The golden number

The Golden Number is represented by the greek letter phi.

Many of the proportions of the Parthenon are alleged to exhibit the golden ratio.The Parthenon's facade as well as elements of its facade and elsewhere are said by some to be circumscribed by golden rectangles. Greek mathematician merely regarded that number as an interesting irrational number, in connection with the middle and extreme ratios. Its occurrence in regular pentagons and decagons was duly observed, as well as in the dodecahedron (a regular polyhedron whose twelve faces are regular pentagons).

In nature the golden ratio expressed in the arrangement of branches along the stems of plants and of veins in leaves. He extended his research to the skeletons of animals and the branchings of their veins and nerves, to the proportions of chemical compounds and the geometry of crystals.

Carlos Sanmartin and Miguel Angel Sastre 3ºB

There are two theories about we can organize the different colour:

1. Physicists explain colour as a function of light. This is the Additive model. White light was first proven to contain all of the colours by the physicist Sir Isaac. The light primaries are different from the pigment primaries. The secondaries colours are red, green and purple. The primaries colours are magenta, cyan and yellow.

2. When you want to pain with pigments, you use the subtractive model, in other words, the CMYK model, CYAN,MAGENTA, YELLOW and BLACK, the colour that results of mixing all of them.

CYAN + YELLOW = GREEN

YELLOW + MAGENTA = RED

MAGENTA + CYAN = PURPLE

MORE CYAN + MAGENTA = INDIGO

MORE MAGENTA + CYAN = MAUVE

YELLOW + MAGENTA + CYAN = BLACK

Carlos San martin Valdes and Miguel Angel Sastre

The differents colours

There are two theories about we can organize the different colour:

1. Physicists explain colour as a function of light. This is the Additive model. White light was first proven to contain all of the colours by the physicist Sir Isaac. The light primaries are different from the pigment primaries. The secondaries colours are red, green and purple. The primaries colours are magenta, cyan and yellow.

2. When you want to pain with pigments, you use the subtractive model, in other words, the CMYK model, CYAN, MAGENTA, YELLOW and BLACK, the colour that results of mixing all of them.

CYAN + YELLOW = GREEN

YELLOW + MAGENTA = RED

MAGENTA + CYAN = PURPLE

MORE CYAN + MAGENTA = INDIGO

MORE MAGENTA + CYAN = MAUVE

YELLOW + MAGENTA + CYAN = BLACK

Primary and Additive colours.

■Primary colors are sets of colors that can be combined to make a useful range of colors. For human applications, three primary colors are usually used, since human colour vision is trichromatic. There are cyan , yellow and magenta:

    ■Additive colour describes the situation where colour is created by mixing the visible light emitted from differently colored light sources. This is in contrast to subtractive colour where light is removed from various part of the visible spectrum to create colours. 

The golden Number.

-The golden number is represented by the Greedl letterφ or Φ, is an irrational number: 2

-In mathematics and  arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The figure on the right illustrates the geometric relationship. Expressed algebraically:

-The golden ratio has been used since Egyptian times for the construction of buildings, though, are the Greeks use: who exploited it to maximum use in all facets of art. Here are some examples of this:

+The first known use of the golden ratio appears in building the pyramid of Cheops, dating from 2600 BC.

+An example of a golden rectangle in art is the elevation of the Greek Parthenon.

-The golden ratio arises from the division into two of a segmentstoring the following proportions: total length a + b is the longestsegm.ento is accommodative to the shorter segment b.

The Golden Number

The Golden Number is represented by the greek letter phi.

Many of the proportions of the Parthenon are alleged to exhibit the golden ratio.The Parthenon's facade as well as elements of its facade and elsewhere are said by some to be circumscribed by golden rectangles. Greek mathematician merely regarded that number as an interesting irrational number, in connection with the middle and extreme ratios. Its occurrence in regular pentagons and decagons was duly observed, as well as in the dodecahedron (a regular polyhedron whose twelve faces are regular pentagons).

In nature the golden ratio expressed in the arrangement of branches along the stems of plants and of veins in leaves. He extended his research to the skeletons of animals and the branchings of their veins and nerves, to the proportions of chemical compounds and the geometry of crystals.

Carlos Sanmartin and Miguel Angel Sastre 3ºB

NUMERO AUREO

El numero áureo o de oro ,representado habitualmente con la letra griega , aparece en la naturaleza y en el arte y el diseño. Los objetos cuyas medidas guardan la proporción áurea, son agradables y vistosos esteticamente

El numero de oro viene de:

la division de dos segmentos, por ejemplo a:b, siempre que la relacion entre el segmento"a+b" y "a" sea igual que la relacion entre "a" y "b".

