Fractal Geometry and Hindu Temple Architecture

Fractal Geometry and Hindu Temple Architecture

Source: Mandapa: Its Proportion as a tool in Understanding Indian Temple Architecture

Proportion and measurements were the guiding tools for Indian temple construction starting from the 5th century onwards and it continuous even now. Through out the history proportion dominated as a tool, which determined the monuments both spatial arrangements as well as form. The ancient texts, therefore, insist on a high degree of precision in their measurements.

The standard text Mayamata mentions- ”Only if the temple is constructed correctly according to a mathematical system can it be expected to function in harmony with the universe. Only if the measurement of the temple is in every way perfect, there will be perfection in the universe as well.”

Source: A REVIEW STUDY ON ARCHITECTURE OF HINDU TEMPLE

Source: TEMPLE ARCHITECTURE AND SCULPTURE

Source: Symbolism in Hindu Temple Architecture and Fractal Geometry – ‘Thought Behind Form’

Source: TEMPLE ARCHITECTURE AND SCULPTURE

Source: TEMPLE ARCHITECTURE AND SCULPTURE

Key Terms

  • Fractals
  • Cosmology
  • Temple Architecture
  • Fractal Dimension
  • Recursive
  • Algorithmically
  • Hindu Temples
  • Vastu Purush Mandala
  • Vastu Shastra
  • Shilpa Shastra
  • Nagara Style
  • Dravidian Style
  • Vesara Style
  • Kalinga Style
  • 64 Yogini Temple Style
  • Jain Temple Architecture
  • Buddhist Stupa Architecture
  • Cellular Automata
  • 3D Fractals
  • 2D Cellular Automata
  • Nine Cell Square
  • Nav Grah Yantra
  • Sierpinski Carpet
  • Box Counting Method
  • Biophilic Architecture
  • Symbolism
  • Square and Circle
  • Earth and Heaven
  • Squaring the Circle
  • Correspondence
  • Equivalence
  • Symmetry
  • As Above, So below
  • Cosmic Mirrors

Hindu Temples: Models of a Fractal Universe

Source: Hindu temples: Models of a fractal universe

Hindu philosophy views the cosmos to be holonomic and self-similar in nature. According to ancient architectural tradition, Hindu temples are symbols of models of the cosmos and their form represents the cosmos symbolically.

The procedures and methods used in the construction of Hindu temples bear a striking resemblance to the procedures of computer graphics, including discretization, fractalization and extensive use of recursive procedures, including self-similar iteration. The instructions given in ancient Vastu shastras (texts on architecture) work like general programmes to generate various types of temples.

The paper is an attempt to draw attention to the similarities between the procedures and resulting forms in computer graphics and Hindu temple architecture and to explain the relationship that exists between the form of the temple and the concepts of Hindu philosophy. It is proposed that Hindu temples may be viewed as three dimensional fractal models and that the use of fractal geometry procedures has a special symbolic meaning in the generation of the forms of Hindu temples.

Introduction to the Temple Architecture in the Indian Context

Source: Temples of Odisha- the Geometry of Plan Form

The evolution of temple architecture is marked by a strict adherence to the original ancient models, that were derived from sacred thought which persisted over many centuries. The commencement of the main style of Hindu temple architecture in India dates back to the Mauryan period i.e 3rd century BC, as evident from the archaeological excavation at Sanchi (Madhya Pradesh, temple no.40 and18) and Bairat (Rajastan), (DB Garnayak , 2007) . The Indian Silpasastras recognize three main types of temples known as the Nagara, Dravida and Vesara. Nagara temple belongs to the country from the Himalaya to the Vindhya, Vesara from the Vindhya to the Krishna and the Dravida from the Krishna to the Cape Comorin (DB Garnayak , 2007). An inscription in 1235 A.D in the mukhamandapa of the Amritesvara temple at Holal in Bellary district of Karnataka speaks of the fourth style i.e. Kalinga, in addition to the above three. The Kalinga style of Architecture is explained exclusively in the texts like Bhubana Pradip, Silpa Prakasa, Silpa Ratnakosha etc.

