New possibilities opened up by the concept of four-dimensional space (and difficulties involved in trying to visualize it) helped inspire many modern artists in the first half of the twentieth century. Early Cubists, Surrealists, Futurists, and abstract artists took ideas from higher-dimensional mathematics and used them to radically advance their work. [1]
French mathematician Maurice Princet was known as "le mathématicien du cubisme" ("the mathematician of cubism"). [2] An associate of the School of Paris—a group of avant-gardists including Pablo Picasso, Guillaume Apollinaire, Max Jacob, Jean Metzinger, and Marcel Duchamp—Princet is credited with introducing the work of Henri Poincaré and the concept of the "fourth dimension" to the cubists at the Bateau-Lavoir during the first decade of the 20th century. [3]
Princet introduced Picasso to Esprit Jouffret's Traité élémentaire de géométrie à quatre dimensions (Elementary Treatise on the Geometry of Four Dimensions, 1903), [4] a popularization of Poincaré's Science and Hypothesis in which Jouffret described hypercubes and other complex polyhedra in four dimensions and projected them onto the two-dimensional page. Picasso's Portrait of Daniel-Henry Kahnweiler in 1910 was an important work for the artist, who spent many months shaping it. [5] The portrait bears similarities to Jouffret's work and shows a distinct movement away from the Proto-Cubist fauvism displayed in Les Demoiselles d'Avignon , to a more considered analysis of space and form. [6]
Early cubist Max Weber wrote an article entitled "In The Fourth Dimension from a Plastic Point of View", for Alfred Stieglitz's July 1910 issue of Camera Work . In the piece, Weber states, [7] "In plastic art, I believe, there is a fourth dimension which may be described as the consciousness of a great and overwhelming sense of space-magnitude in all directions at one time, and is brought into existence through the three known measurements."
Another influence on the School of Paris was that of Jean Metzinger and Albert Gleizes, both painters and theoreticians. The first major treatise written on the subject of Cubism was their 1912 collaboration Du "Cubisme" , which says that: [8]
"If we wished to relate the space of the [Cubist] painters to geometry, we should have to refer it to the non-Euclidian mathematicians; we should have to study, at some length, certain of Riemann's theorems."
The American modernist painter and photographer Morton Livingston Schamberg wrote in 1910 two letters to Walter Pach, [9] [10] parts of which were published in a review of the 1913 Armory Show for The Philadelphia Inquirer , [11] about the influence of the fourth dimension on avant-garde painting; describing how the artists' employed "harmonic use of forms" distinguishing between the "representation or rendering of space and the designing in space": [12] [13]
If we still further add to design in the third dimension, a consideration of weight, pressure, resistance, movement, as distinguished from motion, we arrive at what may legitimately be called design in the fourth dimension, or the harmonic use of what may arbitrarily be called volume. It is only at this point that we can appreciate the masterly productions of such a man as Cézanne.
Cézanne's explorations of geometric simplification and optical phenomena inspired the Cubists to experiment with simultaneity, complex multiple views of the same subject, as observed from differing viewpoints at the same time. [14]
In 1936 in Paris, Charles Tamkó Sirató published his Manifeste Dimensioniste, [15] which described how the Dimensionist tendency has led to:
The manifesto was signed by many prominent modern artists worldwide. Hans Arp, Francis Picabia, Kandinsky, Robert Delaunay and Marcel Duchamp amongst others added their names in Paris, then a short while later it was endorsed by artists abroad including László Moholy-Nagy, Joan Miró, David Kakabadze, Alexander Calder, and Ben Nicholson. [15]
In 1953, the surrealist Salvador Dalí proclaimed his to paint "an explosive, nuclear and hypercubic" crucifixion scene. [16] [17] He said that, "This picture will be the great metaphysical work of my summer". [18] Completed the next year, Crucifixion (Corpus Hypercubus) depicts Jesus Christ upon the net of a hypercube, also known as a tesseract. The unfolding of a tesseract into eight cubes is analogous to unfolding the sides of a cube into six squares. The Metropolitan Museum of Art describes the painting as a "new interpretation of an oft-depicted subject. ..[showing] Christ's spiritual triumph over corporeal harm." [19]
Some of Piet Mondrian's abstractions and his practice of Neoplasticism are said to be rooted in his view of a utopian universe, with perpendiculars visually extending into another dimension. [20]
The fourth dimension has been the subject of numerous fictional stories. [21]
Cubism is an early-20th-century avant-garde art movement that revolutionized European painting and sculpture, and inspired related artistic movements in music, literature, and architecture. In Cubist works of art, the subjects are analyzed, broken up, and reassembled in an abstract form—instead of depicting objects from a single perspective, the artist depicts the subject from multiple perspectives to represent the subject in a greater context. Cubism has been considered the most influential art movement of the 20th century. The term cubism is broadly associated with a variety of artworks produced in Paris or near Paris (Puteaux) during the 1910s and throughout the 1920s.
