GEOCITY Book

The recess is connected to the courtyard of the Town Hall

It is a large rectangular square, the stairs arranged in a semicircle are headed by two large spheres.&nbsp;

La Recova began in 1861, it was the only food market in Lanzarote. Farmers would arrive with their camels and donkeys loaded with the produce they grew on their land.&nbsp;

29°9′24.98″&nbsp;N,&nbsp;13°25′55.39″&nbsp;W

The never-ending Atlántida has a known length of 6 km and it provides a great experience. Jameos del Agua is the first Art, Culture and Tourism Centre ever to be created by César Manrique, and for many, it is also a reflection of his aesthetic ideals: harmony between nature and art. At least 1.5 km of the tunnel run under the sea surface, and it is called the Atlantis Tunnel.

Jameos del Agua is a place on earth where nature and mankind decided to come together.

Degree of protection Site of scientific interest Date of creation 1968 Area 30.9 ha

The fountain is located at 750 m of altitude on the Bibracte’s site. It was a former Gallic city located 25km from Autun. It has a kind of oval shape like an almond. The area can be calculated with the formula: area = pi*a*b (with a the major radius and b the minor radius). Then when multiplying by the height, we find the volume of the fountain which is how much water the fountain can contain (one meter cubed contains a thousand liters of water). Here are the dimensions: it is approximately 12 meters long, 5 meters wide and 1 meter high. So, the area is equal to pi*(12/2) *(5/2) m² (approximately 47.12 m²). The result isn’t very precise because the fountain isn’t a perfect ellipse.

It’s the tallest building on the island. It consists of 15 floors and has a height of 54 meters. It was built in 1996 and was inaugurated on September 14, 1970. It is located at the end of the sea reef avenue next to the sea and the beach of the reducto. The building functions as a 5-star hotel.

The largest hotel in Lanzarote, hence its name, began to be built in 1966 and was completed in 1970. It was closed in 1990 and burnt down in 1994. It was rebuilt in 2004.&nbsp;

The old building had large cube-shaped balconies. Now they are rectangular glass structures and do not have balconies.

46° 56’ 03’’ North 4°17’14’’ East

The Liberation Cross is a granite construction on the top of Saint-Sébastien mountain, near the town. It overhangs Autun and can be seen from the city. It was built to commemorate the Liberation of Autun during World War II. The first stone was placed on September 9th, 1945 and the cross was inaugurated on September 5th, 1948, 3 years later. Here are its dimensions: 1,6m*2m*10.4m (a cuboid) and two cubes (1.6m side). We can calculate its volume by dividing the cross into a cuboid and two cubes: V(cuboid) = 1.6*2*10.4 m³ and V(cube) = 1.6³ m³ So, V(cross) = V(cuboid) + 2*V(cube) = 41.472 m³

Le Creusot's steam hammer was built in 1875 and put into service in 1877. It was owned by the company Schneider, belonging to the Schneider family, one of the most powerful French family during the industrial revolution. The steam hammer was used to shape metal parts and make 120 tons steel lingots. The steam hammer is composed of 4 parts: ●The foundations with the anvil ●The hammer frame&nbsp; ●The steam cylinder with distributor and the control linkage ●The actic mass consisting of the piston, connecting rod and the hammer head.&nbsp;

The total weighs 1300 tons and is 21 meters high. Moreover, it's essential to have steam furnace working with coal in order to start the hammer.&nbsp; The hammer has a striking power of 4,93 MJ, it is incredible. For a long time, it was the most powerful steam hammer in the world.&nbsp; It shut down in 1930, and is, from now on, exposed in the city of Le Creusot, 26 kilometers away from Autun.

The height of the total structure is about 16 meters for a width of 18.55 meters.&nbsp; At the bottom there are 2 main doors which were made for the vehicules when the 2 others, on the sides, were made for pedestrians. The doors are made of a rectangle with a central semicircle above. At the top, there are 7 small bridges, but, right after the construction, there were 10. Those bridges were built in the same way as the doors.

Our school: IES Las Maretas

Our school, Las Maretas, is named after its neighbour building, which is a very big infrastructure that used to store water for the capital of the island during the 20th century.

Constructed:&nbsp;3954.7 square meters Year of construction: 1986

VÍCTOR FENÁNDEZ GOPAR "EL SALINERO" THEATRE

In 2016, and after a popular vote sponsored by the Cabildo of Lanzarote itself, it was renamed the Víctor Fernández Gopar Theater “El Salinero”, in homage to the poet of the same name born in Las Breñas in 1844, and who died in Yaiza in 1920 .

The building reopens its doors definitively in 2011with a capacity for 588 spectators, plus 4 spaces reserved for people with reduced mobility (PRM)

THE PUDDLE OF THE CLICOS

A lake inside the crater of a volcano on Lanzarote. Here, the crater of an ancient volcano plunges into the Atlantic Ocean creating a lake known as Charco de los Clicos, declared a Nature Reserve. Its green colour, caused by the algae found at the bottom, contrasts with the black sand of the so-called El Golfo beach, located barely 100 metres from the lake, and with the blue of the sky and the sea.

The Charco Verde has an approximate length of 100 m to the Atlantic Ocean, connected to the lake through subterranean crevices. A viewpoint is located in the northern part. The beach where the lagoon is located is gravel, 320 m long and 30 m wide. It has a low degree of occupation without a promenade and isolated since it is part of the Timanfaya National Park, in addition to the fact that strong marine currents run in the area where it is located.

