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https://www.youtube.com/watch?v=sxl6TOLxvuI
11 oct. 2007 - Subido por BPPNPR
Over the weekend, children's author Madeleine L'Engle died at 88. Her most noted work, A Wrinkle in Time ...
kasmana.people.cofc.edu/MATHFICT/mfview.php?callnumber...
Madeleine L'Engle's books distort the nature of scientific research and use ... The tesseract is the four-dimensional hypercube or 4-cube (Wikipedia)”.
https://www.math.brown.edu/~banchoff/Yale/.../math.html
4 dic. 1998 - Madeline L'Engle's exposition of the concept of multiple dimensions is in .... The hypercube is an object in the fourth dimension, analogous to a ...
encyclopedia.kids.net.au/page/hy/Hypercube
A tesseract, or four-dimensional hypercube, is a regular four-dimensional ... in the children's fantasy novel A Wrinkle In Time[?], by Madeleine L'Engle[?], as a ...
mathworld.wolfram.com › ... › A Wrinkle in Time
In Madeleine L'Engle's novel A Wrinkle in Time, the characters in the story ... A. The hypercube initially exists as a series of connected 3-dimensional cubes, ...
https://geekdad.com/2014/03/tesseracts/
7 mar. 2014 - When Madeleine L'Engle was writing it around 1960, she was ... Murray is trapped in a hypercube (i.e., the cube-within-a-cube tesseract as it is ...
https://base12innovations.wordpress.com/tag/madeleine-lengle/
10 ago. 2016 - Posts about madeleine l'engle written by base12apps. ... One is the hypercube, which is mathematically classified as a tesseract. The other is a ...
blog.hypercubed.com/.../npr-a-four-dimensional-tribute-to-the-la...
11 sep. 2007 - Here is a video of Physicist David Morgan explaining a tesseract (4-D Hypercube) in a tribute the late Madeleine L'Engle. I give nearly the ...
io9.com/5823271/the-many-dimensions-of-the-tesseract
21 jul. 2011 - It goes by many names: the hypercube, the 8-cell, or the octochoron. ... Madeleine L'Engle's characters hopped through vast reaches of space ...
alem3d.obidos.org/en/intro4d/
Perhaps the most well-known higher-dimensional object is the hypercube, the ... by Madeleine L'Engle, or ``And He Built a Crooked House', by Robert Heinlein.
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22/7=3.14=PI
12 PUNTOS EN SU CIRCUNFERENCIA=RELOJ=SANTA CENA
LONGITUD CIRCUNFERENCIA=PIxDIAMETRO
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REPRODUCCION DE LOS CONEJOS EN FUNCION A LA SERIE DE FIBONACCI, INCLUSO DEL RELOJ Y DE LA MISMA SANTA CENA (MISMA MANZANA)
 
Apocalipsis 21
1. Vi un cielo nuevo y una tierra nueva; porque el primer cielo y la primera tierra pasaron, y el mar ya no existía más.
2. Y yo Juan vi la santa ciudad, la nueva Jerusalén, descender del cielo, de Dios, dispuesta como una esposa ataviada para su marido.
3. Y oí una gran voz del cielo que decía: He aquí el tabernáculo de Dios con los hombres, y él morará con ellos; y ellos serán su pueblo, y Dios mismo estará con ellos como su Dios.
4. Enjugará Dios toda lágrima de los ojos de ellos; y ya no habrá muerte, ni habrá más llanto, ni clamor, ni dolor; porque las primeras cosas pasaron.
5. Y el que estaba sentado en el trono dijo: He aquí, yo hago nuevas todas las cosas. Y me dijo: Escribe; porque estas palabras son fieles y verdaderas.
6. Y me dijo: Hecho está. Yo soy el Alfa y la Omega, el principio y el fin. Al que tuviere sed, yo le daré gratuitamente de la fuente del agua de la vida. (911 O SALMO 119)
7. El que venciere heredará todas las cosas, y yo seré su Dios, y él será mi hijo.
8. Pero los cobardes e incrédulos, los abominables y homicidas, los fornicarios y hechiceros, los idólatras y todos los mentirosos tendrán su parte en el lago que arde con fuego y azufre, que es la muerte segunda.
9. Vino entonces a mí uno de los siete ángeles que tenían las siete copas llenas de las siete plagas postreras, y habló conmigo, diciendo: Ven acá, yo te mostraré la desposada, la esposa del Cordero.
