Category Archives: Donald Coxeter

Questions on the History of Mathematics

Posted on May 14, 2012 by PlatoHagel

Arthur MillerEinstein and Schrödinger never fully accepted the highly abstract nature of Heisenberg’s quantum mechanics, says Miller. They agreed with Galileo’s assertion that “the book of nature is written in mathematics”, but they also realized the power of using visual … Continue reading →

Posted in Ashmolean Museum, Dimension, Donald Coxeter, E8, Mathematics | Tagged , , , , | Leave a comment

Model Building in Life

Posted on April 20, 2012 by PlatoHagel

“…underwriting the form languages of ever more domains of mathematics is a set of deep patterns which not only offer access to a kind of ideality that Plato claimed to see the universe as created with in the Timaeus; more … Continue reading →

Posted in Antony Garrett Lisi, Donald Coxeter, kaleidoscope, Liminocentric, Mandalas, Mind Maps, Plato's Cave | Tagged , , , , , , | Leave a comment

Donald Coxeter

Posted on June 11, 2011 by PlatoHagel

Photo by Graham Challifour. Reproduced from Critchlow, 1979, p. 132. “I’m a Platonist — a follower of Plato — who believes that one didn’t invent these sorts of things, that one discovers them. In a sense, all these mathematical facts … Continue reading →

Posted in Donald Coxeter, Euclid, Non Euclidean | Tagged , , , | Leave a comment

Raindrops

Posted on January 20, 2009 by PlatoHagel

I dunno. After some thinking, how is it one can think that such an abstraction could descend into the modern mind, and think it reveals the idea of nature in expression? It’s just an artistic interpretation then, nothing more? The … Continue reading →

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Who said it?

Posted on June 8, 2008 by PlatoHagel

At this point in the development, although geometry provided a common framework for all the forces, there was still no way to complete the unification by combining quantum theory and general relativity. Since quantum theory deals with the very small … Continue reading →

Posted in Cayley, Donald Coxeter, Euclid, Gauss, HENRI POINCARE, Riemann Sylvestor surfaces, Self Evident | Tagged , , , , , , | Leave a comment

Theoretical Excellence

Posted on February 12, 2008 by PlatoHagel

Although Aristotle in general had a more empirical and experimental attitude than Plato, modern science did not come into its own until Plato’s Pythagorean confidence in the mathematical nature of the world returned with Kepler, Galileo, and Newton. For instance, … Continue reading →

Posted in Allotrope, Aristotelean Arche, Cayley, Donald Coxeter, Holonomy, Polytopes, Robert B. Laughlin, Self Evident, Self-Organization, Sylvester Surfaces | Tagged , , , , , , , , , | 2 Comments

E8 and the Blackhole

Posted on September 22, 2007 by PlatoHagel

“I’m a Platonist — a follower of Plato — who believes that one didn’t invent these sorts of things, that one discovers them. In a sense, all these mathematical facts are right there waiting to be discovered.”Donald (H. S. M.) … Continue reading →

Posted in Donald Coxeter, E8, Finiteness in String theory Landscape, Holonomy, Landscape, Topology | Tagged , , , , , , | Leave a comment

Pasquale Del Pezzo and E8 Origination?

Posted on March 20, 2007 by PlatoHagel

“I’m a Platonist — a follower of Plato — who believes that one didn’t invent these sorts of things, that one discovers them. In a sense, all these mathematical facts are right there waiting to be discovered.“Donald (H. S. M.) … Continue reading →

Posted in Babar, Cayley, Colour of Gravity, Donald Coxeter, E8, George Gabriel Stokes, Grace, Holonomy, Ingenuity, Polytopes, Projective Geometry, Sylvester Surfaces, Topology | Tagged , , , , , , , , , , , , , | Leave a comment

Donald Coxeter: The Man Who Saved Geometry

Posted on September 11, 2006 by PlatoHagel

“I’m a Platonist — a follower of Plato — who believes that one didn’t invent these sorts of things, that one discovers them. In a sense, all these mathematical facts are right there waiting to be discovered.”Harold Scott Macdonald (H. … Continue reading →

Posted in Art, Coxeter, Dirac, Donald Coxeter, Earth, Einstein, General Relativity, Geometrics, geometries, M Theory, Mathematics, Memories, Polytopes, Sun | Tagged , , , , , , , , , , , , , , | Leave a comment