The Golden ratio and its impact on Architectural design (original) (raw)
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How toExplore Golden Ratio in Architecture and Designing City
In architecture, there are many different standards and rules to design buildings, urban and planning and principles and proportion are the clear limitations among the main standards. Golden ratio or golden section is considered as a clear proportion in the architecturaldesign. Severalacademic researches and studies can befound that talk about the golden ratio. This ratio also can be seen in natural division, arts, music and architecture. It is measured as a standard for the aesthetic and beauty of the architectural appearance. Thepresent paperdiscusses the golden ratio in general, its history that shows first use and understandingsand related to which ancient civilization. Furthermore, it explains the position of the golden ratio in architecture principles. Following that, this paper discoversa number of case studies that designed with this ratio existed around the world. Also, itdemonstratesthat,how it can be applicable in architecture field today? Then there isa summaryof the research inthe conclusion.
Use of golden ratio in architecture
Describe how golden ratio is used in making of finest structures. It present three paradigmatic case studies where Golden Mean rectangles allegedly apply in architecture: (i) The Parthenon in Athens; (ii) The United Nations Secretariat Building in New York City; and (iii) The Great Pyramid of Giza.
International journal of engineering research and technology, 2013
Architecture has its unique relationship with mathematics, incorporating the study of such mathematical concepts as ratio, proportion, scales and symmetry. Put up definitions and explanations of the mathematical concepts of elementary geometry, stating their connection to architecture and ratio and proportion relate to architectural plan with mathematical accuracy in measuring. In this paper showing the connections between geometry and architecture with what appears to be an obvious example from various styles, architectural works which are also derived from basic geometric figures.The aim is to re-search the age old geometrical principles applied in Indian architecture. Deriving ancient principles of interrelationship between ‘Geometry & Architecture’ in three major branches of Indian architecture, particularly, Hindu Architecture and Islamic Architecture. Historically, architecture was part of mathematics, and in many periods of the past, the two disciplines were indistinguishable...
Golden Proportion or Golden Ratio is usually denoted by the Greek letter Phi (φ), in lower case, which represents an irrational number, 1.6180339887 approximately. Because of its unique and mystifying properties, many researchers and mathematicians have been studied about the Golden Ratio which is also known as Golden Section. Renaissance architects, artists and designers also studied on this interesting topic, documented and employed the Golden section proportions in eminent works of artifacts, sculptures, paintings and architectures. The Golden Proportion is considered as the most pleasing to human visual sensation and not limited to aesthetic beauty but also be found its existence in natural world through the body proportions of living beings, the growth patterns of many plants, insects and also in the model of enigmatic universe. The properties of Golden Section can be instituted in the pattern of mathematical series and geometrical patterns. This paper seeks to represent a panoptic view of the miraculous Golden Proportion and its relation with the nature, globe, universe, arts, design, mathematics and science. Geometrical substantiation of the equation of Phi, based on the classical geometric relations, is also explicated in this study. Golden Ratio and its chronicle, concept of Golden Mean and its relations with the geometry, various dynamic rectangles and their intimacy with Phi, Golden Ratio in the beauty of nature, Phi ratio in the design, architecture and engineering are also presented in this study in a panoptical manner.
2013
Using the golden ratio in the old civilizations is considered a main direction of any design that has an authentic value and artistic sense. The old civilizations used the golden ratio in many of its architectural and decorative designs and furniture designs by networks that have been a direct application for that ratio. The most important civilizations are the old Egyptian civilization, Greek civilization and Islamic civilization. These three civilizations are considered the most important civilizations that established networks using science in the design, which depended upon that in all of its arts. So, it was important studying the way of using these civilizations for the golden ratio in building its designing networks, trying to conclude the designing relationships resulting from its using in each civilization and extent of success of applying that upon the contemporary designs.
Divine Proportion in Modern Architecture: A Case Study
Jurnal Teknologi, 2016
Mathematics and architecture are interrelated. A building with the appropriate mathematical elements in its design will be impressive in its appearance. One of the most widely used mathematical proportions in architecture is divine proportion, or better known as φ (618. 1 1 n F n F n lim = = ∞ → with Fn the n-th Fibonacci sequence). This type of proportion exists everywhere in nature, including in human body, shapes, artworks, music, paintings and even in the universe. In this study, we investigate the existence of divine proportion in modern architecture. In identifying the divine proportion, geometrical analysis was applied by measuring the dimensions of parts on the floor plan of a building in a higher learning institution in Malaysia. The length, width, height and angles of the floor plan were examined. The results show that the divine proportion, which was obtained from the proportion of length and width, exists in 33% of parts of the first and ground floors of the building examined.