10. Y me llevó en el Espíritu a un monte grande y alto, y me mostró la gran ciudad santa de Jerusalén, que descendía del cielo, de Dios,
11. teniendo la gloria de Dios. Y su fulgor era semejante al de una piedra preciosísima, como piedra de jaspe, diáfana como el cristal.
12. Tenía un muro grande y alto con doce puertas; y en las puertas, doce ángeles, y nombres inscritos, que son los de las doce tribus de los hijos de Israel; (EL MISMO RELOJ, O SANTA CENA O LA MANZANA, LA TRASLACION EN EL TIEMPO)
13. al oriente tres puertas; al norte tres puertas; al sur tres puertas; al occidente tres puertas.
14. Y el muro de la ciudad tenía doce cimientos, y sobre ellos los doce nombres de los doce apóstoles del Cordero.
15. El que hablaba conmigo tenía una caña de medir, de oro, para medir la ciudad, sus puertas y su muro.
16. La ciudad se halla establecida en cuadro, y su longitud es igual a su anchura; y él midió la ciudad con la caña, doce mil estadios; la longitud, la altura y la anchura de ella son iguales. (CUBO=ESPACIO/TIEMPO)
17. Y midió su muro, ciento cuarenta y cuatro codos, de medida de hombre, la cual es de ángel. (EL NEXO DE LA MANZANA, EL PENTAGONO, LA NUEVA JERUSALEN, EL CASTILLO SAN ANGELO DEL VATICANO E INCLUSO EL MISMO PENTAGONO DE WASHINGTON D.C. ES OBVIO EL NEXO DEL RELOJ CON LA MANZANA)
18. El material de su muro era de jaspe; pero la ciudad era de oro puro, semejante al vidrio limpio;
19. y los cimientos del muro de la ciudad estaban adornados con toda piedra preciosa. El primer cimiento era jaspe; el segundo, zafiro; el tercero, ágata; el cuarto, esmeralda;
20. el quinto, ónice; el sexto, cornalina; el séptimo, crisólito; el octavo, berilo; el noveno, topacio; el décimo, crisopraso; el undécimo, jacinto; el duodécimo, amatista.
21. Las doce puertas eran doce perlas; cada una de las puertas era una perla. Y la calle de la ciudad era de oro puro, transparente como vidrio.
22. Y no vi en ella templo; porque el Señor Dios Todopoderoso es el templo de ella, y el Cordero.
23. La ciudad no tiene necesidad de sol ni de luna que brillen en ella; porque la gloria de Dios la ilumina, y el Cordero es su lumbrera. (PROVERBIOS 25:11, OSEA LA MISMA MANZANA, OSEA UNA REFERENCIA AL SOL/ORO/HOMBRE Y LUNA/PLATA/MUJER, OSEA EL MISMO SUEÑO DE JOSE DE GENESIS 37)
24. Y las naciones que hubieren sido salvas andarán a la luz de ella; y los reyes de la tierra traerán su gloria y honor a ella.
25. Sus puertas nunca serán cerradas de día, pues allí no habrá noche.
26. Y llevarán la gloria y la honra de las naciones a ella.
27. No entrará en ella ninguna cosa inmunda, o que hace abominación y mentira, sino solamente los que están inscritos en el libro de la vida del Cordero.
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There's finally an explanation for the giant dirt pyramid on Apple's new campus
 Youtube/Duncan SinfieldAs Apple's $5 billion "spaceship" campus in Cupertino, California, has started to take shape, an enormous pyramid of dirt has risen beside it.
Now we know why: None of the dirt excavated to situate Apple's new offices will be removed from the 175-acre campus.
Instead, all of the earth Apple dug up will become part of the building's landscaping, which will eventually resemble a natural forest.
"Hard to know which is more beautiful, the building or that pile of dirt," CEO Tim Cook told Vogue.
Apple's 12,000-person campus is expected to be completed this year. Major landscaping — building the dirt pyramid — was completed in 2014. Employees are expected to move in to their new offices in early 2017.
The process of building the campus started in 2009, and former CEO Steve Jobs said that Apple had "a shot at building the best office building in the world." Apple partnered with architect Norman Foster to design the building, which heavily features curved glass in the design — over 4 miles, according to Foster.
But as important as the building was to Jobs, so was the campus' larger landscape. When finished, it will be covered with natural and native grasses and trees.
