Fractals related to Pascal's triangle |
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| Authors: | I Jiménez Calvo J Muñoz Masqué |
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| Institution: | (1) Instituto de Electrónica de Communicaciones, C.S.I.C., C/Serrano 144, 28006 Madrid, Spain |
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| Abstract: | A precise definition of a fractalF
p
r
1 derived from Pascal's triangle modulop
r
(p prime) is given. The number of nonzero terms in the firstp
s
lines of Pascal's triangle modulop
r
is computed. From this result the Hausdorff dimension and Hausdorff measure ofF
p
r
1 are deduced. The nonself-similarty ofF
p
r
1,r 2, is also discussed. |
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| Keywords: | Primary 28A80 58F08 Secondary 28A78 05A10 11B65 11A07 11A41 11A51 11A63 |
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