Project GeoArch helped the students to explore various facts about geometry, its integration with art and architecture by analysing and comparing different geometrical patterns found in the monuments, pyramids, temples and towers in Egypt, France and India.

1. CREATED BY : SNEY BHARDWAJ
ROLL NO.:34
CLASS:IX-A

2. Notre Dame cathedral, Paris
Sacré Coeur basilica, Montmartre, Paris
Gardens of the château de Versailles, near Paris
The Louvre, Paris
The Eiffel Tower Paris
The Georges Pompidou centre and museum of art,
Notre Dame Cathedral, Strasbourg
La Villette science museum, Paris
Château de Versailles
Mont Saint Michel, Normandy

3. Notre Dame cathedral, Paris
 1.Notre Dame de Paris ('Our Lady of Paris' in French) is a
Gothic cathedral on the eastern half of the Île de la Cité in
the fourth arrondissement of Paris, France, with its main
entrance to the west. It is the cathedral of the Catholic
archdiocese of Paris: that is, it is the church that contains
the "cathedra", or official chair, of the Archbishop of Paris.
Notre Dame de Paris is widely considered one of the finest
examples of French Gothic architecture in the world.
 MATHS AND FACTS: The cathedral is roughly 128 meters
(420 ft) in length, and 12 meters (39 ft) wide in the nave.
The interior of the cathedral is 427 by 157 feet (130 by 48
meters) in plan, and the roof is 115 feet (35 meters) high.
Symmetry can be seen and a good use of circles domes are
used

4. Sacré Coeur
basilica,Montmartre, Paris
 The inspiration for Sacré Cœur's design originated on September 4, 1870,
the day of the proclamation of the Third Republic, with a speech by
Bishop Fournier attributing the defeat of French troops during the
Franco-Prussian War to a divine punishment after "a century of moral
decline" since the French Revolution, in the wake of the division in
French society that arose in the decades following that revolution,
between devout Catholics and legitimist royalists on one side,[3] and
democrats, secularists, socialists and radicals on the other.
 MATHS AND FACTS:Length-85 meters (279 ft)
Width-35 meters (115 ft)
 Height (max)-83 meters (272 ft
 The church was built atop the hill of Montmartre at an altitude of 130
meters above sea-level. The bell tower and the dome both reaches 83 m
high, which makes it the second-highest point in Paris (213 m) after the
Eiffel Tower (324 m) and just before the Montparnasse Tower (210 m).

5. Gardens of the
châteaudeVersailles,
 The Gardens of Versailles occupy part of what was once
the Domaine royal de Versailles, the royal demesne of
the château of Versailles. Situated to the west of the palace, the
gardens cover some 800 hectares of land, much of which is
landscaped in the classic French Garden style perfected here
by André Le Nôtre. Beyond the surrounding belt of woodland,
the gardens are bordered by the urban areas of Versailles to the
east and Le Chesnay to the north-east, by the
National Arboretum de Chèvreloup to the north, the Versailles
plain (a protected wildlife preserve) to the west, and by the
Satory Forest to the south.
 MATHS AND FACTS: A great role of symmetry. The grounds of
Versailles contain 11 main fountains. Versailles includes a large
canal and two parterres, large rectangular pools and more than 15
decorative water elements .

6. THE LOUVRE Paris
 The museum is housed in the Louvre Palace, originally built as a
fortress in the late 12th century under Philip II. Remnants of the
fortress are visible in the basement of the museum. Due to the
urban expansion of the city, the fortress eventually lost its
defensive function and, in 1546, was converted by Francis I into
the main residence of the French Kings. The building was
extended many times to form the present Louvre Palace.
 MATHS AND FACTS: The Louvre’s glass pyramid was built in
1989 and is 21 meters high. It is made solely of glass and metal
and is now one of the city’s most recognizable landmarks. It’s
erection, however, caused a fair bit of controversy, as the
architect, I.M. Pei, was the first non-French architect to work on
the Louvre.
 Many are unaware that the glass pyramid is one of four, as three
smaller glass pyramids surround the courtyard, Cour Napoleon.

