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The Artist's Comments on the Z-Squared Tetraview

This is one of three "Tetraviews", each showing an assembly of five images, two smaller squares partially obscured by opposite corners of a large central square, which has its other two corners partially obscured by two squares of medium size. The display is inspired by the work of the artist Hans Hofmann, who began in the Bauhaus School. The five images are different views of a single surface in four-dimensional space, and the four corners show projections into the four coordinate hyperplanes. The dominant fifth image is in equilibrium, in a real sense the average of the other four. The ability to navigate between any two of these views is crucial for the understanding of the surface, according to the article "Understanding Complex Function Graphs" by the authors in the prototype volume of the totally electronic journal Communications in Visual Mathematics, sponsored by the Mathematical Association of America and the National Science Foundation.

Surfaces Beyond the Third Dimension
Last modified: 08 Oct 2000 08:18:40
Comments to: Thomas F. Banchoff
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