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Revisited Leonardo Fibonacci law of Golden Mean as surface-centric approach for form sustainable in design [PDF]

2012 IEEE Symposium on Business, Engineering and Industrial Applications, 2012
The Golden Proportion is also known as the Golden Mean, Phi, or Divine Proportion, this law was made famous by Leonardo Fibonacci around 1200 A.D. He noticed that there was an absolute ratio that appears often throughout nature, a sort of design that is universally efficient in living things and pleasing to the human eye.
Abu Ali, Siti Salwa Isa, Siti Suriawati Isa   +2 more
exaly   +3 more sources

Non-Fisherian generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Using biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
doaj   +2 more sources

Bivariate Leonardo polynomials and Riordan arrays [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, bivariate Leonardo polynomials are defined, which are closely related to bivariate Fibonacci polynomials. Bivariate Leonardo polynomials are generalizations of the Leonardo polynomials and Leonardo numbers.
Yasemin Alp, E. Gökçen Koçer
doaj   +2 more sources

On approximation methods of Leonardo Fibonacci

Historia Mathematica, 1976
AbstractAs is well known, Leonardo da Pisa gave a very precise approximation for the only irrational root of the equation x3 + 2x2 + 10x = 20. Two hypotheses concerning his method were put forward in the XIX century. With good reason they were criticized by M. Cantor in his Vorlesungen.
S. Glushkov
openaire   +3 more sources

Leonardo Fibonacci and Frederick II: An encounter of Islamic mathematics with Europe

Bullettin of the Gioenia Academy of Natural Sciences of Catania
This note describes a very specific moment in history when Islamic mathematics and European culture came in contact with each other. While such contacts took place over several centuries, this note focuses on Leonardo Fibonacci’s experience in North Africa that led him to interact with the scientists at the court of Frederick II, Stupor Mundi.
D. Struppa
openaire   +2 more sources

Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers

Axioms
This article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas.
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Abdulrahim A. Alluhaybi, Amr Kamel Amin   +3 more
doaj   +2 more sources

Generalized Bronze Leonardo sequence [PDF]

Notes on Number Theory and Discrete Mathematics
In this study, we define the Bronze Leonardo, Bronze Leonardo–Lucas, and Modified Bronze Leonardo sequences, and some terms of these sequences are given. Then, we give special summation formulas, special generating functions, etc.
Engin Özkan, Hakan Akkuş
doaj   +2 more sources

Fibonacci Numbers that Are $$\eta$$-concatenations of Leonardo and Lucas Numbers

Proceedings of the Bulgarian Academy of Sciences
Let $$\{F_{r}\}_{r\geq0}$$, $$\{L_{r}\}_{r\geq0}$$ and $$\{Le_{r}\}_{r\geq0}$$ be $$r$$-th terms of Fibonacci, Lucas and Leonardo sequences, respectively. In this paper, we determined the effective bounds for the solutions of the Diophantine equation $$F_{r}=\eta^{k}Le_{s}+L_{t}$$ in non-negative integers $$r$$, $$s$$, $$t$$, where $$k$$ represents the
Taher, Hunar Sherzad, Dash, Saroj Kumar
openaire   +3 more sources

Cultural regeneration through urban design in Algeria. The case of Leonardo Fibonacci’s promenade in Bejaia

E3S Web of Conferences
Sustainable urban development requires the use of all available means, given the increasing competitive status of cities. Cultural regeneration is a widely used tool for urban development. This culture, which can be expressed in a multitude of ways, frequently necessitates physical places for its practice, in spite of the virtual advantages. The public
Mouhoubi Nedjima, Bakour Amira Kahina
openaire   +3 more sources

PERKEMBANGAN MATEMATIKA EROPA ABAD 13-16 : KONTRIBUSI LEONARDO FIBONACCI DALAM MEMPERKENALKAN KONSEP MATEMATIKA

Euclid
Matematika telah ada sejak zaman dahulu dan selalu mengalami perkembangan. Pada abad 13, matematika mengalami perkembangan di eropa terutama sejak diperkenalkannya sistem angka Hindu-Arab serta konsep-konsep lainnya oleh Leonardo Fibonacci dalam bukunya Liber Abaci, Eropa mengalami perubahan besar dalam cara mengolah dan memahami matematika.
Sarah Fadiya, null Yulyanti Harisman
openaire   +2 more sources