Jean Dominique Antony Metzinger was a major 20th-century French painter, theorist, writer, critic and poet, who along with Albert Gleizes wrote the first theoretical work on Cubism. His earliest works, from 1900 to 1904, were influenced by the neo-Impressionism of Georges Seurat and Henri-Edmond Cross. Between 1904 and 1907, Metzinger worked in the Divisionist and Fauvist styles with a strong Cézannian component, leading to some of the first proto-Cubist works.
Albert Gleizes was a French artist, theoretician, philosopher, a self-proclaimed founder of Cubism and an influence on the School of Paris. Albert Gleizes and Jean Metzinger wrote the first major treatise on Cubism, Du "Cubisme", 1912. Gleizes was a founding member of the Section d'Or group of artists. He was also a member of Der Sturm, and his many theoretical writings were originally most appreciated in Germany, where especially at the Bauhaus his ideas were given thoughtful consideration. Gleizes spent four crucial years in New York, and played an important role in making America aware of modern art. He was a member of the Society of Independent Artists, founder of the Ernest-Renan Association, and both a founder and participant in the Abbaye de Créteil. Gleizes exhibited regularly at Léonce Rosenberg's Galerie de l’Effort Moderne in Paris; he was also a founder, organizer and director of Abstraction-Création. From the mid-1920s to the late 1930s much of his energy went into writing, e.g., La Peinture et ses lois, Vers une conscience plastique: La Forme et l’histoire and Homocentrisme.
The Section d'Or, also known as Groupe de Puteaux or Puteaux Group, was a collective of painters, sculptors, poets and critics associated with Cubism and Orphism. Based in the Parisian suburbs, the group held regular meetings at the home of the Duchamp brothers in Puteaux and at the studio of Albert Gleizes in Courbevoie. Active from 1911 to around 1914, members of the collective came to prominence in the wake of their controversial showing at the Salon des Indépendants in the spring of 1911. This showing by Albert Gleizes, Jean Metzinger, Robert Delaunay, Henri le Fauconnier, Fernand Léger and Marie Laurencin, created a scandal that brought Cubism to the attention of the general public for the first time.
Maurice Princet was a French mathematician and actuary who played a role in the birth of cubism. He was an associate of Pablo Picasso, Guillaume Apollinaire, Max Jacob, Jean Metzinger, and Marcel Duchamp. He is known as "le mathématicien du cubisme".
Esprit Jouffret was a French artillery officer, insurance actuary and mathematician, author of Traité élémentaire de géométrie à quatre dimensions, a popularization of Henri Poincaré's Science and Hypothesis in which Jouffret described hypercubes and other complex polyhedra in four dimensions and projected them onto the two-dimensional page.
Woman with a Horse is a large oil painting created toward the end of 1911, early 1912, by the French artist Jean Metzinger (1883–1956). The work was exhibited in Paris at the Salon des Indépendants in 1912 and the Salon de la Section d'Or, 1912. The following year La Femme au Cheval was reproduced in The Cubist Painters, Aesthetic Meditations by Guillaume Apollinaire (1913).
Dancer in a Café is an oil painting created in 1912 by the French artist and theorist Jean Metzinger. The work was created while Metzinger and Albert Gleizes, in preparation for the Salon de la Section d'Or, were publishing, Du "Cubisme", the first major defense of the Cubist movement, and it was first displayed at the 1912 Salon d'Automne in Paris. The work proved controversial within the Municipal Council of Paris, causing debate in the Chambre des Députés about the use of public funds to exhibit such 'barbaric' art, with the Cubists being defended by the Socialist deputy Marcel Sembat.
Tea Time is an oil painting created in 1911 by the French artist and theorist Jean Metzinger. It was exhibited in Paris at the Salon d'Automne of 1911, and the Salon de la Section d'Or, 1912.
The Bathers {French: Les Baigneuses) is a large oil painting created at the outset of 1912 by the French artist Albert Gleizes. It was exhibited at the Salon des Indépendants in Paris during the spring of 1912; the Salon de la Société Normande de Peinture Moderne, Rouen, summer 1912; and the Salon de la Section d'Or, autumn 1912. The painting was reproduced in Du "Cubisme", written by Albert Gleizes and Jean Metzinger the same year: the first and only manifesto on Cubism. Les Baigneuses, while still 'readable' in the figurative or representational sense, exemplifies the mobile, dynamic fragmentation of form and multiple perspective characteristic of Cubism at the outset of 1912. Highly sophisticated, both in theory and in practice, this aspect of simultaneity would soon become identified with the practices of the Section d'Or group. Gleizes deploys these techniques in "a radical, personal and coherent manner". Purchased in 1937, the painting is exhibited in the permanent collection of the Musée d'Art Moderne de la Ville de Paris.
The Blue Bird is an oil painting created in 1912–1913 by the French artist and theorist Jean Metzinger. L'Oiseau bleu, one of Metzinger's most recognizable and frequently referenced works, was first exhibited in Paris at the Salon des Indépendants in the spring of 1913, several months after the publication of the first Cubist manifesto, Du "Cubisme", written by Jean Metzinger and Albert Gleizes (1912). It was subsequently exhibited at the 1913 Erster Deutscher Herbstsalon in Berlin.