Graph paper

The statue of Nicéphore Niépce is located in Chalon-sur-Saône. It is situated in this city because Niépce is the inventor of photography and Chalon is his home town. The original statue dates back to 1885 but the actual statue is a reproduction because it was melted down during WW II. It was rebuilt in 1946 following the German occupation of France. The right pavement located under the statue is 1.80 m high, and measures 1.40 m in width and in length. Finally, its volume is about 3.6 m³.

The sculpture has a height of 3 meters, and is located on a huge stone of about two tons. The message of this sculpture, reinforced by its title, is heartbreaking: the man, turned into music, raises his voice loudly singing the workers' anthem (The Internationale) in a desperate attempt to make the people hear his call and all the workers of the world join forces to fight against exploitation and oppression. For fear of Franco's repression, this sculpture remained hidden for many years in Pancho Lasso's house, and its title was transformed into the less suspicious "Monument to Music".&nbsp;

Tribute to the sculptor Mr Francisco Lasso Morales "PANCHO LASSO" favorite son of Lanzarote Arrecife 1904 - Madrid 1973 Monument for the Internationale (to the music)

This gorgeous cathedral was built in the 12th century. It’s highly decorated and has several sculptures. Its tympanum is very famous, since it is huge and unique. It has recently been renovated.&nbsp;

The cathedral has the shape of a cross, with dimensions of 8x30x77 m.

&nbsp;THE YELLOW HOUSE "La casa amarilla"

The "Casa Amarilla" is the name given to the former Cabildo of Lanzarote on Calle León y Castillo, also known as Calle Real. This is one of the best known buildings in the city, built in the late 1920s. After being declared an Asset of Cultural Interest in 2002, the building underwent a thorough renovation process which was completed in the summer of 2014.

Perimeter roof: 65.8 m Area roof: 249 m²

We can see that the upper windows end in semicircular arches (semicircles) and that each of them has a balustrade with 6 parallel white pieces.

The watch that has a circular dial looking at it from the front, what we actually see is an ellipse.

In total with those of the balcony: (14 windows·6 ) + (18 of the balcony) = 102 white pieces.&nbsp;

Different geometric figures can be seen on the grilles of the door and the two lower windows.&nbsp;

MONUMENT TO THE CAMPESINO - Farmers' House Museum

The monument shows in an abstract way a farmer with a camel and a donkey. It is made from recycled boat water tanks, iron and cement, all painted white. The 15 meters/50 feet high monument is located in the geographical center of the island of Lanzarote and is an iconographic symbol of the island.

The jail of Autun is made up of two buildings: the first is rectangular in shape, and dedicated to the administration, and the other is a circular tower, in accordance with the type of cellular architecture. This is 13 meters high, 23 meters in diameter. The volume of a cylinder is 2π r times the height. 13x11.5x2π = 939 m³. It is made up of 50 cells, divided into 3 levels. Each cell is 4 meters deep, 2 meters on the short side and 3 meters on the large one.

Built in 1855, the prison of Autun is now transformed into a museum. After various renovations, it is finally included in the list of monuments not to be missed in Autun.&nbsp;

The salt pans were built in 1895 The lagoon where the salt pans are located was created by volcanic eruptions that created a barrier of lava between the sea and the lagoon, which currently has a circumference of about 1000 m and an average depth of about 3 metres.

The Castle of Guédelon is a castle which is being rebuilt with the same methods as in the Middle Ages. While visiting it, you won't see any electric or programmed machines. Everything is handmade thanks to builders, woodcutters, carpenters, blacksmiths, quarrymen who are working hard on the construction site. People there wear medieval clothes. This castle is often visited by many French students. It is a touristic place.

The Couhard pyramid is a strange monument which overhangs the town. Some girls can see it from their bedrooms. It is an antique monument which might have been built during the first century. Nobody knows what it really was, but scientists say that it was probably a funerary monument, and they also declared that it used to be covered with white marble. In 1960, architects found a “magic” lead slab with maleficent Latin and Greek notes written on it.

The monument is what's left of a pyramid with a square base that was 10.50m on each side and 22.65m high. The monument does not contain an inner chamber/room.&nbsp;

Here are some calculations made with the above data : The volume of a pyramid is equal to 1/3 c² x h. V = 1/3 x (10.5)² x 22.65 = 832.3875 m³

THE FIRE MOUNTAIN - National Park of Timanfaya

Las Montañas del Fuego are like a walk on the Moon on earth. They originated after the violent volcanic eruptions in the south of Lanzarote between 1730 and 1736 resulting in the Parque Nacional de Timanfaya.

The 'Perseverance' rover, from the Mars 2020 mission belonging to NASA's Mars Exploration Program, will dock a few minutes before 10:00 p.m. on Thursday, February 18, on the surface of the Jezero volcano, in a grid of 1.2 x 1.2 kms baptized by the scientific community with the name of Timanfaya due to the “great similarities” that the area has with the landscape of the Lanzarote National Park.

From deep down on earth, Islote de Hilario stands out, surrounded by a 200-square-kilometre sea of lava where 25 dormant craters lay. There, Manrique&nbsp;built of El Diablo restaurant bringing that place to life. The furnace in El Diablo uses the natural heat of the earth to cook unique,&nbsp;at almost 300 degrees.&nbsp;

The Louxor obelisk is 23 meters high and weighs 230 tons. It’s from Egypt, it was given to Charles Ⅹ (king of France) as a gift from Méhémet Ali (vice-king of Egypt) in 1830. It was first erected in front of the temple of Louxor, then they took it away to send it to France, in Paris, precisely at the localisation: 48° 51′ 56″ N, 2° 19′ 16″ E. Many hieroglyphs are written on the obelisk, which mainly refer to gods that Egyptians used to believe in. It became a historical monument in 1937, the pedestal is made of pink granite. As we know its volumic mass turns around 2650 kg/m³, we can find the volume of the obelisk, which is approximately 87 000 m³.

