Fractals related to Pascal's triangle

DOI10.1007/BF00047167zbMath0874.28011OpenAlexW1968470255MaRDI QIDQ1906802

Jaime Muñoz Masqué, I. Jiménez Calvo

Publication date: 6 November 1997

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00047167

zbMATH Keywords

Hausdorff dimensionHausdorff measurefractalsself-similar setsbinomial coefficientsprime numbersPascal's trianglenonself-similarity

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Topological dynamics (37B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80) Hausdorff and packing measures (28A78) Factorization; primality (11A51)

Cites Work

• On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
• The number of binomial coefficients divisible by a fixed power of a prime
• On Binomial Coefficient Residues
• Geometry of Binomial Coefficients
• On Prime Divisors of Binomial Coefficients
• Computing Binomial Coefficients
• On a new class of planar fractals: the Pascal-Sierpinski gaskets
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