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Part of a series on Hindu scriptures and texts Om symbol.svg Shruti Smriti Vedas[show] Upanishads[show] Other scriptures[show] Related Hindu texts Vedangas[show] Puranas[show] Itihasa[show] Shastras and sutras[show] Timeline[show] vte Angkor Wat, a Hindu-Buddhist temple and World Heritage Site, is the largest religious monument in the world. This Cambodian temple deploys the same circles and squares grid architecture as described in ancient Indian Vāstu Śastras.[1] Vastu shastra (vāstu śāstra) is a traditional Indian system of architecture originating in India[2] which literally translates to "science of architecture."[3] These are texts found on the Indian subcontinent that describe principles of design, layout, measurements, ground preparation, space arrangement, and spatial geometry.[4][5] Vastu Shastras incorporate traditional Hindu and in some cases Buddhist beliefs.[6] The designs are intended to integrate architecture with nature, the relative functions of various parts of the structure, and ancient beliefs utilising geometric patterns (yantra), symmetry, and directional alignments.[7][8] Vastu Shastra are the textual part of Vastu Vidya, the latter being the broader knowledge about architecture and design theories from ancient India.[9] Vastu Vidya knowledge is a collection of ideas and concepts, with or without the support of layout diagrams, that are not rigid. Rather, these ideas and concepts are models for the organisation of space and form within a building or collection of buildings, based on their functions in relation to each other, their usage and to the overall fabric of the Vastu.[9] Ancient Vastu Shastra principles include those for the design of Mandir (Hindu temples),[10] and the principles for the design and layout of houses, towns, cities, gardens, roads, water works, shops and other public areas.[5][11][12] Contents 1Terminology 2History 3Description 4Mandala types and properties 5Modern adaptations and usage 5.1Vastu and superstition 6Sanskrit treatises on architecture 7See also 8References 9Further reading Terminology[edit] The Sanskrit word vāstu means a dwelling or house with a corresponding plot of land.[13] The vrddhi, vāstu, takes the meaning of "the site or foundation of a house, site, ground, building or dwelling-place, habitation, homestead, house". The underlying root is vas "to dwell, live, stay, reside".[14] The term shastra may loosely be translated as "doctrine, teaching". Vāstu-Śastras (literally, science of dwelling) are ancient Sanskrit manuals of architecture. These contain Vastu-Vidya (literally, knowledge of dwelling).[15] History[edit] Proposals tracing potential links of the principles of composition in Vastu Shastra and the Indus Valley Civilization have been made, but Kapila Vatsyayan is reluctant to speculate on such links given the Indus Valley script remains undeciphered.[16] According to Chakrabarti, Vastu Vidya is as old the Vedic period and linked to the ritual architecture.[17] According to Michael W. Meister, the Atharvaveda contains verses with mystic cosmogony which provide a paradigm for cosmic planning, but they did not represent architecture nor a developed practice.[18] Varahamihira's Brihat Samhita dated to the sixth century CE, states Meister, is the first known Indian text that describes "something like a vastupurusamandala to plan cities and buildings".[18] The emergence of Vastu vidya as a specialised field of science is speculated to have occurred significantly before the 1st-century CE.[17] Description[edit] Ancient India produced many Sanskrit manuals of architecture, called Vastu Sastra. Many of these are about Hindu temple layout (above), design and construction, along with chapters on design principles for houses, villages, towns. The architect and artists (Silpins) were given wide latitude to experiment and express their creativity.