Proto-Cubism is an intermediary transition phase in the history of art chronologically extending from 1906 to 1910. Evidence suggests that the production of proto-Cubist paintings resulted from a wide-ranging series of experiments, circumstances, influences and conditions, rather than from one isolated static event, trajectory, artist or discourse. With its roots stemming from at least the late 19th century, this period is characterized by a move towards the radical geometrization of form and a reduction or limitation of the color palette. It is essentially the first experimental and exploratory phase of an art movement that would become altogether more extreme, known from the spring of 1911 as Cubism.
Du "Cubisme", also written Du Cubisme, or Du « Cubisme », is a book written in 1912 by Albert Gleizes and Jean Metzinger. This was the first major text on Cubism, predating Les Peintres Cubistes by Guillaume Apollinaire (1913). The book is illustrated with black and white photographs of works by Paul Cézanne (1), Gleizes (5), Metzinger (5), Fernand Léger (5), Juan Gris (1), Francis Picabia (2), Marcel Duchamp (2), Pablo Picasso (1), Georges Braque (1), André Derain (1), and Marie Laurencin (2).
The Harbor, is a painting by the French artist Jean Metzinger. The work was exhibited in the spring of 1912 at the Salon des Indépendants in Paris, and at the Salon de La Section d'Or, Galerie La Boétie, October 1912, Paris,. Le Port was reproduced a few months later in the first major text on Cubism entitled Du "Cubisme", written in 1912 by Jean Metzinger and Albert Gleizes, published by Eugène Figuière Editeurs the same year. The Harbor was subsequently reproduced in The Cubist Painters, Aesthetic Meditations , written by Guillaume Apollinaire, published by Figuière in 1913. At the Salon des Indépendants of 1912, Apollinaire had noticed the classical Ingresque qualities of Metzinger's Le Port, and suggested that it deserved to be hung in the Musée du Luxembourg's modern art collection. The dimensions and current whereabouts of Le Port are unknown.
Passy, Bridges of Paris, also called Les ponts de Paris (Passy), or Paysage à Passy, is a painting created in 1912 by the French artist, theorist and writer Albert Gleizes. The work was exhibited at the Salon de la Société Normande de Peinture Moderne, Rouen, 1912 (titled Passy); the Salon de la Section d'Or, Galerie La Boétie, Paris, 1912 (titled Passy); Manes Moderni Umeni, Vystava, Prague, 1914 (titled Paysage à Passy); and Galerie Der Sturm, Berlin, July, 1914.
Bathers is a Proto-Cubist painting, now lost or missing, created circa 1908 by the French artist and theorist Jean Metzinger. Possibly exhibited during the spring of 1908 at the Salon des Indépendants. This black-and-white image of Metzinger's painting, the only known photograph of the work, was reproduced in Gelett Burgess, "The Wild Men of Paris", Architectural Record, May 1910. The painting was also reproduced in The New York Times, 8 October 1911, in an article titled "The 'Cubists' Dominate Paris' Fall Salon", and subtitled, "Eccentric School of Painting Increases Its Vogue in the Current Art Exhibition - What Its Followers Attempt to Do".
Woman with a Fan is an oil painting created in 1912 by the French artist and theorist Jean Metzinger (1883–1956). The painting was exhibited at the Salon d'Automne, 1912, Paris, and De Moderne Kunstkring, 1912, Amsterdam. It was also exhibited at the Musée Rath, Geneva, Exposition de cubistes français et d'un groupe d'artistes indépendants, 3–15 June 1913. A 1912 photograph of Femme à l'Éventail hanging on a wall inside the Salon Bourgeois was published in The Sun, 10 November 1912. The same photograph was reproduced in The Literary Digest, 30 November 1912.
Nature morte, or Compotier et cruche décorée de cerfs, is a Cubist painting by the French artist Jean Metzinger. It was exhibited at Exposició d'Art Cubista, Galeries Dalmau, Barcelona, 20 April – 10 May 1912. During this show—the first exhibition of Cubism in Spain—Metzinger's painting became one of the preferred targets of the press. It was exhibited again 1 – 15 April 1917 at Nya Konstgalleriet founded by the Italian Futurist Arturo Ciacelli in Stockholm. Nya Konstgalleriet was one of the three main galleries in Sweden responsible for promoting national and international modernism between 1915 and 1925. The painting would eventually be exhibited at Galerie Philippe Reichenbach, Houston, where it was acquired in 1960. In 2008 Nature morte was auctioned at Sotheby's in New York.
Les Peintres Cubistes, Méditations Esthétiques, is a book written by Guillaume Apollinaire between 1905 and 1912, published in 1913. This was the third major text on Cubism; following Du "Cubisme" by Albert Gleizes and Jean Metzinger (1912); and André Salmon, Histoire anecdotique du cubisme (1912).
Crystal Cubism is a distilled form of Cubism consistent with a shift, between 1915 and 1916, towards a strong emphasis on flat surface activity and large overlapping geometric planes. The primacy of the underlying geometric structure, rooted in the abstract, controls practically all of the elements of the artwork.
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