Source: Investigating Architectural Patterns of Indian Traditional Hindu Temples through Visual Analysis Framework

Source: Fractal Geometry as a source of innovative formations in interior design

Source: The fractal analysis of architecture: calibrating the box-counting method using scaling coefficient and grid disposition variables

Source: PARAMETRIZING INDIAN KARNATA-DRAVIDA TEMPLE USING GEOMETRY

Vastu purusha mandala

Source: A REVIEW STUDY ON ARCHITECTURE OF HINDU TEMPLE

Layout of a Hindu temple pursues a geometrical design known as vastu-purusha-mandala, the name of which is derived from the three vital components of the design namely Vastu meaning Vaas or a place of dwelling; Purusha, meaning the Universal principle; and Mandala meaning circle. Vastupurushamandala is a mystical diagram referred in Sanskrit as a Yantra. The symmetrical and self-repeating model of a Hindu temple demonstrated in the design is derived from the primary convictions, traditions, myths, fundamentality and mathematical standards. According to Vastupurushamandala, the most sacred and typical template for a Hindu temple is the 8×8 (64) grid Manduka Hindu Temple Floor Plan also referred as Bhekapada and Ajira. The layout displays a vivid saffron centre with intersecting diagonals which according to Hindu philosophy symbolises the Purusha. The axis of the Mandir is created with the aid of the four fundamentally significant directions and thus, a perfect square is created around the axis within the available space. This square which is circumscribed by the Mandala circle and divided into perfect square grids is held sacred. On the other hand, the circle is regarded as human and worldly that can be perceived or noticed in daily life such as the Sun, Moon, rainbow, horizon or water drops. Both the square and the circle support each other. The model is usually seen in large temples while an 81 sub-square grid is observed in ceremonial temple superstructures. Each square within the main square referred as „Pada‟ symbolise a specific element that can be in the form of a deity, an apsara or a spirit. The primary or the innermost square/s of the 64 grid model called Brahma Padas is dedicated to Brahman. The Garbhagruha or centre of the house situated in the Brahma Padas houses the main deity. The outer concentric layer to Brahma Padas is the Devika Padas signifying facets of Devas or Gods which is again surrounded by the next layer, the Manusha Padas, with the ambulatory. The devotees circumambulate clockwise to perform Parikrama in the Manusha Padas with Devika Padas in the inner side and the Paishachika Padas, symbolising facets of Asuras and evils, on the outer side forming the last concentric square. The three outer Padas in larger temples generally adorn inspirational paintings, carvings and images with the wall reliefs and images of different temples depicting legends from different Hindu Epics and Vedic stories. Illustrations of artha, kama, dharma and moksha can be found in the embellished carvings and images adorning the walls, ceiling and pillars of the temples.

Source: A REVIEW STUDY ON ARCHITECTURE OF HINDU TEMPLE

Source: VASTU PURUSHA MANDALA- A HUMAN ECOLOGICAL FRAMEWORK FOR DESIGNING LIVING ENVIRONMENTS

Source: Space and Cosmology in the Hindu Temple

Source: Exploring Ancient Architectural Designs with Cellular Automata

Source: Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

Source: Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

Source: Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

Source: Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

According to Hindu philosophy, the main goal of man’s life is to achieve the ultimate liberation from the illusionary world where he suffers from his endless rebirth. Krishna says in Bhagavad Gita,9 if man worships, devotes and meditates to the manifested form of the wholeness of infinity, and sees the truth of its manifestation; he will surpass the confusion of the never-ending cycles of rebirth in this physical world, and finally will assimilate with the God. 10 Hindu calls it moksha.11 It brings the ultimate peace and harmony in man’s life. But how one, from the physical world, can practice to realize this ultimate truth of the creation? Brihatsamhita12 and Sthapatyaveda13 give the solution as the temple which should act as the microcosm of the cosmos [9]. It should be the bridge for the man of physical world to the God of divine world [10].