Here's another look at the giant dirt pile:
 Youtube/Duncan Sinfield
Here's what Apple's campus will look like when it's finished, according to design renders:
 City of Cupertino https://www.businessinsider.com/we-now-know-why-theres-a-giant-dirt-pyramid-on-apples-new-campus-2016-2
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Apple's New Fifth Avenue Store Cube Fully Revealed
By Eric Slivka
While Apple's Fifth Avenue retail store in Manhattan is not set to reopen until 10:00 AM this morning, crews have completed their work on the revamped glass cube, fully revealing the streamlined design for the first time.
MacRumors reader Vincent sent along these photos of the new cube, which utilizes only 15 panes of glass rather than the 90 used in the original cube. The new cube is also "seamless", doing away with nearly all of the hardware that previously held the panes of glass together.
In addition to the new cube, Apple has also upgraded the plaza, refreshing or installing new water drains and pavers while removing the small bollards that had previously surrounded the cube.
Update: YouTube user patjem2 has posted a brief video showing the new cube and a growing crowd of customers just prior to the store's reopening.
A second video also shows the first customers entering the newly-reopened store through the updated glass cube.
Copyright © 2000-2011 MacRumors.com, LLC.
November 4th, 2011, 01:44 PM#274
Fearless Photog
Looks like they also ditched the depression from when, I think, this was a third fountain.
November 9th, 2011, 01:58 PM#275
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Steve Jobs Loves his Big iCube It’s his; he’s not leaving it here.By Deborah SchoenemanThe long-awaited deal for Apple’s sprawling subterranean store in the GM building was recently finalized—but only after landlord Harry Macklowe promised Steve Jobs he could take his big $9 million glass cube with him at the end of the lease. Techno aesthete Jobs personally designed the 32-foot-by-32-foot box that will mark the store’s entrance on the Fifth Avenue plaza (formerly home to a T.G.I.Friday’s). “Steve Jobs felt that he created the cube so he owned it,” says Apple broker Robert Futterman, noting that Macklowe wanted it to stay put. “At the eleventh hour, that was the biggest issue.” Macklowe had aggressively wooed Jobs, flying out to California twice and offering well below market rent of $1,000 per square foot for the 24,000-square-foot store set to open in the spring. At the end of the twenty-year lease, Jobs must replace the cube with a comparable structure before hauling it off. Apple didn’t return calls, and Macklowe declined to comment. Jobs should drop dead on Nov 29th 2025. http://wirednewyork.com/forum/showthread.php?t=5681&page=2
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According to French financial daily La Tribune, Apple has received approval to build one of its eponymous stores in Paris. The location? Where else but under the glass pyramid in the Carrousel du Louvre.
It would mark the second piece of geometric glass architecture used by the Cupertino company, the first being the cube at the Apple's Fifth Avenue store in Manhattan, New York that first opened in May 2006.
The plans encompass a 715 square foot area under the pyramid formerly inhabited by two shops known as Résonances and Lalique.
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| The now-iconic Apple Store on Fifth Avenue in Manhattan, the scene of many a line-forming ceremony in recent days. |
Completed in 1989 by modernist architect I.M. Pei, the glass and steel structure and is considered by many to be one of the great landmarks of Paris along with the Eiffel Tower. From the book "Conversations with I.M. Pei," the architect had this to say about his design, "'The glass pyramid is a symbol that defines the entry to the Louvre. it is placed precisely at the center of gravity of the three pavilions [and] assumes the function of a symbolic entry to a huge complex of meandering interconnected buildings which had no center."
Approval is only the first step and does not guarantee that an Apple Store will actually materialize under Pei's structure, but it makes one wonder about future Apple stores showing up in places like the Glass Cylinder memorial in Madrid, the Globus II shopping center in Kiev, or perhaps even in Germany's Reichstag.
https://betanews.com/2008/06/06/apple-store-aims-for-the-paris-louvre-s-glass-pyramid/
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Madrid celebra a Leonardo da Vinci y expone sus Códices y la Tavola Lucana
EFE - Madrid
Madrid celebra a Leonardo da Vinci y expone sus Códices y la Tavola Lucana
Con el objetivo de mostrar no solo al genio sino al "hombre de carne y hueso" que fue Leonardo da Vinci, la Biblioteca Nacional y el Palacio de las Alhajas conmemoran desde hoy el quinto centenario de su muerte con una exposición que ofrece dos "joyas": los Códices de Madrid y la Tavola Lucana.
