IJERT-Architecture Style Developing through Application of Mathematics: Concepts of Geometry &Proportion in Architecture (original) (raw)

Architecture Style Developing through Application of Mathematics: Concepts of Geometry &Proportion in Architecture

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...

Proportions in Architecture

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...

The use of Geometry in Islamic Architecure-SOHIAB AHMED JAVED (PU)

This paper is basically about how Geometry is used in Islamic Architecture specifically in the region of Sub-Continent. So I would like to take a start from one can say that perfection encompasses both the beauty (Kamal) and majesty (Jalal) represented in Jamal (Perfection). Here, I will mention about the relationship of Scared Geometry and Islamic Architecture with the help of examples that how they merge to show the mightiness of Allah Almighty. Further I will relate the concept of oneness of Allah Almighty with the help of the Masters Work in Sub-Continent. The purpose of this paper is to identify theoretical spirations and practical tools in the making of and representation of Islamic architectural space. it also analyzes geometric principles and design features of traditional Islamic patterns, involving geometric proportion analysis. It also describes the syntheses of Islamic patterns from the perspectives of Islamic cosmology, philosophy, metaphysics, and mathematics.

Mathematics and the Architecture: The Problem and Theory in Pre-Modern Cultures

2006

There is always a mystery on pre-modern architecture practice on the relation between dimensions and ratios. The reasons of using certain proportions used on the design of religious buildings/ spaces are the result of the application of numerical symbolism and Pythagorean triangle. Thus, the paper will be focused on the unity of theory in premodern architecture practice via giving some special examples of pre-modern architecture through the human history, such as Antique Egyptian and Antique Greek temples, Roman churches, Gothic cathedrals, and so on.

Mathematics and Architecture: Importance of Geometry

Intentionally or unintentionally, from ages, architects, builders and construction experts have used mathematics as a very basic yet important tool for the soulful purpose of design, execution and finalization of building projects. In the history, architects were mathematicians and also some mathematicians were architect too. Vitruvius was a very well-known architect as well as famous mathematician. Mathematical readings of Pythagoras were later used in building proportions. Well known worker and user of golden ratio Leonardo Da Vinci along with many achievements was an architect too. The approach of this research paper is to come up with findings on importance of mathematics in architecture, as in geometry, from very important site analysis to final design of elevation or façade. Aim of the whole research is to come up with mathematical functions related to mensuration of building construction and Architectural Engineering. This paper is an initial part of the same research.

Mathematics In Sacred Architecture

The term "Composition" deals with the arrangement and alignment of ideas to emphasize and balance an entity. Architectural Composition has further to deal with elaborate design. Understanding the Composition in architecture begins with space development and their relations. Composition of spaces and functions is called design. Looking into the compositions, geometry plays the major role in it. The essential study of forms, shapes and spaces, and their order along with their algebra contributes to the process of composition and designing of any element of architecture. Geometry is one of the main features in configuration of architecture. Mathematics, is one of the oldest subjects which followsgeometry in different manner and its application. Mathematical Connotations and Arithmetic Progression gives the different form generation when it relates to the Architecture. Architectural composition with its geometrical configuration gives the proportionate system of the Structure. The design element-geometry, deals with the art and architecture of expressing ideas and conceptual methods.

The place of theoretical wisdom in the application of architectural geometry by Islamic mathematicians. The period under study of the fourth to eleventh centuries AH

Hekmat-e Moaser, 2021

Introduction In Islamic architecture, the architect must be face all the issues in architectural design. Create quantitative & qualitative issues by observing the principles & rules of the process. The architect must create the architectural structure with geometry through art & based on theoretical reason. Architecture has numerical & theoretical dimensions, because it is for the human being as a thinking being, it has qualitative dimensions. The architect must pay attention to the quantitative & qualitative dimensions in creating the architectural building. Traditional Iranian architecture has quality dimensions that include the wisdom of philosophers & Islamic thinkers of Iran. These topics are combined with the basics of other topics to work. Islamic architecture is called Islamic because it combines with the principles of Islamic wisdom & philosophy in uses it. In order to underst& Islamic architecture, wisdom must be examined in the process of creating an architectural buildin...