7. The Eiffel Tower Paris
 The Eiffel Tower is a wrought iron lattice tower on the Champ
de Mars in Paris, France. It is named after the engineer Gustave
Eiffel, whose company designed and built the tower. Constructed
from 1887–89 as the entrance to the 1889 World's Fair, it was
initially criticized by some of France's leading artists and
intellectuals for its design, but it has become a global cultural
icon of France and one of the most recognizable structures in the
world.[3] The Eiffel Tower is the most-visited paid monument in
the world; 6.91 million people ascended it in 2015.
 MATHS AND FACTS: The tower is 1063 feet tall. This is
approximately equal to the height of an 81 storey building.
Structural towers can be divided into two groups: columns,
which are designed to primarily resist dead loads, and
cantilevers, which are designed to primarily resist wind
loads. This distinction can be made mathematically by the
following relation:
.

8. This measure is a ratio of the axial forces created by
the dead load (NG) and the wind load (NW), and is used
to determine how well a structure’s design accounts
for wind loads. The general rule of thumb which is
accepted by building codes is that a structure may be
overstressed by wind by 33% (hence the 4/3 factor)
before special design is necessary, i.e., the axial force
created by the wind can be up to one-third of the axial
force from the dead load. If this requirement is met,
the structure can be designed simply as a column
because it is assumed that the wind forces will be
‘absorbed’ by the safety factors.

9. The Georges Pompidou centre
 Centre Georges Pompidou commonly shortened to Centre
Pompidou and also known as the Pompidou Centre in English, is a
complex building in the Beaubourg area of the 4th arrondissement of
Paris, near Les Halles, rue Montorgueil, and the Marais. It was designed
in the style of high-tech architecture by the architectural team
of Richard Rogers and Renzo Piano, along with Gianfranco Franchini.
 MATH ANS FACTS:The building was opened in 1977, and was named after
the French President, Georges Pompidou. It has about 100,000 square
yards of floor space on 7 levels and is about 140 feet high.
 The centre has about 200,000 square feet of gallery space. It contains
over 65,000 pieces of art, by over 5,000 artists representing over 100
countries.
 Height-42,0m / 138ft
 Floors-6
 Surface-1.000.000m2 / 10,763,910sq ft
 The building is 166 meters long and 60 meters wide.

10. Notre Dame Cathedral, Strasbourg
 Strasbourg Cathedral or the Cathedral of Our Lady of Strasbourg (also
known as Strasbourg Minster, is a Roman
Catholic cathedral in Strasbourg, Alsace, France. Although considerable
parts of it are still in Romanesque architecture, it is widely
considered[2][3][4][5] to be among the finest examples of high, or
late, Gothic architecture. Erwin von Steinbach is credited for major
contributions from 1277 to his death in 1318.
MATHAS AND FACTS: Total length: 112 m (367 ft)
 Total length inside: 103 m (338 ft)
 Height of spire: 142 m (466 ft)
 Height of observation deck: 66 m (217 ft)
 Height of crossing dome: 58 m (190 ft)
 Exterior height of central nave: 40 m (130 ft)
 Inside height of central nave: 32 m (105 ft)
 Inside width of central nave: 16 m (52 ft)
 Inside height of lateral naves: 19 m (62 ft)

11. La Villette science museum, Paris
 8. The Parc de la Villette is the third-largest park in Paris,
55.5 hectares in area, located at the northeastern edge of
the city in the 19th arrondissement. The park houses one of
the largest concentration of cultural venues in Paris,
including the Cité des Sciences et de l'Industrie (City of
Science and Industry, Europe's largest science museum),
three major concert venues, and the
prestigious Conservatoire de Paris.
 FACTS: Viewpoint
 Parc de la Villette, Bassin de la Villette.
 Architectural style
 Contemporain