To connect the physical world with the divine world and to reflect the truth of creation, the layout of cosmos was copied graphically in the foundation of temple. Here, a mythical incident was interwoven where a formless being covered the sky and was, immediately, arrested down to the earth by the creator Brahma and other gods. This supernatural fact was depicted graphically by vastu purusha mandala, where vastu refers to physical environment, purusha refers to energy, power or cosmic being, and mandala is the diagram or chart. Central portion of the mandala represents the place of Brahma and other portions symbolize the other gods according to their capability. By laying down this metaphysical diagram in the foundation, various supernatural forces are captured beneath the temple whereas its centre is the source of cosmic energies. The basic shape of the vastu purusha mandala is a square which represents the earth [11]. Its four sides depict the four cardinal directions. It also symbolizes the order, the completeness of endless life and the perfectness of life and death [10]. According to Hindu philosophy, our mundane life is controlled by the number four—four castes, four stages of life, four great epochs or mahayugas, four heads of Brahma, the four Vedas etc. [12].

There are various types of vastu purusha mandala, which are nothing but the squares grids, produced from the basic shape; namely, a square which is known as sakala mandala. Each smaller square within the grid is called one pada. The number of pada may vary from 1, 4, 9, 16, 25 and so on 1024, where it follows the geometric progression of 1, 2, 3, 4, 5,…..,32 of common ratio 2. The mandala having even numbers of pada in its grid known as yugma squares mandala whereas the mandala, having odd numbers of pada known as ayugma squares mandala. Vastu purusha mandala is also known as different distinctive names according to the numbers of pada within the grid. The mandala having 1,4,9,16,25 and 36 numbers of pada within the grid are known as sakala mandala, pechaka mandala, pitah mandala, mahapitah mandala, manduka chandita mandala and para- masayika mandala, respectively14.

Source: Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

Source: Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

Source: Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

Source: Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

FRACTAL DESIGN, ARCHITECTURE AND ART IN HUMAN HISTORY

Source: Working with Fractals

Fractals have permeated cultures spanning across many centuries and continents, classical art and vernacular architecture from the column capitals of ancient Greece, Egyptian, Aztec, Incan civilisations, the art of Ancient Mayans, Islamic and Hindu temples, Angkor Wat in Cambodia, the Eifel Tower in Paris, and the structures of Santiago Calatrava. Fractals are also evident in such well known works as those of Botticelli, Vincent van Gogh, and Jackson Pollock. Their visual properties were also explored by mathematicians when Benoit Mandelbrot published The Fractal Geometry of Nature (1982) in which he catalogued nature’s statistical fractals and discussed them using mathematical methods for their replication.

Fractals constitute a central component of human daily experience of the environment (Taylor & Spehar, 2016). While extensive research has documented the negative effects of environments that do not have
a complement of rich experiential aesthetic variety (Mehaffy & Salingaros, 2013), their proliferation in art and design has continued to grow and diversify, creating architecture, interiors and products designed for human needs (Taylor & Spehar, 2016). Over the past two decades, interdisciplinary teams have confirmed that the aesthetic qualities of nature’s fractal patterns can induce striking effects on health.1

PARAMETERS OF FRACTAL PREFERENCE

Source: Working with Fractals: For the Love of Fractals

The universal preference for ‘statistical’ fractals peaks at low to moderate degree of complexity, while universal preference for ‘exact’ fractals peaks at a higher complexity. The high level of symmetry in exact fractals enables greater tolerance for visual complexity compared to statistical fractals (Abboushi et al., 2019). Four factors influence complexity in exact fractals:

1. Fractal dimension (D)

2. Symmetry

3. Recursion

4. Number of elements introduced at each recursion

Fractal dimension. 

The Euclidean simplicity and symmetry of exact fractals increases tolerance and peak preference for medium-high complexity exact fractals (D= 1.5–1.7) (Abboushi et al., 2019). Medium- high exact fractals can enhance visual preference and mood, particularly in less complex Euclidean interior spaces (Abboushi et al., 2019; Taylor et al., 2018).

When complex fractal patterns are experienced within a low-complexity interior space, the visual preference can shift to those available higher D values (1.5 to 1.7, medium-high range), suggesting that a low complexity environment enables a tolerance and preference for higher complexity statistical fractals such as found in artworks or casted light patterns unique within that space (Abboushi et al., 2019). A good example of this scenario is museums with an abundance of geometrical rooms and white walls adorned with highly complex artworks that captivate.

Symmetry. 