[19] There exist many Vāstu-Śastras on the art of building houses, temples, towns and cities. One such Vāstu Śastra is by Thakkura Pheru, describing where and how temples should be built.[7][20] By 6th century AD, Sanskrit manuals for constructing palatial temples were in circulation in India.[21] Vāstu-Śastra manuals included chapters on home construction, town planning,[15] and how efficient villages, towns and kingdoms integrated temples, water bodies and gardens within them to achieve harmony with nature.[11][12] While it is unclear, states Barnett,[22] as to whether these temple and town planning texts were theoretical studies and if or when they were properly implemented in practice, the manuals suggest that town planning and Hindu temples were conceived as ideals of art and integral part of Hindu social and spiritual life.[15] The Silpa Prakasa of Odisha, authored by Ramachandra Bhattaraka Kaulachara sometime in ninth or tenth century CE, is another Vāstu Śastra.[23] Silpa Prakasa describes the geometric principles in every aspect of the temple and symbolism such as 16 emotions of human beings carved as 16 types of female figures. These styles were perfected in Hindu temples prevalent in eastern states of India. Other ancient texts found expand these architectural principles, suggesting that different parts of India developed, invented and added their own interpretations. For example, in Saurastra tradition of temple building found in western states of India, the feminine form, expressions and emotions are depicted in 32 types of Nataka-stri compared to 16 types described in Silpa Prakasa.[23] Silpa Prakasa provides brief introduction to 12 types of Hindu temples. Other texts, such as Pancaratra Prasada Prasadhana compiled by Daniel Smith[24] and Silpa Ratnakara compiled by Narmada Sankara[25] provide a more extensive list of Hindu temple types. Ancient Sanskrit manuals for temple construction discovered in Rajasthan, in northwestern region of India, include Sutradhara Mandana's Prasadamandana (literally, manual for planning and building a temple) with chapters on town building.[26] Manasara shilpa and Mayamata, texts of South Indian origin, estimated to be in circulation by 5th to 7th century AD, is a guidebook on South Indian Vastu design and construction.[7][27] Isanasivagurudeva paddhati is another Sanskrit text from the 9th century describing the art of building in India in south and central India.[7][28] In north India, Brihat-samhita by Varāhamihira is the widely cited ancient Sanskrit manual from 6th century describing the design and construction of Nagara style of Hindu temples.[19][29][30] These ancient Vāstu Śastras, often discuss and describe the principles of Hindu temple design, but do not limit themselves to the design of a Hindu temple.[31] They describe the temple as a holistic part of its community, and lay out various principles and a diversity of alternate designs for home, village and city layout along with the temple, gardens, water bodies and nature.[12][32] Mandala types and properties[edit] The 8x8 (64) grid Manduka Vastu Purusha Mandala layout for Hindu Temples. It is one of 32 Vastu Purusha Mandala grid patterns described in Vastu sastras. In this grid structure of symmetry, each concentric layer has significance.[7] The central area in all mandala is the Brahmasthana. Mandala "circle-circumference" or "completion", is a concentric diagram having spiritual and ritual significance in both Hinduism and Buddhism. The space occupied by it varies in different mandala – in Pitha (9) and Upapitha (25) it occupies one square module, in Mahaapitha (16), Ugrapitha (36) and Manduka (64), four square modules and in Sthandila (49) and Paramasaayika (81), nine square modules.[33] The Pitha is an amplified Prithvimandala in which, according to some texts, the central space is occupied by earth. The Sthandila mandala is used in a concentric manner.