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¿Necesitamos los sentidos para aprender Matemáticas?

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¿Necesitamos los sentidos para aprender Matemáticas?

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"La importancia de la visualización en Matemáticas"
"El rincón de la pizarra"
(Miguel de Guzmán)

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Expresiones algebraicas, palabras y figuras

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Expresiones algebraicas, palabras y figuras

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Busquemos en todo momento el rigor, pero no el "rigor mortis" (Miguel de Guzmán)
Cuerpos de revolución, por Arancha V. y Ceferino A.

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"Puedo disfrutar de esta perfección y dar testimonio con conciencia clara, porque no fui yo quien la inventó ni quien la descubrió. Las leyes matemáticas no son meras invenciones humanas o creaciones. Simplemente "son"; existen independientemente del intelecto humano."

"Es la fuente de inspiración más rica con la que me he topado, y no se ha secado aún, ni mucho menos" M.C. Escher

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Teselaciones: Recubrimos el plano sin solapamientos ni agujeros

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Teselaciones: Recubrimos el plano sin solapamientos ni agujeros

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Steve Phelps (I)

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Steve Phelps (II)

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Tercera y última teselación con Geogebra

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Tercera y última teselación con Geogebra

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Steve Phelps III

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Maurits Cornelis y Jetta Escher en la Alhambra

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Maurits Cornelis y Jetta Escher en la Alhambra

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1935-36: Apuntes de La Alhambra
Casi "obsesión" por las teselaciones

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Representa animales

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Notas biográficas de Maurits Cornelius Escher (1898-197

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Notas biográficas de Maurits Cornelius Escher (1898-197

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Infancia, salud y escuela
Escuela de Arquitectura y Diseño de interiores de Haarlem
De Mesquita, profesor de grabado.
Viajes. Apuntes del sur de Italia. Apuntes de La Alhambra.
Fascismo. Segunda Guerra Mundial: Suiza. Holanda.
1954: Congreso internacional de Matemáticas en Holanda.
Coxeter y Penrose.
Geometría hiperbólica y triángulo de Penrose

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Escher: La misma pieza con distintos colores

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Escher: La misma pieza con distintos colores

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Construcción de caleidociclos: Wallace Walker

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Construcción de caleidociclos: Wallace Walker

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Anillos de tetraedros que giran sobre sí mismos.
Un vídeo de Sandra M. Gobert.
Plantillas en:
polyhedra.net
foldplay.com

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Sandra M. Gobert - Pensarte e artesanato

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COMO FAZER UM CALEIDOCICLO - BRINQUEDO DE PAPEL

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1954: Congreso Internacional de Matemáticas en Holanda

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1954: Congreso Internacional de Matemáticas en Holanda

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Contacto y colaboración con Coxeter, Penrose y otros matemáticos: teselación en la geometría hiperbólica

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Las teselas se escapan de su forma geométrica y cobran vida

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En 1969

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Caleidociclos y Escher: Doris Schattschneider y Wallace Walker

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Caleidociclos y Escher: Doris Schattschneider y Wallace Walker

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M. C. Escher - Artist, Mathematician, Man - Roger Penrose and Jon Chapman

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M. C. Escher - Artist, Mathematician, Man - Roger Penrose and Jon Chapman

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M. C. Escher - Artist, Mathematician, Man - Roger Penrose and Jon Chapman

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Sara Hart lecturing on Coxeter and Escher

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Sara Hart lecturing on Coxeter and Escher

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Escher and Coxeter - a Mathematical Conversation - Professor Sarah Hart

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Doris Schattschneider on Gardner and Escher:

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Doris Schattschneider on Gardner and Escher:

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by Gathering 4 Gardner

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The magic mirror of M.C. Escher, de Bruno Ernst

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The magic mirror of M.C. Escher, de Bruno Ernst

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Otro libro sobre M.C. Escher, con muchos datos biográficos

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Snakes, de Cristóbal Vila, basado en "Serpientes