Patterns with symmetry and geometry, such as common among exact fractals, can be visually appealing as they balance interest and comprehensibility. Mirror symmetry is generally considered one of the most predictive factors when judging whether a geometric pattern is ‘beautiful’. A lack of radial and mirror symmetry can be overcome by including more recursion and higher fractal dimensionality.

The orderliness of exact fractals allows a pattern to approach the maximum use of space at a particular dimension while retaining its elegance. Patterned tiles and carpet, wall coverings and textiles, artefacts and ornaments found in many cultures (Eglash, 2002) are evidence of this spatial orderliness and symmetry.

Recursion. 

Fractals generated by a finite subdivision rule bear a striking resemblance to both nature and human ornament. In mathematics, the finite subdivision rule is a recursive way of dividing a polygon or other two-dimensional shape into smaller and smaller pieces. In a sense, subdivision rules are generalisations of regular exact fractals. Instead of repeating exactly the same design over and over, they have slight variations in each stage, allowing a richer structure while maintaining the elegant style of fractals (Cannon, et al., 2001).

Source: The application of complexity theory and Fractals in architecture, urban planning and design

Source: The application of complexity theory and Fractals in architecture, urban planning and design

My Related Posts

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Maha Vakyas: Great Aphorisms in Vedanta

Growth and Form in Nature: Power Laws and Fractals

Geometry of Consciousness

Consciousness of Cosmos: A Fractal, Recursive, Holographic Universe

Mind, Consciousness and Quantum Entanglement

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Key Sources of Research:

Role of Fractal Geometry in Indian Hindu Temple Architecture

Dhrubajyoti Sardar
M.Arch Scholar
Architecture & Planning Department, IIT Roorkee

Roorkee, Uttarakhand, India

S. Y. Kulkarni
Professor & Former Head Architecture & Planning Department, IIT Roorkee Roorkee, Uttarakhand, India

International Journal of Engineering Research & Technology (IJERT) 

ISSN: 2278-0181 Vol. 4 Issue 05, May-2015

Physical Fractals: Self Similarity and Square-Integratibility

Akhlesh Lakhtakia

Penn State

Speculations in Science and Technology 18, 153-156, 1995

The Hindu Temple as a Model of Fractal Cosmology – Forecasting Architecture with Recursive Instruction

Data is Nature

Monday, 6 April 2015

http://www.dataisnature.com/?p=2138

Dancing Architecture: The parallel evolution of Bharatanātyam and South Indian Architecture

Kavitha Jayakrishnan

University of Waterloo
Master of Architecture Thesis 2011

https://uwspace.uwaterloo.ca/bitstream/handle/10012/6356/Jayakrishnan_Kavitha.pdf?sequence=1

Building Science of Indian Temple Architecture

Shweta Vardia

shwetavardia@gmail.com

2008 MS Thesis

Universidade do Minho, Portugal

The Fractal Structure of Hindu Temples

Fractal Enlightenment

Fractal Geometry And Self-Similarity In Architecture: An Overview Across The Centuries

Nicoletta Sala
Academy o f Architecture o f Mendrisio, University o f Italian Switzerland Largo Bernasconi CH- 6850 Mendrisio
Switzerland
E-mail: nsala @ arch.unisLch

Shapes, Patterns and Meanings in Indian Temple Architecture

Tanisha Dutta*, V. S. Adane

Department of Architecture and Planning, Visvesvaraya National Institute of Technology Nagpur, India *Corresponding author: ar.tanisha.dd@gmail.com

Received July 17, 2018; Revised August 20, 2018; Accepted November 05, 2018

American Journal of Civil Engineering and Architecture, 2018, Vol. 6, No. 5, 206-215

Available online at http://pubs.sciepub.com/ajcea/6/5/6 ©Science and Education Publishing DOI:10.12691/ajcea-6-5-6

Click to access ajcea-6-5-6.pdf

Hindu Temple: Models of a Fractal Universe. 

Trivedi, K. (1993).

International Seminar on Mayonic Science and Technology,

243-258.

