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Fractals related to Pascal's triangle

✍ Scribed by I. Jiménez Calvo; J. Muñoz Masqué

Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
786 KB
Volume
42
Category
Article
ISSN
0167-8019

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✦ Synopsis

A precise definition of a fractal F¢, derived from Pascal's triangle modulo p~ ( p prime) is given. The number of nonzero terms in the first pS lines of Pascal's triangle modulo pr is computed. From this result the Hausdorff dimension and Hausdorff measure of Fv ~. are deduced. The nonself-similarty of Fvl,, r /> 2, is also discussed.

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