Lyon, France. 45° 43′ 58″ N, 4° 49′ 06″ E.

It’s a big museum. The area of the floor is 22000 m² ; but is not as huge as the Louvre (museum in Paris), which has an area of 360000 m². The museum is around 160km far from Autun. By car or train, we have to travel at least 180km (because roads are not perfectly straight). The dimensions of the total museum are 190 meters for the length, 90 meters for the width and 41 meters for the height, at least we have an approximate volume of 700000 m3. The idea was to create three kinds of areas: the Crystal, of 1900 m², which is the entrance, then the Cloud (10 900 m² for 6 000 tons) which corresponds to expositions’ rooms, and finally the Pedestal that supports the Crystal and the Cloud. This concrete base, with an area of 8 700 m², is built with 14 poles and 3 main piers and designed on two semi-underground levels.

The preparatory military school for cavalry was created in 1885 as well as the parade ground (place d'Armes in French).&nbsp; The parade ground in a military camp, is a large flat area where soldiers march&nbsp;and&nbsp;practice military movements. In our school, it's the place where the ceremonies take place.&nbsp; All the students and the people working in the school meet to share solemn moments. It is 74.5 m wide and 80 m long.&nbsp; Its surface is 6115 m².&nbsp;

On the parade ground, we find a flagpole and we raise the flag, every day. But once a week, we gather on this place for the report. Moreover, on the parade ground, we do important French ceremonies, like May 8th.

At present, the quay has the capacity to accommodate around 16 fishing boats, using 8 pontoons. The Port's fishing facilities are characterised by warehouses, fishmongers and a fish market, whose concessionaire is the Fishermen's Guild of San Ginés. They occupy a total surface area of 660 m².&nbsp;From its origins in the 1940s to the present day, the aim of the fishermen's guild has always been the same: to protect and defend the interests of seafarers and to make life easier for them, a life so full of bad times and painful passages. The ancient Canarian sailors traveled more than 1000 kilometers along the coast of Africa in artisanal boats.

Typical chimneys of Lanzarote - Santiago Alemán

The Cabildo de Lanzarote is the governing body of the island of Lanzarote, Like all councils, it was formed from the Law of Councils of 1912, and is the governmental and administrative form typical of the Canary Islands. which serves two main functions

The upper windows are formed by semicircular arches and rectangles

The kiosk base is a decagon. The part of the door is a semicircle

The part of the kiosk below the roof is a prism whose base is a polygon, which we will assume to be regular.&nbsp;

Windows are ellipses&nbsp;

In the upper part we find a figure that follows this scheme:&nbsp;

The kiosks arrive in the Canary Islands at the end of the 19th century. The old kiosk had a simple structure: base, columns and cover. It had a small octagonal stage, from which eight columns departed that they supported the cover or tornavoz; it has two heights, dedicating the lower part, which was sunk one meter down and which is accessed by going down some steps. Height enhances the expansion of the sound wave in all directions and makes it easier for musicians to see. The shape has oriental elements as we observe on the ceiling. The wood improved the acoustics so it was built with wood of tea and riga. It had interesting decorative elements such as the weather vane, the heraldic finials and shields, the lamps, etc., and it was painted in "red" color.

&nbsp;&nbsp;Volcano House. César Manrique Foundation.&nbsp;Tahíche

César Manrique (1919-1992) was born in Arrecife, Lanzarote. He is about to build his house in Taro de Tahiche when he decides to live in Lanzarote after his American period. The residence was the place where the Conejero artist lived the longest in his life (20 years, from 1968 to 1988)

28º57´16´´ N 13º33´07´´z: 1.50 m Escale: 1:2000 m Length: 0.725 km Area: 16 425 m²

It is linked to the island of Lanzarote by a narrow bridge which is 168 metres long

LMA is our school's name, meaning Lycée Militaire d'Autun. It is a former seminary, but it was then transformed into a preparatory military cavalry school (what a transformation !). Finally, in 1983, it became the military school that we know today.

BRIDGE OF THE BALLS&nbsp;

The bridge is 245.8 m in length

The lateral bridge is 0.863 kilometres long

It was built in 1771, during the reign of Carlos III as part of the joint project that headed the castle of San José. Its main function was to serve as a defense against pirate attacks. Being located on an islet, next to the castle and joining it to the shore of Arrecife, it raised its footbridge if the enemies arrived, isolating the fortress and protecting it. In another era, it was the only thing that communicated the port with the rest of the city of Arrecife. On one of the pillars of the bridge there is a plaque written in ancient Roman that welcomed merchants and conquerors. The Bridge of the Balls is like the Columns of Hercules in miniature, as it holds the two symbolic balls of the world. A drawbridge made of stone for the most part and some wood, complements the structure of the viaduct that preserves a 175 meter cobbled path that connects this north bridge with the city on one side, and with the fortification on the other.

&nbsp;"LAS MARETAS DEL ESTADO"

The maretas were created to collect the water that flowed down the slopes. In 1902, after several years of drought, their construction began. The purpose was to ensure the supply to the capital of the island. There were many problems with the works and they remained unfinished due to lack of funds, until King Alfonso XIII, during his visit to the island in 1906, granted an aid for their completion in 1912. The maretas occupy an area of 90,000 m3 (with 3900 m3 for the 16 cisterns and the rest as a storage area). Each cistern is 31 m long, 6 m wide and 6 m high.&nbsp;In 1997 the Maretas Project was initiated by the Cabildo Insular de Lanzarote to restore these works of industrial water archeology and convert the water collection area into a large space of contemporary culture.&nbsp;

This place is made up of 4 geometric shapes: - two rectangles, - one triangle, - an octagon (with the top view from above).&nbsp; Here are the informations of these different shapes:

AGUSTÍN DE LA HOZ HOUSE OF CULTURE&nbsp;

It was a 19th century mansion. Today it is an important cultural center where talks are held, book are presented, ...