The Visual Computer 5, 243–258 (1989). https://doi.org/10.1007/BF02153753

https://link.springer.com/article/10.1007/BF02153753#citeas

Click to access Hindu_Temple_Models.pdf

Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho

IasefMd Riana Jin-HoParka HyungUk Ahna DongkukChangb

aDepartment of Architecture, Inha University, South Korea

bDepartment of Architecture, Chosun University, South Korea

Received 4 May 2006, Revised 21 July 2006, Accepted 15 January 2007, Available online 23 April 2007.

Building and Environment
Volume 42, Issue 12, December 2007, Pages 4093-4107

Click to access 2007_02.pdf

https://www.sciencedirect.com/science/article/abs/pii/S0360132307000273

https://www.semanticscholar.org/paper/Fractal-geometry-as-the-synthesis-of-Hindu-in-Rian-Park/719b6da37091121786525e4b99a667fb098abf49

Symbolism in Hindu Temple
Architecture through Fractal Geoemtry- ‘Thought Behind Form’.

Dutta, T., & V.S.Adane. (2014).

International Journal of Science and Research (IJSR), 489-497.

https://www.semanticscholar.org/paper/Symbolism-in-Hindu-Temple-Architecture-and-Fractal-Dutta-Adane/891db316ae9b06387a0e23ec4e2df649f43d2cd0

Fractal geometry and architecture: some interesting connections

N. Sala

Accademia di Architettura, Università della Svizzera italiana, Mendrisio, Switzerland

Eco-Architecture: Harmonisation between Architecture and Nature 163

Temples of Odisha- the Geometry of Plan Form

Rinku Parashar

Assistant Professor Department of Architecture Engineering NIT, Raipur, 492010, India

Dr Abir Bandyopadhyay

Professor & Head Department of Architecture Engineering NIT, Raipur, 492010, India

IJIRST –International Journal for Innovative Research in Science & Technology| Volume 2 | Issue 10 | March 2016 ISSN (online): 2349-6010

Click to access IJIRSTV2I10036.pdf

Shape and geometrical study of fractal cosmology through Orissan Temple architecture

Partha Sarathi Mishra

january 2013

“Investigating Architectural Patterns of Indian Traditional Hindu Temples through Visual Analysis Framework,”

Aditya Kumar Singh, Vinay Mohan Das, Yogesh Kumar Garg, Mohammad Arif Kamal ,

Civil Engineering and Architecture, Vol. 10, No. 2, pp. 513-530, 2022.

DOI: 10.13189/cea.2022.100211.

https://www.semanticscholar.org/paper/Investigating-Architectural-Patterns-of-Indian-Singh-Das/76b27cc56ba003d899dbc8c0595f304f02e4bb28

“Infinite Sequences in the Constructive Geometry Of Tenth-Century Hindu Temple Superstructures”,

Datta, S.,

School of Architecture and Building Deakin University 1, Gheringhap Street Geelong VIC 3219 AUSTRALIA 

sdatta@deakin.edu.au

Nexus Network Journal – Vol.12, No. 3, 2010 471 – 483

DOI 10.1007/s00004-010-0038-0; published online 15 September 2010
Kim Williams Books, Turin

https://www.semanticscholar.org/paper/Infinite-Sequences-in-the-Constructive-Geometry-Of-Datta/18ed5ec4e6e33a8ebdf5b5c1e6fdc8706b34fdcc

https://link.springer.com/article/10.1007/s00004-010-0038-0

Evolution and Interconnection: Geometry in Early Temple Architecture

DOI:10.1007/978-3-030-57907-4_11

Corpus ID: 238053244

https://www.semanticscholar.org/paper/Evolution-and-Interconnection%3A-Geometry-in-Early-Datta/c767a450532cf281e0bdd0cfac493343c2a2de07

Fractal Geometry as a source of innovative formations in interior design 

Omniah Bahaa Ibrahim

Teaching Assistant, at Faculty of Applied Arts, Interior Design & Furniture Department, Helwan University, Giza, Egypt

DOI: 10.21608/jdsaa.2021.42275.1075

Fractal Geometry and Architecture Design: Case Study Review

Xiaoshu Lu1,2, Derek Clements-Croome3, Martti Viljanen1

1Department of Civil and Structural Engineering, School of Engineering, Aalto University, PO Box 12100, FIN-02150, Espoo, Finland
E-mail: xiaoshu@cc.hut.fi
2Finnish Institute of Occupational Health, Finland
3School of Construction Management and Engineering, Whiteknights, University of Reading, PO Box 219, Reading RG6 6AW, UK

