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Books > Science & Mathematics > Mathematics > Geometry
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Shadows of Reality - The Fourth Dimension in Relativity, Cubism, and Modern Thought (Hardcover)
Loot Price: R2,180
Discovery Miles 21 800
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Shadows of Reality - The Fourth Dimension in Relativity, Cubism, and Modern Thought (Hardcover)
Expected to ship within 12 - 19 working days
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A pioneering artist continues his visionary inquiry into hyperspace
In this insightful book, which is a revisionist math history as
well as a revisionist art history, Tony Robbin, well known for his
innovative computer visualizations of hyperspace, investigates
different models of the fourth dimension and how these are applied
in art and physics. Robbin explores the distinction between the
slicing, or Flatland, model and the projection, or shadow, model.
He compares the history of these two models and their uses and
misuses in popular discussions. Robbin breaks new ground with his
original argument that Picasso used the projection model to invent
cubism, and that Minkowski had four-dimensional projective geometry
in mind when he structured special relativity. The discussion is
brought to the present with an exposition of the projection model
in the most creative ideas about space in contemporary mathematics
such as twisters, quasicrystals, and quantum topology. Robbin
clarifies these esoteric concepts with understandable drawings and
diagrams. Robbin proposes that the powerful role of projective
geometry in the development of current mathematical ideas has been
long overlooked and that our attachment to the slicing model is
essentially a conceptual block that hinders progress in
understanding contemporary models of spacetime. He offers a
fascinating review of how projective ideas are the source of some
of today's most exciting developments in art, math, physics, and
computer visualization.
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