Area roof: 646,6 m² Perimeter roof: 102,9 m Escale: 1:2000

If we look at the upper windows and consider that the panes are all square. If we were to count all the possible squares we would soon realise that there are more than 75

We can observe the symmetry of the staircase complements

Beaune Hotel-Dieu, also named the Hospices de Beaune, was founded in the 15th&nbsp;century in Beaune. Beaune is a city located one-hour-drive from Autun in Burgundy. It was a hospital founded in the 15th century. Thanks to it, poor people had the chance to be freely cured under the care of nuns. The Hospices de Beaune were used until the 1960s. Then it became a museum.&nbsp; Geometrically, there are many interesting things. First the courtyard has a rectangle shape. The varnished and colored Burgundy tiles on the roofs make geometric patterns. These tiles are the symbol of former buildings in Burgundy (like the cloister’s roof of the military high school). The Great Hall called “la grande salle des&nbsp;pôvres”&nbsp;in French is a large room: 50 m long, 14 m wide and 16 high. We can easily calculate the volume of the room. The volume is equal to the area of the room times the height.&nbsp; So, V = 50*14*16 = 11200 m².

The boys' dormitory is divided into many 4-student-bedrooms, and there are also showers and toilets for each floor.&nbsp; The dormitory roof was built at the adequate level so that it looks like a garden from the&nbsp;parade ground.

The community center is used to host shows but also as a polling station. It’s the place where donors go to give their blood and now, due to the situation, it has become a vaccination center. The formula used to calculate the area of a regular hexagon is A= 3√3s²/2&nbsp;&nbsp;&nbsp;&nbsp; A= (3√3x20²)/2 A= 1039 m² Besides, the roof forms 6 irregular pyramids.

The “passage couvert” is an alley built in the 19th century and it links the “Champs de Mars” to a shop alley. Its length is 45.1 m and its width is 12,5 m. So the area of this passage is 45.1 x 12.5 = 563.75 m².

"JOSÉ RAMÍREZ CERDÁ" PARK

The José Ramírez Cerdá park, located on the old Muelle de la Cebolla, is the first major public work carried out by Arrecife to build the first municipal park in the area. It was built between 1953 and 1960, since then it has been the main green, leisure and recreational area of the island capital.

Perimeter: 0.567 kilometers Area: 8694.7 m²

8 pergolas with parallel bar structures decorate the park in search of shadows

Each pergola consists of three parallel columns which support eight beams that cast shadow over the benches. Benches consist of a wide rectangular bar and three thin vertical rectangles.

The Colosseum is located in Chalon sur Saone. It's a sports center for competitions. It was created in 2001. It is 18 m high and its diameter is 77 m. Its volume is therefore 3100 m³.

The cloister is squared shape. Its dimensions are 39.2 m by 41.8 m.

The patterns on the roof: a G and an S meaning "Grand Séminaire".

The LMA cloister was built in the 17th century; it used to be a Grand Séminaire, where young men studied to become clerics. Then, during the French revolution, it became a hospital and, after that, it was turned into a jail. In 1885, it became a cavalry school, for young men who wanted to be soldiers. The military school as we know it was created in 1971, and the first girls were allowed to study here in 1984. Now, girls sleep in this building.

Present the city of each of the participating countries from a mathematical and interdisciplinary point of view. Strolling through the city where they live, trying to discover geometric figures, numerical curiosities, street names with mathematical content, knowing and linking their sustainable projects also with mathematics. Students can rediscover the streets in which they live under another look, with another perspective, locate their position or calculate the height of emblematic buildings using mathematical strategies. Students will be able to acquire or develop their linguistic and communication skills thanks to a different approach of mathematics.

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AXIAL SYMMETRY IN THE BALL BRIDGE

Symmetry provides order and meaning, which makes us intuitively perceive beauty in regular and symmetrical things. We can observe the symmetry in many elements of our environment, and in all kinds of architectural works, as well as in the ornaments and forms that plants, animals and insects present. The photograph shows an example of axial symmetry; the bridge of the balls that is reflected in the sea that surrounds it, a day when the water is calm. Picture of April 27, 2021

As the crow flies, the Odeillo solar oven is at 530 km from Autun.&nbsp; The solar oven is a heating system based on the capture of light rays emitted by the sun. After the capture of the light, the rays are concentrated on one point and these rays heat the object, put on this one point. The industrial-sized solar oven was built in 6 years in Odeillo and became the largest solar oven in the world. It was commissioned in 1969. It is made up of 9130 small mirrors with a total surface area of 1830m².&nbsp;

The Versailles castle was built in 1631 by Louis XIII. Kings of France lived there from 1631 to 1789. Now, it can be visited by everyone. Versailles is 300 kilometres away from Autun.&nbsp;

Area: 830 ha (830 Dam²) Number of fountains: 55 Quantity of water needed during the show “les grandes Eaux” : 3600m³

The symmetry of the garden, and all of the geometric shapes (circles, rectangles…)

FORMER TOURISM PARADOR, NOW THE UNED BUILDING

The Parador Nacional de turismo was designed by the Tenerife architect Enrique Marrero Regalado. It was inaugurated in 1950. It had 14 rooms and 28 beds. In 1956 it was extended to 24 rooms with 60 beds. It closed in 1970. It was later used as the headquarters of the Red Cross. Nowadays it is used for the UNED, library and associations