"Leonardo da Vinci: los rostros del genio" es el título de la exposición que ha sido presentada hoy por su comisario, Christian Gálvez, presentador de televisión y experto en la figura del maestro renacentista, y la directora de la Biblioteca Nacional (BNE), Ana Santos, quienes han destacado la oportunidad de ver tanto los Códices, los dos únicos textos de Leonardo que se conservan en España, como la Tavola Lucana, identificada como el autorretrato del italiano.
Una exposición con dos sedes, el Palacio de las Alhajas y la BNE, con las que Madrid se une a los actos de conmemoración del quinto centenario de la muerte de Da Vinci, que se cumple el 2 de mayo de 2019.
Un gran cubo con los posibles rostros de Leonardo reciben al visitante en el Palacio de las Alhajas, una forma de reflejar "la mente poliédrica de Da Vinci y la transversalidad de su conocimiento", ha explicado hoy Gálvez en la presentación de esta exposición, que enseña cómo para él era tan importante la obra acabada como la inacabada.
Imágenes de los coetáneos de Da Vinci acompañan a reproducciones de sus principales obras pictóricas, entre las que destacan "La última cena" y " La Gioconda" y sus trabajos preparatorios, junto a sus estudios de anatomía que abordó tanto con un propósito artístico como científico.
Además, la exposición ofrece numerosas maquetas tanto físicas como virtuales de las avanzadas máquinas e ingenios ideadas por un hombre "que nunca dejó de volar con la imaginación", ha indicado Gálvez.
Tras un apartado dedicado a las posibles "caras" de Leonardo, la muestra expone por primera vez en España la "Tavola Lucana", descubierta en 2008 por el historiador de arte Nicola Barbatelli, quien ha asegurado hoy que es el único retrato que reúne todas las condiciones para asegurar que representa al maestro florentino.
Estudios de pigmentación, materiales, técnicas y detalles en el cuadro han determinado que se trataba de un autorretrato de Da Vinci, ha indicado Barbatelli.
Al mismo tiempo, la Biblioteca Nacional abre hoy por primera vez su vestíbulo como espacio expositivo para mostrar dos "joyas" de sus fondos, los Códices Madrid I y Madrid II de Leonardo da Vinci.
Redactados en torno a 1500 con su escritura inversa (era zurdo), los códices son los únicos que conserva España de la colección de manuscritos que llegó a Madrid a principios del XVII: El Códice I es un tratado de mecánica y estática mientras que el II es un estudio de fortificación, estática y geometría.
Aunque la exposición permanecerá abierta hasta el 19 de mayo de 2019, los códices originales solo podrán ser contemplados un mes, en el que se irán alternando, para garantizar su adecuada conservación, ha indicado la directora de la BNE, que ha explicado que luego serán sustituidos por sus facsímiles.
Acompañarán a estos dos volúmenes otras 32 obras de la colección de la BNE que contextualizan las vida y obras de Leonardo da Vinci, así como reconstrucciones de máquinas dibujadas en los códices por el maestro y de uno de los mayores proyectos que acometió, el enorme caballo diseñado para Ludovico Sforza.
https://www.eldiario.es/cultura/Madrid-Leonardo-Codices-Tavola-Lucana_0_840616533.html |
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Incendio Notre Dame: Última hora de la catedral de París (15 DE ABRIL)
 Incendio Notre Dame (París), en directo (Bertrand Guay / AFP)
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The DaVinci Code, Notre Dame Cathedral from DaVinci Code
original movie prop
The polystyrene scale Notre Dame Cathedral from DaVinci Code
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LLAVE DE ORO Y DE PLATA AL IGUAL QUE LA MANZANA
Incendio Notre Dame: Última hora de la catedral de París (15 DE ABRIL)
Incendio Notre Dame (París), en directo (Bertrand Guay / AFP)
PHI A NOTRE-DAME
A la catredal de Notre Dame hi observem més rectanlges auris: Creat per Mario Pastor 
The DaVinci Code, Notre Dame Cathedral from DaVinci Code
original movie prop
HEXAGONO=OCTAHEDRO =ESTRELLA DE 6 PUNTAS= SATURNO =CUBO/HEXAGONO= ESPACIO/TIEMPO =1 DE REYES 6:20 Y APOCALIPSIS 21:16
EL SEXTO DIA ES EL VIERNES Y EL OCTAVO EL DOMINGO. INCREIBLE
   
August 23, 2018/
The Golden Section (aka Golden Mean, and Golden Ratio) phys.org
We use math in architecture on a daily basis to solve problems. We use it to achieve both functional and aesthetic advantages. By applying math to our architectural designs through the use of the Golden Section and other mathematical principles, we can achieve harmony and balance. As you will see from some of the examples below, the application of mathematical principles can result in beautiful and long-lasting architecture which has passed the test of time.