EN LA NATURALEZA

Se halla en:

• La disposicion de los petalos de las flores
• La relación entre el grosor de las ramas principales y el tronco
• La cantidad de petalos de las flores
• Y otros muychos mas casos

EN EL ARTE

Se halla en:

• Relaciones en la forma de la Gran Piramide de Gizeh
• La relación entre las partes, el techo y las columnas del Partenon de Atenas.
• Las relaciones entre articulaciones en el hombre de Vitrubio (hombre perfecto) y en otras obras de Leonardo Da vinci.
• Y otros muchos mas casos

Colorful Paintings

 

 

The color

Primary colors are sets of colors that can be combined to make a useful range of colors. 
The primary colors are Cyan, Magenta and Yellow. The combination of any two primary colors creates a secondary color.

The most commonly used additive color primaries are the secondary color of the most commonly used subtractive color primaries, and vice versa.

Mixing yellow and cyan produces green colors; mixing yellow with magenta produces reds, and mixing magenta with cyan produces blues. In theory, mixing equal amounts of all three pigments should produce grey, resulting in black when all three are applied in sufficient density, but in practice they tend to produce muddy brown colors. For this reason, and to save ink and decrease drying times, a fourth pigment, black, is often used in addition to cyan, magenta, and yellow. 

 

 

Using red, yellow, and blue as primaries yields a relatively small gamut, in which, among other problems, colorful greens, cyans, and magentas are impossible to mix, because red, yellow, and blue are not well-spaced around a perceptually uniform color wheel. For this reason, modern three- or four-color printing processes, as well as color photography, use cyan, yellow, and magenta as primaries instead. Most painters include colors in their palettes which cannot be mixed from yellow, red, and blue paints. Some who do use a three-color palette opt for the more evenly spaced cyan, yellow, and magenta used by printers, and others paint with 6 or more colors to widen their gamuts. The cyan, magenta, and yellow used in printing are sometimes known as "process blue," "process red," and "process yellow."

 

Black is the color of objects that do not emit or reflect light in any part of the visible spectrum; they absorb all such frequencies of light. Although black is sometimes described as an "achromatic", or hueless, color, in practice it can be considered a color, as in expressions like "black cat" or "black paint". 

 

White is a color, the perception of which is evoked by light that stimulates all three types of color sensitive cone cells in the human eye in nearly equal amounts and with high brightness compared to the surroundings. A white visual stimulation will be void of hue and grayness.

 

Self-Portrait

Self-Portrait

It has very dark colours, therefore the face draws attention because is the unic area clear.

He's wearing suit corresponding to the time.

Velazquez was a very famous spanish painter in the XVII century.

DEGRADADOS

somos grado

The golden number

All kinds of artists have used the golden ratio in art throughout the ages. One artist who, I think was influenced by the golden ratio and probably decided to use this concept in much of his art, was Leonardo Da Vinci. Da Vinci's talent as an artist may well have been outweighed by his talents as a mathematician. He incorporated geometry into many of his paintings, with the golden ratio being just one of his many mathematical tools.



Ángela Pérez Camblor

GEORGE CLOONEY

George born May 6 1961 is an American actor ,film director , producer , and screenmriter.
Clooney is also noted for his political activism and has served as one of the United Nations Messengers of Peace since January 31,2008.

He made his acting debut on  television in 1978  Clooney gained fame and recognition by portraying Dr.Douglas "Doug".

Clooney's humanitarian work includes his advocacy of finding a resolution for the Darfur conflict, raising funds for the 2010 Haiti earthquake,  and creating documentaries such as Sand and Sorrow to raise awareness about international crises .

He is also a membre of the Council on Foreign Relations.
Clooney was married to actress Talia Balsam from 1989 until they divorced in1993 .He has said that he will never marry again.

Clooney is one of to have been given the title of "Sexiest Man Alive"twice by People Magazine ; firts in1997 and again in 2006, Clooney was named one of Time magazine,s 100 Most People in the World in 2007,2008 and 2009.On Septembre 21 , 2007 , Clooney and then -girlfriend Sarah Larson were injured in a motorcycle accident in Weehawken , New Jersey.

He is a normal man, he had a pet, Max, was a pig. Max  died  of naturals causes and he also owned two bulldogs. Boths dogs have died.
Clooney's main home is in Los Angeles. His villa in Italy is in the village of  Laglio, on Lake Como.
He is a famous actor and an  attractive man. He works in TV in Spain, he is very famous with the coffee. He wins a lot of money.