Here we find the sculpture of Blas Cabrera Felipe, a physicist. (Arrecife, 20 May 1878 - Mexico City, 1 August 1945) who was director of the Laboratorio de Investigaciones Físicas between 1910 and 1937, and rector of the Universidad Central de Madrid in 1931

Since 1990, the center has been a private public interest foundation. However, its weight in the State is impressive. In fact, UNED is the largest university in Spain, with more than 250,000 students taking its official degrees (27 degrees, 65 university master's degrees, 18 doctoral programs) or its more than 600 permanent training courses

SAN JOSE´S CASTLE - MIAC

The museum, located in the old military fortress of Castillo de San José, is in the island's capital, Arrecife, in the Puerto Naos area. Built between 1776 and 1779 by order of King Carlos III in order to alleviate the difficult situation the island was experiencing, it was popularly known as "The fortress of hunger" and later used as a strategic point for the defense of the island

Roof Perimeter : 90’83 m Roof Area: 515’63 m²

French places Starting from Autun, from the nearest to the furthest

LMA Cloister The LMA fountain Parade ground LMA chapel B72 Boys' dormitories&nbsp; LMA Junior school Bonaparte High school The Kiosk Champs de Mars&nbsp; The passage couvert The jail Autun Cathedral The Ursuline Tower Promenade des Marbres The Roman theater&nbsp; The lake&nbsp; Saint Andrew's door The Arroux's door St Roch stadium Community center - The Hexagone The ramparts The Couhard pyramid Janus's Temple The Liberation Cross&nbsp; The Télots Bibracte’s vestige Bibracte’s fountain's remains The Castle of Sully Buddhist temple Le Creusot Museum The steam hammer of Le Creusot Statue of Nicéphore Niépce The Colosseum&nbsp;&nbsp; Beaune Hôtel-Dieu&nbsp; The Abbey of Cluny The castle of Guédelon Confluences Museum The gardens of Versailles The Géode Luxor Obelisk&nbsp; Odeillo solar oven

Perimeter: 1.4901 kilometres&nbsp; Area: 67,109.2 m²

The beautiful Charco de San Ginés is a natural saltwater lagoon immersed in the heart of the Lanzarote capital, Arrecife, and surrounded by the beautiful white houses of the fishermen. Its origin goes back 6 centuries. It is important to note that in the year 1400 the capital of Lanzarote was Teguise. The growing importance of the pond, as well as the more pleasant climate and the better road connections, made Arrecife in the 19th century the most important city of the island.&nbsp;&nbsp;

This place is the one of the most prestigious in Autun.&nbsp; Its surface area is 13,939 m².&nbsp; We came to this conclusion because this place is located next to Bonaparte high school, which we measured previously. Thus, we found a scale and measured the different parts (with the actual size). So, 1cm in the picture is 19,5 meters in reality.

St Roch Stadium is a stadium for Autun citizens. They can run around it, or play football and rugby. It is used by some students of the school for rugby competitions. The shape is a rectangle and 2 half circles. To find its perimeter, we have to add the 2 lenghts of the rectangle and the perimeter of the circle.

Arrecife de Lanzarote (Island Canary - Spain)

Arrecife is the capital of Lanzarote&nbsp;since the second half of the 19th century becoming&nbsp;the administrative and commercial centre of the island. It has always had a maritime atmosphere, a historical role as a strategic defense place and a city aimed at developing trade and commercial relations. Lanzarote is located in the Atlantic Ocean, about 100 km west of Morocco, about 1000 km southwest of the Iberian Peninsula and northeast of the Canary Islands, forming part of the Province of Las Palmas. 28º57´56´´N 13º31´58´´W

Interesting facts :&nbsp; It is said that Sully owes its origins to the Roman General Sillius who would have built a villa here at Caesar era after having pursued and killed Sacrovir, one of the last Gallic&nbsp;chiefs to resist the Roman occupation.

The Castle of Sully has an approximate surface area of 3000m²&nbsp;over 25 hectares. It was built in 1610 and is located 16.3 km away from Autun. The Castle of Sully also has a squared shape and had been classified as a historical monument since 1995.

Lanzarote the island of the wind!

The Theme Park is located in the south of Arrecife. It is surrounded by a promenade of approximately 1,000 meters and covers an area of 37,800 square meters. Its interior is neat in geometric shapes, forming gardens and recreation areas.

The exact coordinates of the tower are 46.94 N, 4.30 E. The coordinates of Lanzarote are 28.96N, 13.55O. To find the distance between two points on Earth, we have this formula (it is more precise than a map because it takes the Earth curvature into account):&nbsp; d= arccos (sin ϕA sin ϕB + cos ϕA cos ϕB cos dλ)*R*(π*180) d= arccos (sin 46.94* sin 28.96+ cos 46.94 *cos 28.96* cos (13.55-4.30)*(π/180) *6570=2525.8 km The distance between the tower and Arrecife is 2525.8 km.

CIC "EL ALMACÉN" (THE WAREHOUSE)

Between 1933 and 1970 the building was the headquartres of the Schoolof Arts and Crafts of Arrecife, The lanzarote artist César Manrique bought the building and remodelled it, converting it into a place where contemporary culture in its many facets can be developed.

Inside this centre you can see various geometrical figures, such as rectangles, triangles, squares, etc.

The perimeter of the establishment is 93.27 meters. It has an area of 500.68 m². The image on the right is a plan of the building.