12. Château de Versailles
 The Palace of Versailles, Château de Versailles, or simply Versailles (When the
château was built, Versailles was a small village dating from the 11th century;
today, however, it is a wealthy suburb of Paris, some 20 kilometres (12 miles)
southwest of the centre of the French capital (point zero at square in front
of Notre Dame). Versailles was the seat of political power in the Kingdom of
France from 1682, when King Louis XIV moved the royal court from Paris, until
the royal family was forced to return to the capital in October 1789, within three
months after the beginning of the French Revolution. Versailles is therefore
famous not only as a building, but as a symbol of the system of absolute
monarchy of the Ancien Régime.
 Facts and maths: The gardens of the Palace of Versailles cover 30,000+ acres. The
gardens included 400 sculptures and 1400 fountains.
 The Palace of Versailles contained more than 5,000 pieces of furniture, and 6,000
paintings. Palace of Versailles, Versailles, Île-de-France, France elevation is 141
meters height, that is equal to 463 feet.
 Latitude-48.804722
 Longitude-2.121782
 DMS Lat-48° 48' 16.9992'' N
 DMS Long-2° 7' 18.4152'' E

13. Mont Saint Michel, Normandy
Le Mont-Saint-Michel is an island commune in Normandy, France.
It is located about one kilometre (0.6 miles) off the country's
northwestern coast, at the mouth of the Couesnon
River near Avranches and is 100 hectares (247 acres) in size. As of
2009, the island has a population of 44.
 MATHS AND FACTS:Area_0.97 km2 (0.37 sq mi)
 • Density-45/km2 (120/sq mi)
 The Mont has a circumference of about 960 metres (3,150 ft) and
its highest point is 92 metres (302 ft) above sea level.[7]
 The tides can vary greatly, at roughly 14 metres (46 ft) between
high and low water marks Theisland covers an area of 100
hectares (247 acres) with a population of about 50 people..
 It is located about 1 kilometer (0.6 miles) off the country’s
northwestern coast, at the mouth of the Couesnon River near
Avranches.

15. Palace of the Popes, Avignon
 In the beginning of the 14th century Avignon recovered from the events
of the preceding century. If she didn't recover the powerful role in the
region to which she aspired the city did rapidly dress its wounds : the
Saint Benezet bridge was repaired, and the outer ramparts were
reconstructed. After some whimsical rebellions against Capetien
authority, the Avigonnais seem to have become wiser for their troubles.
The city counts a population of 4000 to 6000, which is a high number
for the Middle Ages.
 MATHS AND FACTS: it occupied an area of 11,000 m2 (118,403 sq ft).
The building was enormously expensive, consuming much of the
papacy's income during its construction. With 15,000 m2 of floor space,
the Palais is the largest Gothic palace in all of Europe[9] and, due to its
many architectural merits, one of the most important in the world.

16. The Arc de Triomphe, Paris
 The Arc de Triomphe should not be confused with a
smaller arch, the Arc de Triomphe du Carrousel, which
stands west of the Louvre. The Arc de Triomphe honors
those who fought and died for France in the French
Revolutionary and Napoleonic Wars, with the names of all
French victories and generals inscribed on its inner and
outer surfaces. Beneath its vault lies the Tomb of the
Unknown Soldier from World War I..
 MATHS AND FACTS: Construction started-15 August
1806[1]Inaugurated-29 July 1836[2]Height50 m
(164 ft)Dimensions. Other dimensions Wide: 45 m (148 ft)
Deep: 22 m (72 ft)Design and constructionArchitectJean
Chalgrin, Louis-Étienne Héricart de Thury

17. BIBLIOGRAPHY
 IT WAS INTERESTING WORK FOR THE HOLIDAY.
 FOR COMPLITTING THIS TASK I TOOK HELP OF:
 MY OLD FRENCH BOOKS
 WIKIPEDIA
 YAHOO ANSWERS
 ABOUTFRANCE.COM

18. HOPE YOU LIKE
IT!