Tag Archives: geometries

Special Lagrangian geometry

Posted on June 29, 2005 by PlatoHagel

Dr. Mark Haskins On a wider class of complex manifolds – the so-called Calabi-Yau manifolds – there is also a natural notion of special Lagrangian geometry. Since the late 1980s these Calabi-Yau manifolds have played a prominent role in developments … Continue reading →

Posted in Branes, Complexity, Dimension, geometries, Gravity, Kaluza, KK Tower, Klein, lagrangian, M Theory, Non Euclidean, Strange Matter, String Theory, Supersymmetry, Sylvester Surfaces, Symmetry, Topology | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Michael Faraday

Posted on June 13, 2005 by PlatoHagel

Michael Faraday (September 22, 1791 – August 25, 1867) was a British scientist (a physicist and chemist) who contributed significantly to the fields of electromagnetism and electrochemistry. While it is always nice to see history in it’s developemental stages, it … Continue reading →

Posted in CERN, Einstein, Faraday, geometries, Liminocentric, Mathematics, Non Euclidean, Standard model | Tagged , , , , , , , | Leave a comment

Three Sphere

Posted on June 9, 2005 by PlatoHagel

There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world. — Nikolai Lobachevsky Bernhard Riemann once claimed: “The value of non-Euclidean geometry lies in its ability to liberate us … Continue reading →

Posted in Dimension, General Relativity, geometries, HENRI POINCARE, M Theory, Mathematics, Non Euclidean, Riemann Hypothesis, Topology | Tagged , , , , , , , , | Leave a comment

Music in Plato’s Academy

Posted on June 3, 2005 by PlatoHagel

Academy was a suburb of Athens, named after the hero Academos or Ecademos. The site was continuously inhabited from the prehistoric period until the 6th century A.D. During the 6th century B.C., one of the three famous Gymnasiums of Athens … Continue reading →

Posted in Art, Brain, Euclid, geometries, Mathematics, Music, School of Athens, Sound | Tagged , , , , , , , | Leave a comment

Wunderkammern

Posted on June 1, 2005 by PlatoHagel

For me this is a wonderful view of abstraction, that had gone into model making, to help those less inclined to “the visonistic qualities of those same abstractions.” Shown here are the models in the mathematical wunderkammer located in the … Continue reading →

Posted in Albrecht Durer, geometries, Gravity, Mathematics, Max Tegmark, Quantum Gravity, String Theory, Sylvester Surfaces, Thomas Banchoff, WunderKammern | Tagged , , , , , , , , , | Leave a comment

Mathematical Enlightenment

Posted on May 28, 2005 by PlatoHagel

This enlightenment experience is a realization about the nature of the mind which entails recognizing it (in a direct, experiential way) as liminocentrically organized. The overall structure is paradoxical, and so the articulation of this realization will ‘transcend’ logic – … Continue reading →

Posted in Brain, Dimension, Earth, General Relativity, geometries, Gravity, Loop Quantum, Mathematics, Non Euclidean, Nothing, Quantum Gravity, Strange Matter, String Theory, Time Variable Measure, Topology | 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

Spheres Instead of Circles

Posted on May 20, 2005 by PlatoHagel

This is a torus (like a doughnut) on which several circles are located. Unlike on a Euclidean plane, on this surface it is impossible to determine which circle is inside of which, since if you go from the black circle … Continue reading →

Posted in Dimension, Einstein, geometries, Topology | Tagged , , , | Leave a comment

Topo-sense?

Posted on May 19, 2005 by PlatoHagel

Michael Persinger has a vision – the Almighty isn’t dead, he’s an energy field. And your mind is an electromagnetic map to your soul. Persinger’s research forays are at the very frontier of the roiling field of neuroscience, the biochemical … Continue reading →

Posted in Brain, Brian Greene, Concepts, Dimension, Einstein, geometries, Gravity, Higgs, Induction, Mathematics, Metaphors, planck, Quantum Gravity, String Theory, Topology | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

Visualization: Changing Perspective

Posted on May 12, 2005 by PlatoHagel

I give some perspective on “image use and artistic expression.” But such journeys are not limited to the “ideas of a book” or “a painting” in some form of geometric code. Some will remember Salvador Dali picture I posted. I … Continue reading →

Posted in Art, Arthur Young, Birds, Colour of Gravity, Cosmology, Dimension, Earth, Einstein, geometries, Gravity, Heisenberg, HENRI POINCARE, Marcel Duchamp, Membrane, Non Euclidean, Nothing, Quantum Gravity, Veneziano | Tagged , , , , , , , , , , , , , , , , , | Leave a comment