Portrait of My Dead Brother.

Salvador Domingo Felipe Jacinto Dalí i Domènech was born on May 11, 1904  in the town of Figures, in the Empordá region close to the French border in Catalonia, Spain. Dalí's older brother, also named Salvador (born October 12, 1901), had died of gastroenteritis nine months earlier, on August 1, 1903. After birth, the painter was named after his dead brother (similarly to Van Gogh).

Of his brother, Dalí said,... "(we) resembled each other like two drops of water, but we had different reflections."

In  Portrait of My Dead Brother, Dalí emulates the dot pattern seen in half-tone newspaper photographs. The face of the boy is created by a dot matrix, a technique that was widely used in the  Pop Art period of the Sixties. 

Beneath the boy is a miniature depiction of Millet´s The Angelus. Dalí believed that trough an X-ray of The Angelus, it would be proved that the basket over with the couple are praying was initially the coffin for  a child. Salvador Dalí was fascinated by this work, and wrote and analysis for it. The Tragic Myth of The Angelus of Millet.

M. C. Escher

Maurist Cornelis Escher was a artist very famous. He was from Holland, and he was born in 1898. He did many woodcuts, lithographs, paintings with brilliant images... He could paint many visual effects like depth or volume, and he do imaginary worlds with many optical ilusions and imposible objects. He was like the simetry, and he was an special artist because he didn't have an specific theme to reproduce in his works.
I think Escher was amazing, because he used difficult techniques and mathematics in his works.
I put here some images, but I recommend you to visist this page.

INTERNATIONAL INTERSHIP

La profesora y administradora de este blog declara no tener relación económica o contractual con esta organización.
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INFORMACION IMPORTANTE PARA LAS FAMILIAS

Les agradecemos mucho el abrir su hogar y su corazón a un joven de los Estados Unidos. Esperamos que esta experiencia sea tan enriquecedora y entretenida para usted como estamos seguros será para su joven huésped. 

Nivel del lenguaje y comunicación: La mayoría han estudiado español por 2 o 3 años únicamente.  Su acento y parte de su vocabulario serán nuevos para ellos, y se sorprenderán de lo rápido que habla. Así como cada familia es diferente, cada estudiante lo es también, y ninguna cantidad de preparación puede cubrir toda situación.  Algunos serán extrovertidos, algunos serán más corteses, algunos más abiertos, otros menos aventureros.  La experiencia será una aventura de aprendizaje cuando todos pongan de su parte para entender las diferencias y disfrutar lo que descubren!

El Colegio:  Si su estudiante se encuentra con usted mientras está en la escuela, será muy interesante para él o ella acompañarlo. 

Seguros medicos:  Si su estudiante se enferma o se ve envuelto en un accidente, por favor haga exactamente lo que haría por su propio hijo.  Los participantes en el programa están cubiertos por un seguro médico muy completo.  Si necesitan un tratamiento médico menor, deben pagar el costo de la visita médica allí mismo y necesitan un recibo por el monto pagado. Mandarán ese recibo a la nosotros para que se les devuelva el dinero.  Por favor contacte al coordinador o su profesor de inmediato.

El consumo de alcohol/tobaco/las drogas está estrictamente prohibida. Como participantes del programa de Language and Friendship, todos los estudiantes han firmado un acuerdo en el que se expresa que no consumirán bebidas con contenido alcohólico, ni fumar, ni tomar drogas/marijuan.  También está estrictamente regulado en los Estados Unidos. Para los estudiantes de colegio, las consecuencias son severas, Para sus profesores tambien, se pueden prohibir este tipo de viaje si los alumnos no siguen las reglas Es responsabilidad del estudiante rechazar cortésmente el ofrecimiento. Por favor no les ofrezca alcohol. ¡Gracias!

Manejar cualquier tipo de vehículo motorizado o montar en moto como pasajero está estrictamente prohibido, para seguridad de los estudiantes y por motivos del seguro.

Teléfono/internet:   Recomendamos que los estudiantes no se ponen en contacto a sus padres y amigos en casa. El contacto frecuente aumenta la posibilidad de nostalgia y frenan la integración con su familia anfitriona.  Hay poco tiempo y mucho para descubrir. 

Dinero para gastar:  Los estudiantes traen consigo dinero para gastos normales como ir al cine, helados y souvenirs o regalos que quieran llevar de vuelta.  Siéntase en confianza de explicarle al estudiante qué espera que pague por sí mismo.

