Category Archives: Polytopes

13th Sphere of the GreenGrocer

Posted on July 18, 2008 by PlatoHagel

I suppose you are two fathoms deep in mathematics,and if you are, then God help you, for so am I,only with this difference,I stick fast in the mud at the bottom and there I shall remain.–Charles Darwin How nice that … Continue reading →

Posted in Coxeter, E8, Polytopes | 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

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

Art and Science

Posted on October 15, 2005 by PlatoHagel

This is going to be quite the blog entry because as little a response might have been from Clifford’s links to artistic imagery and it’s relation to science. I definitely have more to say. So being short of time, the … Continue reading →

Posted in Art, Branes, Colour of Gravity, Curvature Parameters, Dimension, Einstein, Gauss, geometries, Graviton, Gravity, Heisenberg, HENRI POINCARE, Inverse Square Law, Non Euclidean, Polytopes | Tagged , , , , , , , , , , , , , , | Leave a comment

The Sound of the Landscape

Posted on December 29, 2004 by PlatoHagel

Ashmolean Museum, Oxford, UK As you know my name is Plato (The School of Athens by Raphael:)I have lived on for many years now, in the ideas that are presented in the ideas of R Buckminister Fuller, and with the … Continue reading →

Posted in Ashmolean Museum, Dimension, Earth, Euclid, geometries, Landscape, M Theory, Music, nodal, Polytopes, Raphael, School of Athens, Sound, String Theory, Susskind | Tagged , , , , , , , , , , , , , , | Leave a comment

Tesseract

Posted on November 8, 2004 by PlatoHagel

In geometry, the tesseract, or hypercube, is a regular, convex polychoron with eight cubical cells. It can be thought of as a 4-dimensional analogue of the cube. Roughly speaking the tesseract is to the cube as the cube is to … Continue reading →

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