Category Archives: Euclid

Hyperbolic Geometry and it’s Rise

Posted on April 7, 2006 by PlatoHagel

Omar Khayyám the mathematician(6 april 2006 Wikipedia) He was famous during his lifetime as a mathematician, well known for inventing the method of solving cubic equations by intersecting a parabola with a circle. Although his approach at achieving this had … Continue reading →

Posted in Euclid, Gauss, geometries, Giovanni Girolamo Saccheri, imagery, Mathematics, Non Euclidean, Riemann Hypothesis | Tagged , , , , , , , | Leave a comment

On Gauss’s Mountain

Posted on March 26, 2006 by PlatoHagel

You must understand that any corrections necessary are appreciated. The geometrical process spoken too here must be understood in it’s historical development to undertand, how one can see differently. Euclidean geometry, elementary geometry of two and three dimensions (plane and … Continue reading →

Posted in Concepts, Earth, Euclid, Gauss, geometries, imagery, Interferometer, Non Euclidean, Projective Geometry, Riemann Hypothesis, VLBI | Tagged , , , , , , , , , , | 2 Comments

Roots, and the Rings of History

Posted on February 26, 2006 by PlatoHagel

The jump from conventional field theories of point-like objects to a theory of one-dimensional objects has striking implications. The vibration spectrum of the string contains a massless spin-2 particle: the graviton. Its long wavelength interactions are described by Einstein’s theory … Continue reading →

Posted in Earth, Einstein, Euclid, General Relativity, geometries, Graviton, Gravity, Kandinsky, Leonard Mlodinow, Music, Particles, Quantum Gravity, Sound, String Theory, Susskind | Tagged , , , , , , , , , , , , , , | Leave a comment

Projective Geometries

Posted on October 7, 2005 by PlatoHagel

Action at a Distance Now ths statement might seem counterproductive to the ideas of projective geometry but please bear with me. In physics, action at a distance is the interaction of two objects which are separated in space with no … Continue reading →

Posted in Concepts, Dirac, Einstein, Entanglement, Euclid, geometries, Glast, Gluon, Gravity, John Venn, M Theory, Mathematics, Particles, Perfect Fluid, Phase Transitions, Photon, planck, Projective Geometry, Quantum Gravity, Quark Gluon PLasma, Smolin, Strange Matter, Symmetry, Symmetry Breaking, Venn | Tagged , , , , , , , , , , , , , , , , , , , , , , , , | 1 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

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

Inverse Fourth Power Law

Posted on December 3, 2004 by PlatoHagel

By moving our perceptions to fifth dimenisonal views of Kaluza and KLein, I looked at methods that would help me explain that strange mathematical world that I had been lead too geometrically. If such a bulk existed, then how would … Continue reading →

Posted in Dimension, Emergence, Euclid, Game Theory, geometries, Gravity, Inverse Square Law, Kaluza, Klein, Microscopic Blackholes, Particles, Quantum Gravity, Quark Confinement, Quarks, Strange Matter, String Theory | Tagged , , , , , , , , , , , , , , , | Leave a comment

No Royal Road to Geometry?

Posted on November 26, 2004 by PlatoHagel

All those who have written histories bring to this point their account of the development of this science. Not long after these men came Euclid, who brought together the Elements, systematizing many of the theorems of Eudoxus, perfecting many of … Continue reading →

Posted in Einstein, Euclid, Euler, General Relativity, geometries, Giovanni Girolamo Saccheri, Gravity, Loop Quantum, Mathematics, Music, Projective Geometry, Quantum Gravity, Summing over Histories | Tagged , , , , , , , , , , , , | Leave a comment