The pond or in French the "plan d'eau du Vallon" is a touristic place of Autun. We often see sportmen running around the lake, but also people fishing and there is also a kayak club and a pedal boat club. A few swans can also be seen from time to time. We can see the lake from the military high school.

French team Ange-Aurélie TIMBA Claire SCION Clémence FILC Clément GOUSSAULT Doriane GULLON-NEYRIN Eléa MEYER Evan GUILLOUX Hugo BERNARD Hugo PALUMBO Iban MEYER Léo NOUHOUANG Lilian HUMBERT Loris MASSONNAUD Lucas HUMBERT Ludivine MARCHÉ Maud GARCIA Pauline FRELET Sanaa AJOUID Séphora ADJOUMANI Théophile DEWULF Xavier BAILLY Teachers Clémence Mirabel Céline Gauthé

Spanish team Ariana ALARCÓN&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Aissatou BAH&nbsp;&nbsp; Angélica MORALES&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Álvaro ROLDÁN&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Daniel TABORDA&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Daniela TEJERA&nbsp; Estefanía BETANCUR&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Estefanía GARCÍA Gara HERNÁNDEZ Isabel MALDONADO Kevin ARIAS Melanie ACONDA Michel RODRíGUEZ Rihab BOURHIL Ruddy RUÍZ Sofía ROLDÁN Víctor SEGURA Teachers Nélida Hernández Martín Elba García Luzardo

The ramparts of Autun were founded in 14 AD during the reign of Emperor Augustus It was used to defend the city against barbarian attacks and the Gauls during the conquest. The rampart is equal to 6 kilometres long. The walls have a homogeneous thickness of about 2.50 meters which allowed them to play the role of retaining walls. There are 30 towers in a cylindrical shape, but the original number of towers is estimated to 57.

it's&nbsp;not&nbsp;on&nbsp;the&nbsp;scale

The Géode is a movie theatre located in Paris, more precisely near “la porte de la Villette” in the East of Paris. It is next to the “Cité des sciences et de l’industrie” (a center that hosts a lot of events about science, for kids and adults). It opened to the public in 1988 and it is used for science movies and documentaries. In&nbsp;December 2018, it closed for renovations. The date of reopening has not been announced yet.

We have a=15.5 m and b=18m&nbsp; The building is an ellipsoid, so we have V=4/3 * a * b² * pi V= 4/3 * 15.5 * 18 *pi V=372 m³ * pi V=1169 m³

CORNER OF "ARRECIFE" - The alley "el aguaresío"

Simple parallelograms decorate this corner. We see: planters, windows, ...

Popular architecture can be found in these narrow streets. Simple geometry created by fishermen

The Télots have a cone-shaped form. We can calculate the volume of each cone with the formula: V = pi * r^2 * h/3 (with r the radius and h the height of the cone). The Télots are the remains of former mines. Indeed, from the end of the 30s to the end of the 50s, Autun was the most important place in France where oil shale (also called bituminous shale) was extracted to create energy. It was a strategic place for Germans during the Occupation. In 1957, the site closed and was destroyed. The ruins of the factory and the two hills are the only things which remind us of this period. Both hills are composed of bituminous shale wastes. Today, nature took back its rights: bushes and plants are growing on the Télots.

The military school of Autun is the only military middle school in France. It is made up of H- shaped buildings. Each H is geometrically aligned with the others and is composed of 3 rectangles (two vertical and one horizontal). These buildings are used as dormitories (because it is a boarding school), or as classrooms. Before being a dormitory for students, the military junior school of Autun, also called Changarnier district, were military barracks whose regiment was named 29th&nbsp;de Ligne. The junior school was already used as a dormitory. Only the classrooms were refurbished.&nbsp;

It was built in the 1st century&nbsp;AD so it is rather deteriorated given its seniority. It was almost like a cube, given its dimensions : 16.8x16.3 meters.&nbsp; Its height was a record for the time of its construction. It was 24&nbsp;metres high.

We can calculate the volume that it could contain with the formula of the volume of the rectangular prism which is: VOLUME = HEIGHT x LENGTH x WIDTH So, V= 24 x 16.8 x16.3 = 6572.16 m³. This number is pretty impressive because when we look at the&nbsp;monument we can not imagine its past size.&nbsp; Our friends from Lanzarote may, one day, come to Autun and visit our beautiful monument. The distance between Lanzarote and&nbsp;the Temple of Janus is 2934 km.&nbsp;

MONUMENT TO THE MARTYRS OF THE SEA

In memory of the victims of the terrorist attack suffered forty years ago by the sailors of the Lanzarote fishing boat Cruz Del Mar, the Cabildo of Lanzarote and the municipalities of the island participated in a commemorative act at the monument "The cross that guides us" in honor of the sailors killed while fishing in the waters of the Canary-Saharan bank. 

This monument is 7.5 meters high by 4 meters deep and wide and is made of stone and bronze.

LA CUEVA DE LOS VERDES (CAVE OF THE GREENS)

Formed as a result of the eruptive activity of the Corona Volcano. Used as a hideout for the population against the attacks and invasions of pirates from North Africa during the 16th and 17th centuries, in the 19th century it became a must for European travelers, scholars and scientists fascinated by this unique volcanic formation.

The network of galleries and caves in the Cueva de los Verdes, whose height reaches 50 meters high and 15 meters wide at some points. Located in the natural area known as the Natural Monument of La Corona, the Cueva de los Verdes is part of the volcanic tube of La Corona, seven kilometers long, which joins the crater of the volcano with the sea. The last section of the tube, one and a half kilometers long, is completely flooded and is called the Tunnel of Atlantis. The first existing testimonies about the Cueva de los Verdes are found in the writings of the engineer Leonardo Torrani in 1590.