The Role of Mathematics and Geometry in Formation of Persian Architecture

Geometry is one of the main features in formation of Persian architecture. Research in Persian architecture geometry is impossible without familiar with geometry. This research tries to demonstrate the relationship between the progress of Persian architecture, geometry and mathematics evolution. In this regard, seeks to address the following questions: What is the relationship between the progress of Persian architecture and geometry evolution? To this end first, a detailed survey is conducted on the Persian Architecture and Mathematicians in the pre-Islamic and Islamic History. The Persian empires and dynasties are analyzed and chronologically organized to determine the evolution of mathematics and geometry impacts on the formation and development of Persian architecture. The research hypothesis is that evolution of mathematics and geometry, have a direct impact on the formation and development of Iranian architecture. This study depicts by development of mathematical geometric, Persian architecture has progressed and With the Fading communication between mathematicians and architects, manufacturing techniques of buildings has deteriorated.

Geometry in nature and Persian architecture

Building and environment, 2005

Nature displays profound preference for certain specific ratios to design her life-forms. These are geometric relationships that are transcendent and originated from Sacred Geometry. The view that geometry had a ritual origin is a part of a wider view that civilisation itself had a ritual origin, and therefore the history of utilisation of Sacred Geometry by man goes back to many centuries ago. The Pythagorean tradition, and the Egyptian and Babylonian sciences from which it derived, and Persian mathematics, a part of which reflects a Pythagorean intellectuality, are based on the sacred conception of numbers and their symbolism. In the traditional world, geometry was inseparable from the other sciences of the Pythagorean Quadrivium, namely arithmetic (numbers), music and astronomy. Traditional geometry is related to the symbolic configurations of space. Geometric forms such as the triangle, square and various regular polygons, the spiral and the circle are seen in the traditional perspective to be, like traditional numbers, as aspects of the multiplicity of the Unity. Architecture itself has always had a sacred meaning to all traditional civilisations through millennia, by which means man has tried to provide for himself a manifestation of heavens. Persian architecture always emphasised on Beauty, and by means of Sacred Geometry Persians measured the proportions of heaven and reflected them in the dimensions of buildings on the earth. A comprehensive utilisation of proportions in Persian architecture, such as in the design of plans, elevations, geometric and architectural patterns, and mechanical and structural features, can be proved through geometrical analysis of Persian historical buildings. In this paper, the sacred conception of geometry and its symbolism in the Pythagorean tradition, and Sacred Geometry and proportions in natural life-forms will be explained. The use of the science of geometry in design of a number of Persian historical buildings will be presented. The geometric factors upon which the design of these buildings, from both architectural and structural viewpoints, is made will be discussed.

GEOMETRY, ARCHITECTURE AND THE BRIDGE BETWEEN EARLY AND POST GUPTA STRUCTURAL ENGINEERING. PUBLISHED IN THE JOURNAL OF THE ASIATIC SOCIETY, 2005

Indian textual evidences support the hypothesis of an extant geometrical knowledge at least since the Later Vedic days, what with the references to bricks, brick making, structural activities in the Brahmana texts transcending into focussed technical discourse in the sulba texts, like the Baudhayana, Katyayana and Apastamba Sulba Sutras The voice of the sulbas project another problematic, which shall be briefly discussed in the main paper. Suffice it to say here that the marked religious orientation of the building activity stressed in the sulbas delineates the scope of geometrical and architectural knowledge within the religious sphere. This probably leads to a lopsided view of the real world of building technology of the context we are discussing. Yet, the sulba texts are full of details of techniques involved in the construction of yajna citi, which, when clearly analysed, are seen to be based on extremely precise, perfect geometrical formulations.