[33] The most important mandala is the Manduka/Chandita Mandala of 64 squares and the Paramasaayika Mandala of 81 squares. The normal position of the Vastu Purusha (head in the northeast, legs in the southwest) is as depicted in the Paramasaayika Mandala. However, in the Manduka Mandala the Vastu Purusha is depicted with the head facing east and the feet facing west.[citation needed] vastu directional chakara It is believed that every piece of a land or a building has a soul of its own and that soul is known as Vastu Purusha.[34] A site of any shape can be divided using the Pada Vinyasa. Sites are known by the number of squares. They range from 1x1 to 32x32 (1024) square sites. Examples of mandalas with the corresponding names of sites include:[7] Sakala (1 square) corresponds to Eka-pada (single divided site) Pechaka (4 squares) corresponds to Dwi-pada (two divided site) Pitha (9 squares) corresponds to Tri-pada (three divided site) Mahaapitha (16 squares) corresponds to Chatush-pada (four divided site) Upapitha (25 squares) corresponds to Pancha-pada (five divided site) Ugrapitha (36 squares) corresponds to Shashtha-pada (six divided site) Sthandila (49 squares) corresponds to Sapta-pada (seven divided site) Manduka/ Chandita (64 square) corresponds to Ashta-pada (eight divided site) Paramasaayika (81 squares) corresponds to Nava-pada (nine divided site) Aasana (100 squares) corresponds to Dasa-pada (ten divided site) Bhadrmahasan (196 squares) corresponds to Chodah-pada (14 divided sites) Modern adaptations and usage[edit] Vastu Shastra-inspired plan adapted and evolved by modern architect Charles Correa in the design of Jawahar Kala Kendra, Jaipur, Rajasthan.[8][35] Vāstu Śastra represents a body of ancient concepts and knowledge to many modern architects, a guideline but not a rigid code.[8][36] The square-grid mandala is viewed as a model of organisation, not as a ground plan. The ancient Vāstu Śastra texts describe functional relations and adaptable alternate layouts for various rooms or buildings and utilities, but do not mandate a set compulsory architecture. Sachdev and Tillotson state that the mandala is a guideline, and employing the mandala concept of Vāstu Śastra does not mean every room or building has to be square.[8] The basic theme is around core elements of central space, peripheral zones, direction with respect to sunlight, and relative functions of the spaces.[8][36] The pink city Jaipur in Rajasthan was master planned by Rajput king Jai Singh and built by 1727 CE, in part around Vastu Shilpa Sastra principles.[8][37][37] Similarly, modern era projects such as the architect Charles Correa's designed Gandhi Smarak Sangrahalaya in Ahmedabad, Vidhan Bhavan in Bhopal,[38] and Jawahar Kala Kendra in Jaipur, adapt and apply concepts from the Vastu Shastra Vidya.[8][36] In the design of Chandigarh city, Le Corbusier incorporated modern architecture theories with those of Vastu Shastra.[39][40][41] During the colonial rule period of India, town planning officials of the British Raj did not consider Vastu Vidya, but largely grafted Islamic Mughal era motifs and designs such as domes and arches onto Victorian-era style buildings without overall relationship layout.[42][43] This movement, known as Indo-Saracenic architecture, is found in chaotically laid out, but externally grand structures in the form of currently used major railway stations, harbours, tax collection buildings, and other colonial offices in South Asia.[42] Vāstu Śastra Vidya was ignored, during colonial era construction, for several reasons. These texts were viewed by 19th and early 20th century architects as archaic, the literature was inaccessible being in an ancient language not spoken or read by the architects, and the ancient texts assumed space to be readily available.[36][42] In contrast, public projects in the colonial era were forced into crowded spaces and local layout constraints, and the ancient Vastu sastra were viewed with prejudice as superstitious and rigid about a square grid or traditional materials of construction.