Category Archives: Cayley

Nature is the Architect

…..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 | Leave a comment

Who said it?

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 | Leave a comment

Theoretical Excellence

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 | 1 Comment

Solidification of Geometrical Presence

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 | Leave a comment

Pasquale Del Pezzo and E8 Origination?

“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 | Leave a comment

IN Search of Mandelstam’s Holy Grail

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 | Leave a comment

Visual Abstraction to Equations

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 | Leave a comment

Beyond the Dance of the Sun

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 | Leave a comment

Sylvester’s Surfaces

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 | Leave a comment