Using Math in Architecture for Function and Form
We use math in architecture every day at our office. For example, we use math to calculate the area of a building site or office space. Math helps us to determine the volume of gravel or soil that is needed to fill a hole. We rely on math when designing safe building structures and bridges by calculating loads and spans. Math also helps us to determine the best material to use for a structure, such as wood, concrete, or steel.
“Without mathematics there is no art.” – Luca Pacioli, De divina proportione, 1509
Architects also use math when making aesthetic decisions. For instance, we use numbers to achieve attractive proportion and harmony. This may seem counter-intuitive, but architects routinely apply a combination of math, science, and art to create attractive and functional structures. One example of this is when we use math to achieve harmony and proportion by applying a well-known principle called the Golden Section
Math and Proportion – The Golden Section
Perfect proportions of the human body – The Vitruvian Man – by Leonardo da Vinci.
We tend to think of beauty as purely subjective, but that is not necessarily the case. There is a relationship between math and beauty. By applying math to our architectural designs through the use of the Golden Section and other mathematical principles, we can achieve harmony and balance.
The Golden Section is one example of a mathematical principle that is believed to result in pleasing proportions. It was mentioned in the works of the Greek mathematician Euclid, the father of geometry. Since the 4th century, artists and architects have applied the Golden Section to their work.
The Golden Section is a rectangular form that, when cut in half or doubled, results in the same proportion as the original form. The proportions are 1: the square root of 2 (1.414) It is one of many mathematical principles that architects use to bring beautiful proportion to their designs.
Examples of the Golden Section are found extensively in nature, including the human body. The influential author Vitruvius asserted that the best designs are based on the perfect proportions of the human body.
Over the years many well-known artists and architects, such as Leonardo da Vinci and Michelangelo, used the Golden Section to define the dimensions and proportions in their works. For example, you can see the Golden Section demonstrated in DaVinci’s painting Mona Lisa and his drawing Vitruvian Man.
Famous Buildings Influenced by Mathematical Principles
Here are some examples of famous buildings universally recognized for their beauty. We believe their architects used math and the principals of the Golden Section in their design:
Parthenon
The classical Doric columned Parthenon was built on the Acropolis between 447 and 432 BC. It was designed by the architects Iktinos and Kallikrates. The temple had two rooms to shelter a gold and ivory statue of the goddess Athena and her treasure. Visitors to the Parthenon viewed the statue and temple from the outside. The refined exterior is recognized for its proportional harmony which has influenced generations of designers. The pediment and frieze were decorated with sculpted scenes of Athena, the Gods, and heroes.
Parthenon Golden Section
Notre Dame Cathedral in Paris
Built on the Ile de la Cite, Notre Dame was built on the site of two earlier churches. The foundation stone was laid by Pope Alexander III in 1163. The stone building demonstrates various styles of architecture, due to the fact that construction occurred for over 300 years. It is predominantly French Gothic, but also has elements of Renaissance and Naturalism. The cathedral interior is 427 feet x 157 feet in plan. The two Gothic towers on the west façade are 223 feet high. They were intended to be crowned by spires, but the spires were never built. The cathedral is especially loved for its three stained glass rose windows and daring flying buttresses. During the Revolution, the building was extensively damaged and was saved from demolition by the emperor Napoleon.
Notre Dame Cathedral in Paris
Taj Mahal
Built in Agra between 1631 and 1648, the Taj Mahal is a white marble mausoleum designed by Ustad-Ahmad Lahori. This jewel of Indian architecture was built by Emperor Shah Jahan in memory of his favorite wife. Additional buildings and elements were completed in 1653. The square tomb is raised and is dramatically located at the end of a formal garden. On the interior, the tomb chamber is octagonal and is surrounded by hallways and four corner rooms. Building materials are brick and lime veneered with marble and sandstone.
Taj Mahal designed by Ustad-Ahmad Lahori
As you can see from the above examples, the application of mathematical principles can result in some pretty amazing architecture. The architects’ work reflects eye-catching harmony and balance. Although these buildings are all quite old, their designs have pleasing proportions which have truly passed the test of time.
https://bleckarchitects.com/math-in-architecture/
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