Shadows And Realities

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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The work " The Allegory of the Cave," also known as the Cave Allegory or Cave Parable, is an extremely intelligent allegory with a philosophical and pedagogical intent, written by the Greek philosopher Plato. It is found in the work "The Republic" and aims to exemplify how human beings can free themselves from the condition of darkness that imprisons them through the light of truth. It is a timeless text whose message fits perfectly into contemporary times when sectarian ideologies still permeate many societies. Furthermore, reading "The Allegory of the Cave" allows for a beneficial reflection by rescuing and presenting important philosophical values to readers.

A boy wants to know what shadows are. Discover interesting facts about shadows along with him: what makes a shadow, how does a shadow get bigger, what the colors of a shadow mean, and more.

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