Perimeter:&nbsp;422.7 m Area:&nbsp;12,435.5 square meters

Its imposing cover bursts as a novelty in the town. It maintains a neo-Canarian style.

Roof perimeter: 90.1 m Ceiling area: 467.1 m²

The Abbey of Cluny was built during the ninth century, it became the center of monastic renewal in Europe. It remained the largest religious building in the West for 3 centuries with a length of 187 meters.&nbsp; Thanks to numerous donations and the support of the Pope, the Abbey of Cluny controlled 1,200 churches and more than 10,000 monks.

The abbey was built with several types of vaults, like ribbed crossing or Roman vaults. The Roman vaults are perfect semicircles which stand on two walls, one on each side. The vaults on ribbed crossing are two large arcs which intersect in their middles. The vaults stand on four pillars. It was 187 meters long and 25 meters wide, the height of the vaults was more than 30 meters. Today, there are less than 10 percent of the abbey.

The Roman Theater was built in the XVIIth century. It has a semicircle geometric form and has an area of about 6&nbsp;500 m². The diameter of the theater is about 130 m and it can welcome 20&nbsp;000 spectators. It was built circle because an asset of a circle is that all spectators are at an equal distance from the stage !

Coordenada: 28 ° 57′34.52 ″ N, 13 ° 32′50.26 ″ W

We find a Latin cross formed by two segments intersecting at right angles (90º), where the smaller segment has a proportion of three-quarters of the longer one.

The kiosk of Autun is a little place where people can meet and take photos. In spring and summer you can see groups of musicians playing music (the saxophone, the piano, the violin, the viola and many other instruments).

On our picture 1.6 cm is equal to 5 m in real life, so r = 1.7cm goes to 5.31m. Let's consider that the kiosk roof has the shape of an octagon. The formula of the octagon perimeter is 0.765r x 8. P = 0.765 x 5.31 x 8 = 32.5 m The formula of the area is 2r x 2 x 2√2 A = 2 x 5.31 x 2√2 = 30.03 m²

The church has a special lantern that is part of the capital's emblematic building, declared an Asset of Cultural Interest. It weighs 900 kilograms.&nbsp;

It has its origin in the first hermitage of the locality, erected in 1574 where an image of San Pedro Apostle and a painting of San Ginés de Clermont were venerated, which according to popular legend appeared floating in the Charca de San Ginés. In 1798 it became a parish church. It was built with a combination of black volcanic stone and wrought iron walls. It is a church with 3 naves. The tower of the Iglesia de San Ginés has an impressive quadrangular tower erected in 1842 with a brilliant white dome that overlooks the plaza and the old town.

The tower is bordered by volcanic rock. We have counted the amount in order to estimate the height: (25+23+16)x30=28.2 meters high

Perimetre roof: 103,02 m Area roof: 1047. 35 m²

Arrecife Gran Hotel The highest hotel in Arrecife, with 54 meters.

The Reducto beach is the best in Arrecife. Urban beach of fine white sand, its bay almost closed, about 500 m long by 45 m. medium width, provides calm waters. Length: 500 m Width: 45 m

Surrounded by the largest cactus plantation of the island, dedicated to crops of cochineal insect, a product of great financial relevance in Lanzarote in the 19th Century. Jardín de Cactus has around 4,500 specimens of 450 different species, of 13 different families of cactus from the five continents.

THE CASTLE OF SAN GABRIEL

San Gabriel’s Castle, together with San Jose’s Castle, were the two maritime for- tresses that protected Arrecife from the attacks of African pirates between the 17th and 18th centuries. Today, it houses the Museum of History of Arrecife and Lanzarote. Throughout its rooms you can travel through the history of the island from its volcanic birth, the first human settlements, the arrival of the Spaniards and how the island was transformed after the eruptions of 1700 in Timanfaya.

The Muelle de "La Cebolla" or small dock was inaugurated on June 29, 1792 (located in the current Ramírez Cerdá park), and served as the base for Arrecife's maritime trade until well into the 20th century

This cannon fired 16 pound iron balls. In current terms it is equivalent to 133 millimeters.

If we look closely, we can see many blocks that form golden rectangles. It is so named because its sides are on the golden ratio. By applying the Pythagoras Theorem, it is shown that the length divided by width is 1,618...

The Paldenshangpa is a bouddhist temple. Its surface is equal to 47x77 = 3619m² and the area of the temple's base is: 30x25=750m². The base is composed of a cuboïd and the temple has four roofs. As the crow flies, the Buddhist temple is located 24.89km (15,47 miles) from Autun, and 33.1km (20,50 miles) by car.

THE MUSIC CONSERVATORY &amp; LIBRARY

In 1992, the Cabildo de Lanzarote promoted the creation of a musical teaching center that would allow the island population access to learning this artistic discipline. CIEM, Lanzarote Insular Center for Musical Education.

Simple geometric figures stand out

The services are public and are based on equal access for all people, regardless of age, race, sex, religion, nationality, language or social status. (UNESCO Manifesto on the Public Library, 1994)

CESAR MANRIQUE'S WIND TOYS

The “promenade des marbres” has a length of approximately 367 meters and a width of 58 meters. It’s based in front of our military school, in Autun. There are three rows of paths bordered with 4 rows of trees.

Today there is a statue of a taurus at one end of the path, built on a circular platform whose diameter is 6.46 meters. That corresponds to a perimeter of 20.3 meters, and so an area of 32.7 square meters. 

THE MARINAS&nbsp;and ISLOTE DEL FRANCÉS

Any cruise ship with a length greater than 260 meters can dock at the dock.

