New algebraic and geometric constructs arising from Fibonacci numbers.

DOI10.1007/s00500-020-05256-1zbMath1498.68219OpenAlexW3082405305MaRDI QIDQ2156890

Giuseppe Pirillo, Gianfranco d'Atri, Mario Maiolo, Fabio Caldarola

Publication date: 21 July 2022

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-020-05256-1

zbMATH Keywords

Sturmian wordsFibonacci numbersapproximate constructionscomputing on wordsisogonal polygonslimit of wordsmechanical sequences

Mathematics Subject Classification ID

Combinatorics on words (68R15) Automata sequences (11B85) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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Cites Work

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• The origins of combinatorics on words
• Fibonacci words, hyperbolic tilings and grossone
• Infinite numerical computing applied to Hilbert's, Peano's, and Moore's curves
• New approaches to basic calculus: an experimentation via numerical computation
• Paradoxes of the infinite and ontological dilemmas between ancient philosophy and modern mathematical solutions
• The sequence of Carboncettus octagons
• On the arithmetic of Knuth's powers and some computational results about their density
• A new approach to the \(Z\)-transform through infinite computation
• The exact measures of the Sierpiński \(d\)-dimensional tetrahedron in connection with a Diophantine nonlinear system
• Numerical infinities and infinitesimals: methodology, applications, and repercussions on two Hilbert problems
• The Sierpinski curve viewed by numerical computations with infinities and infinitesimals
• Характеризация чисел Фибоначчи
• On Square Fibonacci Numbers

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