Fractiles derived from generalized digit systems

Fractals

Volumn 4, Issue 4, 1996, Pages 495-500

  Song, H J ^a   Kang, B S ^b  

^a National Fisheries University   (South Korea)

^b Kosin University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3142556454     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X96000601     Document Type: Article

References (11)

1. M. Barnsley, Fractals Everywhere, 2nd ed. (Academic Press, New York, 1993).
2. A. Bunde and S. Havlin, Fractals in Science (Springer Verlag, New York, 1994).
3. C. David and D. E. Knuth, "Number representations and dragon curves, I, II," J. Recreational Math. 3, 66-81 & 133-149 (1970).
4. F. M. Dekking, "Recurrent sets" Advances in Math. 44, 78-104 (1982).
5. F. M. Dekking, "Replicating superfigures and endomorphisms of free groups," J. Combinatorial Theory, Series A 32, 315-320 (1982).
6. G. Edgar, Measure, Topology, and Fractal Geometry (Springer Verlag, New York, 1990).
7. W. J. Gilbert, "Complex numbers with three radix expansions," Canadian J. Math. 34, 1335-1348 (1982).
8. W. J. Gilbert, "Fractal geometry from complex bases," Math. Intelligencer, 4, 78-86 (1982).
9. W. J. Gilbert, "The fractal dimension of sets derived from complex bases," Canadian Math. Bull. 29(4), 495-500 (1986).
10. J. Giles, Jr. "Construction of replicating superfigures," J. Combinational Theory Ser. A 26, 328-334, 335-337 (1979).
11. B. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman and Company, New York, 1983).