caa a22 4500 477077102 CHVBK 20180405111441.0 cr unu---uuuuu 170330e19960201xx s 000 0 eng 10.1007/BF00047167 doi (NATIONALLICENCE)springer-10.1007/BF00047167 Fractals related to Pascal's triangle [Elektronische Daten] [I. Calvo, J. Masqué] 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. Kluwer Academic Publishers, 1996 Primary 28A80 nationallicence 58F08 nationallicence Secondary 28A78 nationallicence 05A10 nationallicence 11B65 nationallicence 11A07 nationallicence 11A41 nationallicence 11A51 nationallicence 11A63 nationallicence binomial coefficients nationallicence fractals nationallicence Hausdorff measure nationallicence primary numbers nationallicence self-similar sets nationallicence Calvo I. Instituto de Electrónica de Communicaciones, C.S.I.C., C/Serrano 144, 28006, Madrid, Spain aut Masqué J. Instituto de Electrónica de Communicaciones, C.S.I.C., C/Serrano 144, 28006, Madrid, Spain aut Acta Applicandae Mathematica Kluwer Academic Publishers; gopher://gopher.wkap.nl 42/2(1996-02-01), 139-159 0167-8019 42:2<139 1996 42 10440 https://doi.org/10.1007/BF00047167 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00047167 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Calvo I. Instituto de Electrónica de Communicaciones, C.S.I.C., C/Serrano 144, 28006, Madrid, Spain aut NATIONALLICENCE 700 1- Masqué J. Instituto de Electrónica de Communicaciones, C.S.I.C., C/Serrano 144, 28006, Madrid, Spain aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers; gopher://gopher.wkap.nl/ 42/2(1996-02-01), 139-159 0167-8019 42:2<139 1996 42 10440 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer