Category Archives: Cayley

Nature is the Architect

Posted on February 17, 2009 by PlatoHagel

…..and we are it’s builders? So beyond indeed, is the static realization of the structure of things. This is a more definable recognition of something that is very fluid and expressive. It is by our own humanistic natures that we … Continue reading →

Posted in Albrecht Durer, Cayley, Colour of Gravity, Compactification, Dimension, Imagery dimension | Tagged , , , , , | Leave a comment

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

Solidification of Geometrical Presence

Posted on March 23, 2007 by PlatoHagel

While I might infer the “attributes of Coxeter here,” it is with the understanding such a dimensional perspective which has it’s counterpart in the result of what manifests as matter creations. Yet we have taken our views down to the … Continue reading →

Posted in Allotrope, Cayley, Condense Matter, Coxeter, E8, Laughlin, Nanotechnology, Sylvester Surfaces | 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

IN Search of Mandelstam’s Holy Grail

Posted on March 14, 2007 by PlatoHagel

There are two posts that reflect the purpose of this post today. One is Clifford’s linked through Lee Smolin’s comment and the other, at Backreaction. Good Physics is Conflict A lot of you may never understand the significance of the … Continue reading →

Posted in Ashmolean Museum, Cayley, Finiteness in String theory Landscape, Gauss, Mandelstam, Summing over Histories, Sylvester Surfaces, Witten, WunderKammern | Tagged , , , , , , , , | Leave a comment

Visual Abstraction to Equations

Posted on December 13, 2006 by PlatoHagel

Sylvester’s models lay hidden away for a long time, but recently the Mathematical Institute received a donation to rescue some of them. Four of these were carefully restored by Catherine Kimber of the Ashmolean Museum and now sit in an … Continue reading →

Posted in Art, Ashmolean Museum, Brain, Cayley, Gauss, Holonomy, Imagery dimension, Mandelstam, Mathematics, Non Euclidean, Riemann Hypothesis, String Theory, WunderKammern | Tagged , , , , , , , , , , , , | Leave a comment

Beyond the Dance of the Sun

Posted on September 6, 2006 by PlatoHagel

When we first start facing truth, the process may be frightening, and many people run back to their old lives. But if you continue to seek truth, you will eventually be able to handle it better. In fact, you want … Continue reading →

Posted in Cayley, Helioseismology, Holonomy, Plato's Cave, SOHO, Sun, WunderKammern | Tagged , , , , , , | Leave a comment

Sylvester’s Surfaces

Posted on May 21, 2005 by PlatoHagel

Figure 2. Clebsch’s Diagonal Surface: Wonderful. We are told that “mathematics is that study which knows nothing of observation…” I think no statement could have been more opposite to the undoubted facts of the case; that mathematical analysis is constantly … Continue reading →

Posted in Analogies, Ashmolean Museum, Brain, Cayley, Dimension, geometries, Gravity, Induction, Mathematics, Nothing, Sound, String Theory, Sylvester Surfaces | Tagged , , , , , , , , , , , , | Leave a comment