Las Marinas has some 443 moorings, of which 65 percent will be for boats between 6 and 10 metres (the most common on the island), 26.1 percent will be for boats between 12 and 18 metres, 8 percent for those between 20 and 30 metres in length and finally 1 percent for boats over 60 metres. Apart from the moorings themselves, the new marina is equipped with a large dry marina and a modern dry dock with more than 14,000 square metres of usable surface area and a 720-tonne travel lift.

Le Creusot is a city in Saone-et-Loire which is located about twenty kilometers from Autun. Today there is a museum, but it was before the crystal factory of Queen Marie-Antoinette. It was built in 1786. The ovens were used for the melting of the glass to make crystals. The famous Schneider family (known for the Schneider factories in Le Creusot) lived there in the 19th&nbsp;century. Then it became a castle: «&nbsp;le Château de la Verrerie&nbsp;» at the beginning of the 20th&nbsp;century. Geometrically, the museum has a U-shape and both cones are old steel ovens. We can calculate their volume with the formula V = pi*r^2*1/3 (r is the radius of the ovens). We can notice that the buildings are built around an axial symmetry.

Perimeter roof: 166.3 m Area roof : 1,673.7 m²

They have two octagon-shaped towers with a wooden cylinder and stained glass.

The rectangular door and windows are finished in semicircular arches, that is to say, in the soffit it has the shape of a semicircle.

Bibracte's house was made in 80 BC and is a rectangle. The surface area is about 250 m² with an estimated height of 2 m 10. It was built for 6 persons.

Why a rectangle&nbsp;? because it’s easy to build (in those days there was no crane !).

Cool thing to know : Bibracte was the capital of the Celtic people of the Aedui, developed especially in the 1st century bc J-C

Bonaparte high school was built in the 18th century. We know that its first stone was laid on June 17, 1709.&nbsp; There are about 730 students aged between 14 and 18, preparing their A-levels.&nbsp; Some older pupils, between 19 and 22, are also studying here to learn different jobs like woodworking or upholstery or even arrangement. The area of Bonaparte high school is 2137 square meters (m²). The different parts of Bonaparte high school are composed of rectangular pieces.

La Geria natural park includes lands in the municipalities of Yaiza, Tías, Tinajo, San Bartolomé and Teguise, with an area of 5255 hectares. It includes several small towns: Masdache, Vega de Tegoyo, La Asomada, Conil, Mozaga, La Geria and El Islote-Casa de la Florida. It is bordered to the west by the Los Volcanes Natural Park, which surrounds the Timanfaya National Park.

The vines are protected from the wind with semicircular volcanic stone walls

It is a conical hole dug in natural layers of volcanic gravel several meters deep, in the center of which a vine is planted, and on the edge of which a semicircular of rocks is placed as protection against the wind.

Spanish places Starting from Lanzarote, from the nearest to the furthest

Maretas of Arrecife Civic centre of Arrecife The city hall of Lanzarote Arrecife thematic park Beach "El Reducto" The Islet of the Fermina Grand Hotel Canary Islands park Former tourism Parador, now the Uned Building "José ramírez Cerdá" park Music kiosk "Agustín de la Hoz" House of Culture Bridge of the Balls Castle "San Gabriel" Arrecife´s town hall "San Ginés" Church Las Palmas Square San Ginés Puddle Monument to Music Martyrs' Sea Port "Naos" San José´s Castle Dock of the Marbles Sports complex Municipal Library Music Conservatoire "El Salinero" Theatre "Jameos del agua" The fire Mountain Cave of the Greens The Mirador del Río The Janubio Salt Flats Puddle of the Clicos "César Manrique" Foundation "Cactus" Garden Toys of the wind "La Geria"

This building was built in the 90’s. It’s a glass building where students have class. It’s formed by two rectangular triangles (as it’s shown beside).

The roof has a triangular shape (especially 2 rectangular triangles).

The distance between the center of the Earth and the center of the Moon is 384 400km.&nbsp; The altitude of the Chapel is 310m (the Earth’s radius is 6570km) and the radius of the Moon is 1737km. Therefore, the distance between the surface of the Moon and the LMA’s Chapel is&nbsp; d = 384400 - 6570 + 1733 = 375983 km. So, when the center of the Earth, the Chapel and the moon are aligned, you need to travel exactly 375983 km to reach the moon!

Autun is a French city located in the department of Bourgogne-Franche-Comté. It was a very important city under Emperor Augustus during the Roman period. A few famous people come from this place, for instant Talleyrand who was Autun’s bishop in 1788. Napoleon also came to Autun, when he was young : he was sent in a Jesuit school. The school still exists but today, it is a high school, named after the emperor. Autun suffered from World War II, but allies’ troops who landed in Provence a month before freed the city on September 9th, 1944. It attracts many tourists from abroad who come to enjoy the beautiful landscapes that the city offers. Autun is also the city where the only military junior school of France is located and where our wonderful high school is : the military high school of Autun.&nbsp; Every corner of Autun is full of historical elements. From the high school to the cathedral, from the ramparts to the stone of Couhard, Autun is not done impressing you.&nbsp;

This structure is the twin, in a way, of the previous one.&nbsp; Both were made at the same period for the same uses. Here, the 2 main doors are 4.09 meters wide, and the 2 small doors are 1.94 meters wide. In this case, the height is about 14.60 m, which is 1.40 meters less than the Arroux’s Door. There are also 10 little bridges, none is missing.

The Autun seminary was created in 1679 as well as the fountain. This later is 0.90m high and has a diameter of 32m. Its volume is 700 m³.

EL MIRADOR DEL RÍO - RIVER VIEWPOINT