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Snakes, de Cristóbal Vila, basado en "Serpientes

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An animated 3D short based on a woodcut by M. C. Escher.
If you want know more about this animation, please visit my personal site: www.etereaestudios.com. There are lots of training materials and 3D workshops, too ;-)

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Enlace a esta presentación

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Coxeter:The math behind Escher's circle limit

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Coxeter:The math behind Escher's circle limit

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Coxeter discusses the math behind Escher's circle limit

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The Art of the Impossible: MC Escher (Sir Roger Penrose) II

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The Art of the Impossible: MC Escher (Sir Roger Penrose) II

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2/2 The Art of the Impossible: MC Escher and Me - Secret Knowledge

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1/2 The Art of the Impossible: MC Escher and Me - Secret Knowledge

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The Mathematical Art of M.C. Escher by Prof. Ian Stewart 

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The Mathematical Art of M.C. Escher by Prof. Ian Stewart 

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Colección de videos del Museo de Escher en La Haya

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Colección de videos del Museo de Escher en La Haya

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About Escher

During the years several interesting documentaries and short films have been made about Maurits Escher. On this page we show a selection of them.

Escher working on Snakes

The only known film showing Escher at work. He cuts and prints Snakes, his last woodcut from 1969.

Adventures in Perception, 1971

A 20-minute documentary which contains lots of Escher's work, accompanied by a dissonant film score by Felix Visser. Half way through the film, Escher himself appears, working in his studio. The voiceover explains about his life and work, as well as playing quotes by Escher himself. The film was directed by Han Van Gelder and forms part of the Living Art in the Netherlands series. The documentary was sponsored by the Ministry of Foreign Affairs. It was meant for the Dutch embassies, a film festival in Moskou and the World Exhibition in Osaka in 1970.

Cinemedia, 1999

A documentary on Escher's life and work, produced by CINEMEDIA with the
Nederlandse Programma Stichting (NPS) and Radio Nederland Televisie (RNTV) in 1999

The Art of the Impossible: MC Escher and Me, 2015

Professor Sir Roger Penrose is not only a big fan of M.C. Escher; he also worked closely with the graphic artist. Penrose first came into contact with Escher's work during the International Congress of Mathematics in Amsterdam, in 1954. Some of Escher's most iconic works are based on the work of Penrose, who began a lot of his research with Escher's works. This film is made for the first British retrospective on Escher which was shown in Edinburgh and London.

The Mathematical Art of MC Escher, 2013

Short documentary by the BBC.

MC Escher, Images of Mathematics

Introduction to the work of Escher made by Breezewood documentaries, with music by Chopin.

Escher: Sky and Water 1

A section from a documentary made by the National Film Board of Canada, called Escher, Van Gogh and Seurat: Art at Play. In it, three Canadian animation artists bring the work of these three artists to life.

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During the years several interesting documentaries and short films have been made about Maurits Escher. On this page we show a selection of them. Escher working on Snakes The only known film showing Escher at work. He cuts and prints Snakes, his last woodcut from 1969. Adventures in Perception, 1971...

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Escher trabajando en "Serpientes", su último grabado, en 1969

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Escher trabajando en "Serpientes", su último grabado, en 1969

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Inspirations, un vídeo de Cristóbal Vila

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Inspirations, un vídeo de Cristóbal Vila

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2019 NEWS: don't miss my latest animation https://etereaestudios.com/works/infinitepatterns

Fullscreen and volume up, please! ;-)
A short movie inspired on Escher's works and a free vision on how it could be his workplace.
— 3D animation by Cristóbal Vila · More info about this movie: www.etereaestudios.com
— Music theme “Lost Song” by Ólafur Arnalds: www.olafurarnalds.com

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Hablando sobre su padre en la época de Roma

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Museo de Escher en La Haya

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Explore the beautiful art of M.C. Escher. Learn about the artist's life and work. Get the latest news about exhibitions, learn about the use of M.c. Escher's work, and discover great products that feature the designs of this legendary artist.