[42] Sachdev and Tillotson state that these prejudices were flawed, as a scholarly and complete reading of the Vāstu Śastra literature amply suggests the architect is free to adapt the ideas to new materials of construction, local layout constraints and into a non-square space.[42][44] The design and completion of a new city of Jaipur in early 1700s based on Vāstu Śastra texts, well before any colonial era public projects, was one of many proofs.[42][44] Other examples include modern public projects designed by Charles Correa such as Jawahar Kala Kendra in Jaipur, and Gandhi Ashram in Ahmedabad.[8][35] Vastu Shastra remedies have also been applied by Khushdeep Bansal in 1997 to the Parliament complex of India, when he contented that the library being built next to the building is responsible for political instability in the country.[45] German architect Klaus-Peter Gast states that the principles of Vāstu Śastras is witnessing a major revival and wide usage in the planning and design of individual homes, residential complexes, commercial and industrial campuses, and major public projects in India, along with the use of ancient iconography and mythological art work incorporated into the Vastu vidya architectures.[35][46] Vastu and superstition[edit] The use of Vastu shastra and Vastu consultants in modern home and public projects is controversial.[44] Some architects, particularly during India's colonial era, considered it arcane and superstitious.[36][42] Other architects state that critics have not read the texts and that most of the text is about flexible design guidelines for space, sunlight, flow and function.[36][46] Vastu Shastra is considered as pseudoscience by rationalists like Narendra Nayak of Federation of Indian Rationalist Associations.[47] Scientist and astronomer Jayant Narlikar considers Vastu Shastra as pseudoscience and writes that Vastu does not have any "logical connection" to the environment.[3] One of the examples cited by Narlikar arguing the absence of logical connection is the Vastu rule, "sites shaped like a triangle ... will lead to government harassment, ... parallelogram can lead to quarrels in the family." Narlikar notes that sometimes the building plans are changed and what has already been built is demolished to accommodate for Vastu rules.[3] Regarding superstitious beliefs in Vastu, Science writer Meera Nanda cites the case of N. T. Rama Rao, the ex-chief minister of Andhra Pradesh, who sought the help of Vastu consultants for his political problems. Rama Rao was advised that his problems would be solved if he entered his office from an east facing gate. Accordingly, a slum on the east facing side of his office was ordered to be demolished, to make way for his car's entrance.[48] The knowledge of Vastu consultants is questioned by Pramod Kumar (citation required), "Ask the Vaastu folks if they know civil engineering or architecture or the local government rules on construction or minimum standards of construction to advise people on buildings. They will get into a barrage of "ancient" texts and "science" that smack of the pseudo-science of astrology. Ask them where they were before the construction boom and if they will go to slum tenements to advise people or advise on low-cost community-housing—you draw a blank."[49] Sanskrit treatises on architecture[edit] Of the numerous Sanskrit treatises mentioned in ancient Indian literature, some have been translated in English. Many Agamas, Puranas and Hindu scriptures include chapters on architecture of temples, homes, villages, towns, fortifications, streets, shop layout, public wells, public bathing, public halls, gardens, river fronts among other things.