhere, 2nd ed., Academic Press, New York, 1993.
2. W. J. Gilbert, Radix representations of quadratic fields, J. Math. Anal. Appl. 83(1981), 264-274.
3. _, Complex numbers with three radix expansions, Canad. J. Math. 34(1982), 1335-1348.
4. _, Arithmetic in complex bases, Math. Mag. 57(1984), 77-81.
5. J. E. Hutchinson, Fractals and self similarity, Indiana Univ. Math. J. 30(1981), 713-747.
6. I. Káiti and J. Szabó, Canonical number systems for complex integers, Acta Sci. Math. (Szeged) 37(1975), 255-260.
7. D. E. Knuth, The art of computer programming, Vol. 2, Seminumerical algorithms, 2nd ed., Addison-Wesley, Reading, Massachusetts, 1981.
8. D. W. Matula, Basic digit sets for radix representation, J. Assoc. Comput. Mach. 29(1982), 1131-1143.
9. P. Prusinkiewicz and G. Sandness, Koch curves as attractors and repellers, IEEE Comput. Graphics Appl. (6) 8(1988), 26-40.