THE FOURTH DIMENSION & NON-EUCLIDEAN GEOMETRY

IN MODERN ART

Massimo MeoID: 2032090September 12, 2012

By: Linda Dalrymple Henderson

THE FOURTH DIMENSION

4th Dimension Time is now considered another

dimension, the fourth dimension.Working with the foundational three dimensions,Y, X, & Z coordinates.

Popularity grew through the 1920s Attributed to “The Theory of Relativity”, put

forth by Albert Einstein. Cubism refers to this forth dimension

when two or more perceptions are combined.

ARTISTS OF THE FOURTH

DIMENSION

Pablo Picasso,Les Demoiselles1907

Frantisek KupkaFugue in Two Colors1912

Umberto BoccioniThe Streets Enter the House1911

Gino Severini, The Boulevard 1911

Piet Mondrian,Rhythm of Black Lines 1935

MODERN MOVEMENTS &

THE FOURTH DIMENSION

Analytical Cubist Pablo Picasso,Portrait of Wilhelm Uhde,1910

Synthetic Cubism Pablo Picasso,Window Opened to the Street Penthieure,1920

Italian FuturismUmberto Boccioni,Unique forms of Continuity in Space1913

Russian Futurism

Mikhail Larionov, Dancer in Motion 1913

Natalia Goncharova, Cyclist1913

SuprematismKazimir Malevich,Black Square1915

Other movements include Constructivism American Modernists

StieglitzArensberg

Dadaists Members of De Stijl

Non-Euclidean Geometry Not as popular as the 4th dimension

theory. Metric requirements are not important. Hyperbolic & Elliptic lines are used. New creative freedoms Alternative space.

EXAMPLES OF NON-EUCLIDEAN ARTISTS

El Lissitzky, "Beat the Whites with the Red Wedge!” 1919

Jean Metzinger, Globe and Banjo 1930

Albert Gleizes, Harvest Threshing 1912