![• The dome is nearly 35 metres high which is close in measurement to the
length of the base, and accentuated by the cylindrical "drum" it sits on
which is approximately 7 metres high. Because of its shape, the dome is
often called an onion dome.The top is decorated with a lotus design which
also serves to accentuate its height. The shape of the dome is emphasised
by four smaller domed chattris placed at its corners, which replicate the
onion shape of the main dome. The dome is slightly asymmetrical.[15] Their
columned bases open through the roof of the tomb and provide light to
the interior. Tall decorative spires extend from edges of base walls, and
provide visual emphasis to the height of the dome.
• The minarets, which are each more than 40 metres tall, display the
designer's penchant for symmetry. The minarets were constructed slightly
outside of the plinth so that in the event of collapse, a typical occurrence
with many tall constructions of the period, the material from the towers
would tend to fall away from the tomb.](https://image.slidesharecdn.com/mathsinarchitectureofthetajmahal-170108162157/85/Maths-in-architecture-of-the-taj-mahal-8-320.jpg)
Maths in architecture of the taj mahal
- 1. MATHS IN ARCHITECTURE OF THE TAJ MAHAL By Narmada Padiyar
- 2. Brief History of Taj Mahal • It was commissioned in 1632 by the Mughal emperor Shah Jahan to house the tomb of his favorite wife Mumtaz Mahal. • The principal mausoleum was completed in 1643 and the surrounding buildings and garden were finished about five years later.
- 3. Architecture • The Taj Mahal ,(meaning Crown of the Palace) is an ivory-white marble mausoleum on the south bank of the Yamuna river in the Indian city of Agra. • The Taj Mahal complex is believed to have been completed in its entirety in 1653 at a cost estimated at the time to be around 32 million rupees, which in 2015 would be approximately 52.8 billion rupees (US$827 million). • The construction project employed some 20,000 artisans under the guidance of a board of architects led by the court architect to the emperor, Ustad Ahmad Lahauri • The tomb is the centerpiece of a 17-hectare (42-acre) complex, which includes a mosque and a guest house, and is set in formal gardens bounded on three sides by a crenellated wall.
- 4. • The Taj Mahal incorporates and expands on design traditions of Persian and earlier Mughal architecture. • Specific inspiration came from successful Timurid and Mughal buildings including the Gur-e Amir (the tomb of Timur,in Samarkand),Humayun's Tomb and Shah Jahan's own Jama Masjid in Delhi. • The main building of the Taj Mahal was designed using the Golden Ratio. • The rectangles that served as the basic outline for the exterior of the building were all in the Golden Proportion. • It is 73 metres(240 feet)in height.
- 6. Parts of the Taj Mahal • Tomb • Decorations • Interior and exterior • Garden • Outlying buildings
- 7. The Tomb • It is the central focus of the entire complex of the Taj Mahal. It is a large, white marble structure standing on a square plinth and consists of a symmetrical building with an iwan (an arch-shaped doorway) topped by a large dome and finial. Like most Mughal tombs, the basic elements are Persian in origin. • The base structure is a large multi-chambered cube with chamfered corners forming an unequal eight-sided structure that is approximately 55 metres (180 ft) on each of the four long sides. Four minarets frame the tomb, one at each corner of the plinth facing the chamfered corners.
- 8. • The dome is nearly 35 metres high which is close in measurement to the length of the base, and accentuated by the cylindrical "drum" it sits on which is approximately 7 metres high. Because of its shape, the dome is often called an onion dome.The top is decorated with a lotus design which also serves to accentuate its height. The shape of the dome is emphasised by four smaller domed chattris placed at its corners, which replicate the onion shape of the main dome. The dome is slightly asymmetrical.[15] Their columned bases open through the roof of the tomb and provide light to the interior. Tall decorative spires extend from edges of base walls, and provide visual emphasis to the height of the dome. • The minarets, which are each more than 40 metres tall, display the designer's penchant for symmetry. The minarets were constructed slightly outside of the plinth so that in the event of collapse, a typical occurrence with many tall constructions of the period, the material from the towers would tend to fall away from the tomb.
- 10. Exterior Decorations • The exterior decorations of the Taj Mahal are among the finest in Mughal Architecture. • Throughout the complex are passages from the Qur'an that comprise some of the decorative elements. Recent scholarship suggests that the passages were chosen by Amanat Khan. finest in Mughal architecture. • The calligraphy on the Great Gate reads "O Soul, thou art at rest. Return to the Lord at peace with Him, and He at peace with you.” • The calligraphy was created in 1609 by a calligrapher named Abdul Haq.
- 11. Base, dome and minaret. Finial, tamga of the Mughal Empire. Plant motifs. Reflective tiles. Marble jali lattice. Calligraphy on the walls.
- 12. Interior Decorations • The interior chamber of the Taj Mahal reaches far beyond traditional decorative elements. • The inner chamber is an octagon with the design allowing for entry from each face, although only the door facing the garden to the south is used. The interior walls are about 25 metres (82 ft) high and are topped by a "false" interior dome decorated with a sun motif.
- 13. Flowers carved in marble. Detail of pietra dura jali inlay. Delicacy of intricate pierce work. Archways in the mosque. Incised painting. Finial floor tiling. Detail of jali.
- 14. Garden • The complex is set around a large 300-metre (980 ft) square charbagh or Mughal garden. • The garden uses raised pathways that divide each of the four quarters of the garden into 16 sunken parterres or flowerbeds. • Halfway between the tomb and gateway in the centre of the garden is a raised marble water tank with a reflecting pool positioned on a north- south axis to reflect the image of the mausoleum. • Elsewhere, the garden is laid out with avenues of trees and fountains.
- 15. LAYOUT OF THE GARDEN
- 16. Outlying Buildings • The Taj Mahal complex is bordered on three sides by crenellated red sandstone walls; the side facing the river is open. Outside the walls are several additional mausoleums, including those of Shah Jahan's other wives, and a larger tomb for Mumtaz's favourite servant. • At the far end of the complex are two grand red sandstone buildings that mirror each other, and face the sides of the tomb. The backs of the buildings parallel the western and eastern walls. The western building is a mosque and the other is the jawab (answer), thought to have been constructed for architectural balance although it may have been used as a guesthouse. • The outlying buildings were completed in 1643.
- 17. MAP OF THE OUTLYING BUILDINGS
- 18. Construction • An area of roughly 1.2 hectares (3 acres) was excavated, filled with dirt to reduce seepage, and levelled at 50 metres (160 ft) above riverbank. • In the tomb area, wells were dug and filled with stone and rubble to form the footings of the tomb. Instead of lashed bamboo workmen constructed a colossal brick scaffold that mirrored the tomb. The scaffold was so enormous that foremen estimated it would take years to dismantle. • The Taj Mahal was constructed using materials from all over India and Asia. It is believed over 1,000 elephants were used to transport building materials.
- 19. • The translucent white marble was brought from Makrana, Rajasthan, the jasper from Punjab, jade and crystal from China. The turquoise was from Tibet and the Lapis lazuli from Afghanistan, while the sapphire came from Sri Lanka and the carnelian from Arabia. In all, twenty-eight types of precious and semi-precious stones were inlaid into the white marble.