Click to access 2_CMSIM_2012_Lu_clements_Croome_viljanen_2_311-322.pdf

A review of the fractal geometry in structural elements

Aman Upadhayay, Dr. Savita Maru
Department of Civil Engineering, Ujjain Engineering College, India

International Journal of Advanced Engineering Research and Science (IJAERS)
Peer-Reviewed Journal
ISSN: 2349-6495(P) | 2456-1908(O)

Vol-8, Issue-7; Jul, 2021
Journal Home Page Available: https://ijaers.com/ 

Article DOI: https://dx.doi.org/10.22161/ijaers.87.3

The fractal analysis of architecture: calibrating the box-counting method using scaling coefficient and grid disposition variables

Michael J Ostwald

School of Architecture and Built Environment, University of Newcastle, University Drive, Callaghan, NSW 2308, Australia;

email: Michael.Ostwald@newcastle.edu.au
Received 15 July 2011; in revised form 21 March 2012

Environment and Planning B: Planning and Design 2013, volume 40, pages 644 – 663 

doi:10.1068/b38124

Mandapa: Its Proportion as a tool in Understanding Indian Temple Architecture

Ragima N Ramachandran

International Journal of Scientific & Engineering Research Volume 10, Issue 7, July-2019 2104 ISSN 2229-5518

African Fractals

MODERN COMPUTING AND INDIGENOUS DESIGN

RON EGLASH

Book

PARAMETRIZING INDIAN KARNATA-DRAVIDA TEMPLE USING GEOMETRY

SRUSHTI GOUD

BMS School of Architecture, Yelahanka, Bangalore, India

goudsrushti@gmail.com

Click to access ascaad2016_042.pdf

A REVIEW STUDY ON ARCHITECTURE OF HINDU TEMPLE

PRATHAMESH GURME1,PROF. UDAY PATIL2

1UG SCHOLAR,2HEAD OF DEPARTMENT, DEPARTMENT OF CIVIL ENGINEERING BHARATI VIDHYAPEETH’S COLLEGE OF ENGINEERING , LAVALE , PUNE , INDIA

INTERNATIONAL JOURNAL FOR RESEARCH & DEVELOPMENT IN TECHNOLOGY

Exploring Ancient Architectural Designs with Cellular Automata

Hokky Situngkir
[hokky.situngkir@surya.ac.id]
Dept. Computational Sociology, Bandung Fe Institute Center for Complexity Studies in Surya University

BFI Working Paper Series WP-9-2010

WORKING WITH FRACTALS

A RESOURCE FOR PRACTITIONERS OF BIOPHILIC DESIGN

A PROJECT OF THE EUROPEAN ‘COST RESTORE ACTION’ 

PREPARED BY RITA TROMBIN

The application of complexity theory and Fractals

in architecture, urban planning and design

Click to access finalCh4.pdf

Chapters

http://www.toofanhaghani.com

The influence of traditional Indian architecture in Balkrishna Doshi’s IIM Complex at Bangalore: A comparative analysis using fractal dimensions and lacunarity

,Mario Lodeweik LIONAR,  (Ph.D. Program of Architecture, Institute of Natural Sciences, Bursa Uludağ University, Bursa, Turkey) 

Özgür Mehmet EDİZ (Department of Architecture, Faculty of Architecture, Bursa Uludağ University, Bursa, Turkey) 

A|Z ITU Mimarlık Fakültesi Dergisi 

DOI: 10.5505/itujfa.2021.80388

https://search.trdizin.gov.tr/yayin/detay/503974/

The Dual Language of Geometry in Gothic Architecture: The Symbolic Message of Euclidian Geometry versus the Visual Dialogue of Fractal Geometry