International Journal of Engineering Research and Technology (IJERT), 2013
https://www.ijert.org/architecture-style-developing-through-application-of-mathematics-concepts-of-geometry-proportion-in-architecture https://www.ijert.org/research/architecture-style-developing-through-application-of-mathematics-concepts-of-geometry-proportion-in-architecture-IJERTV2IS90471.pdf Architecture has its unique relationship with mathematics, incorporating the study of such mathematical concepts as ratio, proportion, scales and symmetry. Put up definitions and explanations of the mathematical concepts of elementary geometry, stating their connection to architecture and ratio and proportion relate to architectural plan with mathematical accuracy in measuring. In this paper showing the connections between geometry and architecture with what appears to be an obvious example from various styles, architectural works which are also derived from basic geometric figures.The aim is to research the age old geometrical principles applied in Indian architecture. Deriving ancient principles of interrelationship between 'Geometry & Architecture' in three major branches of Indian architecture, particularly, Hindu Architecture and Islamic Architecture. Historically, architecture was part of mathematics, and in many periods of the past, the two disciplines were indistinguishable. In the ancient world, mathematicians were architects, whose constructions-The tombs, mosques, temples, pyramids and ziggurats. Geometry was the study of shapes and shapes were determined by numbers.Here geometry becomes the guiding principle. Geometric principles such as those used in triangles (the ratio between base and height, how they are related to the area of the triangle) have been used in many ancient architectural constructions.
Bagh-e Nazar, 2022
Problem statement: The use of proportions derived from nature in vernacular architecture is one of the principles that govern the interactionsbetween the built environment and nature. The existence of the formal relationship between the built environment and nature can lead to optimization,order,and stability in the built environment.In fact,structures in nature have become stable over time in terms of form and combination and can create reproducible principles regarding the continuity and beauty of spaces.Nowadays,such principles have been neglected in the proportions and numeric relationships employed in the geometry of spaces.The sample of this study contains twenty-four traditional houses in the Qajar era in Ardabil because most of these buildings have been built in this period. Research objective:The present study aims to determine the compatibility of common geometric proportions used in the traditional houses of Ardabil with Iranian proportions,golden ratios ,and approximate ratios derived from nature to identify the most common nature-friendly layout in the region. Research method :This study isapplied and mixed-methods research in which both quantitative and qualitative methodsare employed. First of all, the data related to the dimensions, sizes, and computational ratios were obtained via field observations. After that, the geometric proportions employed in halls, rooms, and main facades were identified using frequency diagrams. Then their compatibility with the proportions derived from nature was analyzedto determine which spatial ratios and standards derived from nature had the highest frequency in the buildings. Conclusion: The results showed that the architecture of the traditional houses was consistent and compatible with nature in terms of formal characteristics.in addition to using Iranian proportions, golden proportionsin laying out the elements and architectural spaces from plans to façades,the architects of the buildings have also made use of ratios close to simple arithmetic proportions. This shows the relationship between the spatial patterns and the combination of data received from nature,which have been integrated intothe construction of the buildings.
International Journal of Research -GRANTHAALAYAH
The uniqueness of His creation is reflected in different fields of life by the great masters throughout the ages that have born with the formation of the universe, from the big bang, till times still to come. Special ratio that can be used to describe the proportions of everything from nature’s smallest building blocks, such as atoms, to the most advanced patterns in the universe, such as unimaginably large celestial bodies. One of the key evidences presented for creation is the recurring appearance of the Divine proportion, or golden section, throughout the design of the human body and other life forms. An attempt has been made to relate Sri yantra and golden ratio and the various forms that seem to exemplify in the plan and elevation of the Indian temple. The yantra which is a complex geometry has been perfected to be used for the development of temple forms of different eras. The following paper will be a tool for the researchers to use the yantra in deriving the spaces of Indian...
Mathematics Interdisciplinary Research 4 ( 2019 ) xx − yy Golden Ratio : The Mathematics of Beauty
2019
Historically, mathematics and architecture have been associated with one another. Ratios are good example of this interconnection. The origin of ratios can be found in nature, which makes the nature so attractive. As an example, consider the architecture inspired by flowers which seems so harmonic to us. In the same way, the architectural plan of many well-known historical buildings such as mosques and bridges shows a rhythmic balance which according to most experts the reason lies in using the ratios. The golden ratio has been used to analyze the proportions of natural objects as well as buildings harmony. In this paper, after recalling the (mathematical) definition of the golden ratio, its ability to describe the harmony in the nature is discussed. When teaching mathematics in the schools, one may refer to this interconnection to encourage students to feel better with mathematics and deepen their understanding of proportion. At the end, the golden ratio has been statistically exam...