Add to ORKGThe Golden Ratio appears in many situations: in geometry, in lists with special numbers drawn up by mathematicians, in art history lectures, in rose petals arrangement or spiral shells of mollusks. This paper presents definitions and algebraic properties of Golden Section and their applications in geometry, in the calculation pentagon and decagon sides and area, and volume of Platonic solids. Golden Ratio occurrences are analyzed in geometric shapes as Golden Triangle, Golden Rectangle and Golden Gnomon. Different expressions involving radicals that continue indefinitely and continued fractions with Golden Section value are given and discussed. It is also revealed the connection between the Fibonacci series and the Golden Ratio. Are present...
The structure of the decimal expansion of the Golden Ratio is examined in decimal and modular forms ...
This paper explains how to obtain the number phi using a square with side length equal to a, the rig...
This series of articles will explore an amazing connection between three different objects in mathem...
The Golden Ratio, also known as the Golden Section, exists as a proportion of lengths. Calculated to...
The golden ratio, or phi (φ = 1.6180339887...), is a ratio that has interested mathematicians as wel...
The issue of the golden section is unknown for many people and that is the reason why my main aim wa...
Golden Section Gabriela Novotná Abstract The first chapters of this thesis deal not only with the hi...
Regular pentagon is a geometric figure which had a relevant symbolic meaning in Pythagorean and Plat...
The regular pentagon had a symbolic meaning in the Pythagorean and Platonic philosophies and a subse...
The present thesis deals with golden section in geometry, which can be constructed in many different...
In this paper a short history of the Golden Section is described, that began from the geometric stu...
The golden section is one of many mathematical discoveries which originated simply as the solution t...
Abstract: The interesting thing about mathematical concepts is that we can trace their development o...
Abstract: The interesting thing about mathematical concepts is that we can trace their development o...
Abstract: Numerous mathematics concepts or figures in human history had significantly improved in re...
The structure of the decimal expansion of the Golden Ratio is examined in decimal and modular forms ...
This paper explains how to obtain the number phi using a square with side length equal to a, the rig...
This series of articles will explore an amazing connection between three different objects in mathem...
The Golden Ratio, also known as the Golden Section, exists as a proportion of lengths. Calculated to...
The golden ratio, or phi (φ = 1.6180339887...), is a ratio that has interested mathematicians as wel...
The issue of the golden section is unknown for many people and that is the reason why my main aim wa...
Golden Section Gabriela Novotná Abstract The first chapters of this thesis deal not only with the hi...
Regular pentagon is a geometric figure which had a relevant symbolic meaning in Pythagorean and Plat...
The regular pentagon had a symbolic meaning in the Pythagorean and Platonic philosophies and a subse...
The present thesis deals with golden section in geometry, which can be constructed in many different...
In this paper a short history of the Golden Section is described, that began from the geometric stu...
The golden section is one of many mathematical discoveries which originated simply as the solution t...
Abstract: The interesting thing about mathematical concepts is that we can trace their development o...
Abstract: The interesting thing about mathematical concepts is that we can trace their development o...
Abstract: Numerous mathematics concepts or figures in human history had significantly improved in re...
The structure of the decimal expansion of the Golden Ratio is examined in decimal and modular forms ...
This paper explains how to obtain the number phi using a square with side length equal to a, the rig...
This series of articles will explore an amazing connection between three different objects in mathem...