[5] In some cases, the manuscripts are partially lost, some are available only in Tibetan, Nepalese or South Indian languages, while in others original Sanskrit manuscripts are available in different parts of India. Some treatises, or books with chapters on Vaastu Shastra include:[5] Manasara Brhat samhita Mayamata Anka sastra Aparajita Vāstu Śastra Maha-agamas (28 books, each with 12 to 75 chapters) Ayadi Lakshana Aramadi Pratishtha Paddhati (includes garden design) Kasyapiya Kupadi Jala Sthana Lakshana Kshetra Nirmana Vidhi (preparation of land and foundation of buildings including temples) Gargya samhita (pillars, doors, windows, wall design and architecture) Griha Pithika (types of houses and their construction) Ghattotsarga Suchanika (riverfront and steps architecture) Chakra sastra Jnana ratna kosha Vastu sarani (measurement, ratio and design layouts of objects, particularly buildings) Devalaya Lakshana (treatise on construction of temples) Dhruvadi shodasa gehani (guidelines for arrangement of buildings with respect to each other for harmony) Nava sastra (36 books, most lost) Agni Purana (Chapters 42 through 55, and 106 - Nagaradi Vastu) Matsya Purana (Chapters 252 through 270) Maya samgraha Prasada kirtana Prasada Lakshana Tachchu sastra (primarily home design for families) Manushyalaya Lakshana (primarily human dwelings) Manushyalaya Chandrika Mantra dipika Mana kathana (measurement principles) Manava vastu lakshana Manasollasa (chapters on house layout, mostly ancient cooking recipes) Raja griha nirmana (architecture and construction principles for royal palaces) Rupa mandana Vastu chakra Vastu tattva Vastu nirnaya Vastu purusha lakshana Vastu prakasa Vastu pradipa Vastu manjari Vastu mandana Vastu lakshana Vastu vichara Vastu Vidya Vastu vidhi Vastu samgraha Vastu sarvasva Vimana lakshana (tower design) Visvakarma prakasa (home, roads, water tanks and public works architecture) Vaikhanasa Sastra jaladhi ratna Silpa prakasa Silpakala Dipika Silpartha Śastra Sanatkumara Vāstu Śastra Samarangana Sutradhara See also[edit] Aranmula Kottaram Feng shui Kanippayyur Shankaran Namboodiripad Maharishi Vastu Architecture Shilpa Shastras Tajul muluk References[edit] ^ R Arya, Vaastu: The Indian Art of Placement, ISBN 978-0892818853 ^ Quack, Johannes (2012). Disenchanting India: Organized Rationalism and Criticism of Religion in India. Oxford University Press. p. 119. ISBN 9780199812608. Retrieved 17 August 2015. ^ Jump up to: a b c Narlikar, Jayant V. (2009). "Astronomy, pseudoscience and rational thinking". In Percy, John; Pasachoff, Jay (eds.). Teaching and Learning Astronomy: Effective Strategies for Educators Worldwide. Cambridge University Press. p. 165. ^ "GOLDEN PRINCIPLES OF VASTU SHASTRA Vastukarta". Retrieved 8 May 2016. ^ Jump up to: a b c d Acharya P.K. (1946), An Encyclopedia of Hindu Architecture, Oxford University Press ^ Kumar, Vijaya (2002). Vastushastra. New Dawn/Sterling. p. 5. ISBN 978-81-207-2199-9. ^ Jump up to: a b c d e f Stella Kramrisch (1976), The Hindu Temple Volume 1 & 2, ISBN 81-208-0223-3 ^ Jump up to: a b c d e f g h Vibhuti Sachdev, Giles Tillotson (2004). Building Jaipur: The Making of an Indian City. pp. 155–160. ISBN 978-1861891372. ^ Jump up to: a b Vibhuti Sachdev, Giles Tillotson (2004). Building Jaipur: The Making of an Indian City. p. 147. ISBN 978-1861891372. ^ George Michell (1988), The Hindu Temple: An Introduction to Its Meaning and Forms, University of Chicago Press, ISBN 978-0226532301, pp 21-22 ^ Jump up to: a b GD Vasudev (2001), Vastu, Motilal Banarsidas, ISBN 81-208-1605-6, pp 74-92 ^ Jump up to: a b c Sherri Silverman (2007), Vastu: Transcendental Home Design in Harmony with Nature, Gibbs Smith, Utah, ISBN 978-1423601326 ^ Gautum, Jagdish (2006). Latest Vastu Shastra (Some Secrets). Abhinav Publications. p. 17. ISBN 978-81-7017-449-3. ^ Monier-Williams (1899). ^ Jump up to: a b c BB Dutt (1925), Town planning in Ancient India at Google Books, ISBN 978-81-8205-487-5; See critical review by LD Barnett, Bulletin of the School of Oriental and African Studies, Vol 4, Issue 2, June 1926, pp 391 ^ Milton Singer (1991). Semiotics of Cities, Selves, and Cultures: Explorations in Semiotic Anthropology. Walter de Gruyter. p. 117. ISBN 978-3-11-085775-7. ^ Jump up to: a b Vibhuti Chakrabarti (2013). Indian Architectural Theory and Practice: Contemporary Uses of Vastu Vidya. Routledge. pp. 1–2. ISBN 978-1-136-77882-7. ^ Jump up to: a b Gudrun Bühnemann (2003). Mandalas and Yantras in the Hindu Traditions. BRILL Academic. pp. 251–254. ISBN 90-04-12902-2. ^ Jump up to: a b Meister, Michael W. (1983). "Geometry and Measure in Indian Temple Plans: Rectangular Temples". Artibus Asiae. 