Nelly Shafik Ramzy 

Sinai University

Peregrinations: Journal of Medieval Art and Architecture

Volume 5 Issue 2 2015

PRINCIPLES OF FRACTAL GEOMETRY AND APPLICATIONS IN ARCHITECTURE AND CIVIL ENGINEERING

Anton Vrdoljak, M.Sc.
Faculty of Civil Engineering, University of Mostar, anton.vrdoljak@gf.sum.ba Kristina Miletić, B.Sc.(Math.)
Faculty of Civil Engineering, University of Mostar, kristina.miletic@gf.sum.ba

Number 17, June 2019.

https://hrcak.srce.hr/file/324620

SHAPE AND GEOMETRY OF ORISSAN TEMPLE ARCHITECTURE

Authors: Mishra, Partha Sarathi

MS Thesis, IITR 2012

http://localhost:8081/xmlui/handle/123456789/2017

http://shodhbhagirathi.iitr.ac.in:8081/jspui/handle/123456789/2017

The Shape of Cities: Geometry, Morphology, Complexity and Form

Chapter in book Fractal Cities

WHOLENESS, VISUAL COMPLEXITY AND MATERIALITY:

A Comparative Analysis Using Fractal Dimension Analysis And Mirror Of The Self-Test In The Case Of Material Imitations.

author | FILIP KINNERT supervisor | doc. PhDr. MARTIN HORÁČEK Ph.D.


Vastu Purusha Mandala – A human ecological framework for designing living environments.

Venugopal, Jayadevi

In Jetty, C, Chandra, B, Bhashyam, A, & Prabhakara, R (Eds.) Proceedings of International Conference on Advances in Architecture and Civil Engineering (AARCV 2012), Volume 2.
Bonfring, India, pp. 870-877.

Rediscovering the Hindu Temple:
The Sacred Architecture and Urbanism of India

Vinayak Bharne and Krupali Krusche

Book, ISBN (10): 1-4438-4137-4, ISBN (13): 978-1-4438-4137-5

Borobudur was Built Algorithmically

Hokky Situngkir

[hs@compsoc.bandungfe.net]

Dept. Computational Sociology Bandung Fe Institute

TEMPLE ARCHITECTURE AND SCULPTURE

NCERT

Fractal Cities: A Geometry of Form and Function,

Batty, M., Longly, P., 1994, 

Academic Press, San Diego.

Book

Space and Cosmology in the Hindu Temple

Subhash Kak

Presented at Vaastu Kaushal: International Symposium on Science and Technology in Ancient Indian Monuments, New Delhi, November 16-17, 2002.

Gender and space in temple architecture

D. Midhila

midhilachandra@gmail.com

Hindustan Institute of Technology and Sciences, Vijayawada, Andhra Pradesh

Dr. R. V. Nagarajan

rvnagarajan@hindustanuniv.ac.in

Hindustan Institute of Technology and Sciences, Padur, Chennai, Tamilnadu

International Journal of Advance Research, Ideas and Innovations in Technology

2020

The Role of Five Elements of Nature In Temple Architecture 

Ar. Snigdha Chaudhary

International Journal of Scientific & Engineering Research Volume 8, Issue 7, July-2017 1149 ISSN 2229-5518

Trends in Fractal Dimension in Laxman and Kandariya Mahadev Temples, Khajuraho

Tanisha Dutta1,* and Vinayak S. Adane2

1Phd Research Scholar, Department of Architecture and Planning, Visvesvaraya National Institute of Technology, Nagpur- 440010, India.

2Professor, Department of Architecture and Planning, Visvesvaraya National Institute of Technology, Nagpur- 440010, India. (*Corresponding author)

nternational Journal of Applied Engineering Research ISSN 0973-4562 Volume 13, Number 3 (2018) pp. 1728-1741

© Research India Publications. http://www.ripublication.com

Hindu Temple Fractals

William J Jackson

https://www.academia.edu/347639/Hindu_Temple_Fractals

Indian Architectural Theory: Contemporary Uses of Vastu Vidya

Vibhuti Chakrabarti

Oxford University Press (1999)

ISBN 0195650417

Maṇḍala in Architecture: Symbolism and Significance for Contemporary Design Education in India

Navin Piplani Ansal University India

Tejwant Singh Brar Ansal University India

IAFOR Journal of Education: Studies in Education

Volume 8 – Issue 4 – 2020

The Intriguing Temples of the 64 Yoginis

2022