SOPORTE Y AYUDA

                       

Todos en Language & Friendship, así como los profesores de idiomas, queremos que cada estudiante y cada familia tengan una experiencia maravillosa. Si llegara a sentirse incómodo con el progreso de su estudiante al integrarse con su familia, le pedimos que converse sobre su preocupación abierta y directamente con el estudiante.  Si necesita sugerencias o consejo, por favor siéntase en confianza de contactar al coordinador o al profesor guía en cualquier momento. 

Cuando una experiencia depende de las relaciones humanas, es natural que emerjan situaciones que ameriten atención adicional y diplomacia!  Queremos ayudar y estaremos en la mejor disposición de hacer lo necesario para asistirlos.

Estamos sumamente agradecidos con todas nuestras familias anfitrionas!  Están ofreciendo una maravillosa oportunidad a estos estudiantes y a su vez contribuyendo con el entendimiento internacional.  Esperamos que encuentre que esta experiencia sea de gran provecho para usted y su familia.

GRACIAS!

Drawing with dots

The Making of "Hero" from Miguel Endara on Vimeo.

Self-portrait

He´s got dark skin. He wear a blue shirt, necktie and a grey jacket. He wear a brown hat on head.

He has blacks eyebrow, a aquiline nose  and a sad look.                                                                                  

                                                         

Eduard Hopper, a very important artist of XX century, is the painter of the U.S.A reality. He born on 1882 in New York. His works are a mix of dreams and reality that look into loneliness of  contemporary men.

OPTICAL ILLUSIONS

An optical illusion is an illusion of our sight sense, that makes us perceive the reality wrongly. This illusions are used in some arts, like cinema or paintings. In arts, they're called trompe-l'oeils:

There are many types of optical illusions. Some of them are:

- Stereoscopic images: if you cross your eyes lightly, you can mix two similar images to create a 3-dimensions one.

- Autostereogram: if you cross your eyes standing 30 cm in front of these images, you'll see as if it had 3-dimensions relief. In the first one you'll see a heart, in the second one, a shark.

- Motion illusions: if you move your head towards and backwards the picture, looking at the point of the centre, you'll see the two circles move.

- Other effects: In the first case, all the lines are pallalel, even though they don't seem to be. In the second image, the two circles are the same size.

El Greco's portrait

El Greco was a famous painter of the sixteen and seventeen century. He was born in Creta, Greece, in 1541 and died in 1614, in Toledo, Spain. His real name was Doménikos Theotokópoulos but they call him El Greco. He draws with a quick stroke (he don't stop in details).
In this portrait he was more less 55 years old. He has big eyes and a direct look. He has elongated ears and a brown chin. He has a narrow face and the hair is brown. He has small lips and a rosy cheeks. He wears typical clothes of his time. His eyebrows are small and he has a wide forehead. He has a big nose and some freckles.

RIGHT HEMISPHERE OF OUR BRAIN

SELF PORTRAIT OF PABLO PICASSO

Pablo Picasso was a very famous painter. He was sculptor too.

In the picture he has a beret and we can´t see the hair. In really, Picasso hadn´t hair. He has very big ears and some wrinkles. His eyes are brown and the tabs are white like his hair. He has a big snub nose. In the forehead has some freckles or grains. His mouth is curved and big. He has got a brow shirt. He hasn´t mustache.

He has a wide chin and large cheeks.

NICANOR PIÑOLE

Nicanor has got black eyes and long and black hair. He has mostache. He has got a long neck. Velázquez hasn’t got freckles and he hasn’t wrinkles. He hasn’t beard. He is wearing a suit.

THE GOLDEN NUMBER

 THE GOLDEN NUMBER

The golden number was dicovered by Greek mathematicians and disciples of Pythagoras during the sixth century. It is about and harmonic geometrical figure in wich Greeks found a perfectly balances regulated  (with equal sides) pentagon, in wich inside which they could make a five-armed star called pentacle . 


When they made the ratios between different parts of the pentacles, the number 1.618 was found by tens of times. This irrational number is considered the symbol of the harmony.
It appears lots of times for example the golden number  appears in "La Sagrada Familia" by Miguel Angel.


















AIDA ZAPICO, ALEXANDRA BRANCOVEAN,CANDELA MEGIDO

Velazquez self-portrait

In this self-portrait Velazquez has got long curly hair,big and dark eyebrows,black eyes,beard and a big moustache and also has an average size nose and and a very big forehead.