44 (4): 266–296. doi:10.2307/3249613. JSTOR 3249613. ^ Jack Hebner (2010), Architecture of the Vāstu Śastra - According to Sacred Science, in Science of the Sacred (Editor: David Osborn), ISBN 978-0557277247, pp. 85-92; N Lahiri (1996), Archaeological landscapes and textual images: a study of the sacred geography of late medieval Ballabgarh, World Archaeology, 28(2), pp 244-264 ^ Susan Lewandowski (1984), Buildings and Society: Essays on the Social Development of the Built Environment, edited by Anthony D. King, Routledge, ISBN 978-0710202345, Chapter 4 ^ LD Barnett, Bulletin of the School of Oriental and African Studies, Vol 4, Issue 2, June 1926, pp 391 ^ Jump up to: a b Alice Boner and Sadāśiva Rath Śarmā (1966), Silpa Prakasa Medieval Orissan Sanskrit Text on Temple Architecture at Google Books, E.J. Brill (Netherlands) ^ H. Daniel Smith (1963), Ed. Pāncarātra prasāda prasādhapam, A Pancaratra Text on Temple-Building, Syracuse: University of Rochester, OCLC 68138877 ^ Mahanti and Mahanty (1995 Reprint), Śilpa Ratnākara, Orissa Akademi, OCLC 42718271 ^ Amita Sinha (1998), Design of Settlements in the Vaastu Shastras, Journal of Cultural Geography, 17(2), pp 27-41, doi:10.1080/08873639809478319 ^ Tillotson, G. H. R. (1997). Svastika Mansion: A Silpa-Sastra in the 1930s. South Asian Studies, 13(1), pp 87-97 ^ Ganapati Sastri (1920), Īśānaśivagurudeva paddhati, Trivandrum Sanskrit Series, OCLC 71801033 ^ Heather Elgood (2000), Hinduism and the religious arts, ISBN 978-0304707393, Bloomsbury Academic, pp 121-125 ^ H Kern (1865), The Brhat Sanhita of Varaha-mihara, The Asiatic Society of Bengal, Calcutta ^ S Bafna, On the Idea of the Mandala as a Governing Device in Indian Architectural Tradition, Journal of the Society of Architectural Historians, Vol. 59, No. 1 (Mar. 2000), pp. 26-49 ^ Stella Kramrisch, The Hindu Temple, Vol 1, Motilal Banarsidass, ISBN 978-81-208-0222-3 ^ Jump up to: a b Vibhuti Chakrabarti (2013). Indian Architectural Theory: Contemporary Uses of Vastu Vidya. Routledge. pp. 86–99. ISBN 978-0700711130. ^ "Vastu for Beginners | Vastu Purusha Story | Vastu Shastra". 6 July 2015. ^ Jump up to: a b c Klaus-Peter Gast (2011). Modern Traditions: Contemporary Architecture in India. Birkhäuser Architecture. p. 11. ISBN 978-3764377540. ^ Jump up to: a b c d e f V Chakrabarti (2013). Indian Architectural Theory: Contemporary Uses of Vastu Vidya. Routledge. pp. 86–92. ISBN 978-0700711130. ^ Jump up to: a b Jantar Mantar & Jaipur - Section II National University of Singapore, pp. 17-22 ^ Irena Murray (2011). Charles Correa: India's Greatest Architect. RIBA Publishing. ISBN 978-1859465172. ^ Gerald Steyn (2011). "Le Corbusier's research-based design approaches" (PDF). SAJAH. Tshwane University of Technology. 26 (3): 45–56. ^ H Saini (1996). Vaastu ordains a full flowering for Chandigarh. The Tribune. ^ Reena Patra (2009). "Vaastu Shastra: Towards Sustainable Development". Sustainable Development. Wiley InterScience. 17 (4): 244–256. doi:10.1002/sd.388. ^ Jump up to: a b c d e f g Vibhuti Sachdev, Giles Tillotson (2004). Building Jaipur: The Making of an Indian City. pp. 149–157. ISBN 978-1861891372. ^ Anthony D'Costa (April 2012). A New India?: Critical Reflections in the Long Twentieth Century. pp. 165–168. ISBN 978-0857285041. ^ Jump up to: a b c V Chakrabarti (2013). Indian Architectural Theory: Contemporary Uses of Vastu Vidya. Routledge. pp. 86–99. ISBN 978-0700711130. ^ "'Harmonising' homes, hearts". Hindustan Times. 9 June 2012. Retrieved 4 January 2016. ^ Jump up to: a b Stephen Marshall (2011). Urban Coding and Planning. Routledge. pp. 83–103. ISBN 978-0415441261. ^ Quack, Johannes (2012). Disenchanting India: Organized Rationalism and Criticism of Religion in India. Oxford University Press. p. 170. ISBN 9780199812608. Retrieved 15 August 2015. ^ Sokal, Alan (2008). Beyond the Hoax: Science, Philosophy and Culture. Oxford University Press. pp. 306–307. ISBN 9780191623349. ^ Kumar, Pramod (14 May 2013). "Akshaya Tritiya and the great Indian superstition industry". Firstpost. Retrieved 15 August 2015. Further reading[edit] Wikimedia Commons has media related to Vastu Shastra. Acharya P.K. (1946), An Encyclopedia of Hindu Architecture, Oxford University Press - Terminology of Ancient Architecture Acharya P.K. (1946), Bibliography of Ancient Sanskrit Treatises on Architecture and Arts, in An Encyclopedia of Hindu Architecture, Oxford University Press - pages 615-659 B.B. Dutt (1925), Town Planning in Ancient India at Google Books IVVRF (2000), Journal Of International Conference Vastu Panorama 2000, Main Theme - The Study of Energetic Dimension of Man and Behavior of Environment IVVRF (2004), Journal Of International Conference Vastu Panorama 2004 IVVRF (2008), Journal Of International Conference Vastu Panorama 2008, Main Theme - Save Mother earth and life- A Vastu Mission IVVRF (2012), Journal Of International Conference Vastu Panorama 2012, Main Theme- Vastu Dynamics for Global Well Being V. Chakraborty, Indian Architectural Theory: Contemporary Uses of Vastu Vidya at Google Books Arya, Rohit Vaastu: the Indian art of placement : design and decorate homes to reflect eternal spiritual principles Inner Traditions / Bear & Company, 2000, ISBN 0-89281-885-9. Important Concepts of Vasthu Shasthra Traditional Indian Architecture Vastu: Transcendental Home Design in Harmony with Nature, Sherri Silverman Prabhu, Balagopal,T.S and Achyuthan,A, "A text Book of Vastuvidya", Vastuvidyapratisthanam, Kozhikode, New Edition, 2011. Prabhu, Balagopal,T.S and Achyuthan,A, "Design in Vastuvidya", Vastuvidyapratisthanam, Kozhiko Prabhu, Balagopal,T.S, "Vastuvidyadarsanam",(Malayalam) Vastuvidyapratisthanam, Kozhikode. Prabhu, Balagopal,T.S and Achyuthan,A, "Manusyalaya candrika- An Engineering Commentary", Vastuvidyapratisthanam, Kozhikode, New Edition, 2011. Vastu-Silpa Kosha, Encyclopedia of Hindu Temple architecture and Vastu/S.K.Ramachandara Rao, Delhi, Devine Books, (Lala Murari Lal Chharia Oriental series) ISBN 978-93-81218-51-8 (Set) D. N. Shukla, Vastu-Sastra: Hindu Science of Architecture, Munshiram Manoharial Publishers, 1993, ISBN 978-81-215-0611-3. B. B. Puri, Applied vastu shastra vaibhavam in modern architecture, Vastu Gyan Publication, 1997, ISBN 978-81-900614-1-4. Vibhuti Chakrabarti, Indian Architectural Theory: Contemporary Uses of Vastu Vidya Routledge, 1998, ISBN 978-0-7007-1113-0. hidevte Mathematics and art Concepts Algorithm Catenary Fractal Golden ratio Plastic number Hyperboloid structure Minimal surface Paraboloid Perspective Camera lucida Camera obscura Projective geometry Proportion Architecture Human Symmetry Tessellation Wallpaper group Fibonacci word: detail of artwork by Samuel Monnier, 2009 Forms Algorithmic art Anamorphic art Computer art 4D art Fractal art Islamic geometric patterns Girih Jali Muqarnas Zellige Knotting Celtic knot Croatian Interlace Interlace (art) Architecture Geodesic dome Islamic Mughal Pyramid Vastu shastra Music Origami Textiles String art Sculpture Tiling Artworks List of works designed with the golden ratio Continuum Octacube Pi Pi in the Sky Buildings Hagia Sophia Pantheon Parthenon Pyramid of Khufu Sagrada Família St Mary's Cathedral Sydney Opera House Taj Mahal Artists Renaissance Paolo Uccello Piero della Francesca Albrecht Dürer Leonardo da Vinci Vitruvian Man Parmigianino Self-portrait in a Convex Mirror 19th–20th Century William Blake The Ancient of Days Newton Giorgio de Chirico Salvador Dalí Crucifixion The Swallow's Tail M. 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