Category Archives: Non Euclidean

The Geometrical State of the Universe

Posted on September 13, 2012 by PlatoHagel

Supernova Cosmology Project Dialogos of Eide

Posted in Curvature Parameters, dark energy, dark matter, False Vacuum, Non Euclidean | Tagged , , , , | Leave a comment

Process Fractal vs Geometry Fractals

Posted on July 19, 2012 by PlatoHagel

Let proportion be found not only in numbers, but also in sounds, weights, times and positions, and whatever force there is.Leonardo Da Vinci The Mandelbrot set, seen here in an image generated by NOVA, epitomizes the fractal. Photo credit: © … Continue reading →

Posted in Deep Play, Euclid, geometries, Giovanni Girolamo Saccheri, Heart, Non Euclidean, Quasicrystals | Tagged , , , , , , , | 15 Comments

Donald Coxeter

Posted on June 11, 2011 by PlatoHagel

Photo by Graham Challifour. Reproduced from Critchlow, 1979, p. 132. “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 … Continue reading →

Posted in Donald Coxeter, Euclid, Non Euclidean | Tagged , , , | Leave a comment

The Colour of Gravity

Posted on February 25, 2007 by PlatoHagel

I am not sure how this post is to unfold, yet in my mind different exercises were unfolding as to how I should explain it. Can I come from an artist’s perspective I wondered? Say “by chance” anything that seems … Continue reading →

Posted in Alchemists, Art, colorimetry, Colour of Gravity, Concepts, Dimension, Entanglement, Fuzzy Logic, Non Euclidean, Sensorium, Sir Isaac Newton, Synesthesia | Tagged , , , , , , , , , , , | Leave a comment

The Mathematikoi had Synesthesia?

Posted on January 28, 2007 by PlatoHagel

Pythagoreanism is a term used for the esoteric and metaphysical beliefs held by Pythagoras and his followers, the Pythagoreans, who were much influenced by mathematics and probably a main inspirational source for Plato and platonism. Later resurgence of ideas similar … Continue reading →

Posted in Colour of Gravity, Complexity, Euclid, Faraday, Gauss, General Relativity, House Building, Non Euclidean, Synesthesia | Tagged , , , , , , , , , | Leave a comment

Images or Numbers By Themself

Posted on January 6, 2007 by PlatoHagel

“Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the mind will never penetrate” (cited by Ivars Peterson … Continue reading →

Posted in Albrecht Durer, Einstein, Faraday, geometries, Gravity, imagery. gauss, Non Euclidean, Pascal, Photon, Riemann Hypothesis, Susskind | Tagged , , , , , , , , , , | Leave a comment

The Geometrics Behind the Supernova and it’s History

Posted on December 27, 2006 by PlatoHagel

It is not always easy for people to see what lies behind the wonderful beauty of images that we take from the satellite measures of space, and it’s dynamical events illustrated in Cassiopeia A. There before you is this majestic … Continue reading →

Posted in Analogies, Black Holes, Cosmic Rays, Gamma, Geometrics, Hubble, Non Euclidean, Standard model, Sun, SuperNova, SuperNovas | 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

Reaching for the Stars

Posted on December 6, 2006 by PlatoHagel

Mars in 6 weeks? And back in a total of four months? That’s the prediction of a design team working on antimatter rocket concepts at Pennsylvania State University. But first, you have to get the stuff – and store it. … Continue reading →

Posted in CERN, Collision, Concepts, Gamma, Gauss, Geometrics, lagrangian, Neutrinos, Non Euclidean, Particles, Stephen Hawking, Time Travel | Tagged , , , , , , , , , , , | Leave a comment

Ring World

Posted on December 5, 2006 by PlatoHagel

Impact armor, a flexible form of clothing that hardens instantly into a rigid form stronger than steel when rapidly deformed (for example, by the impact of a projectile such as a bullet) – a technology which is quickly approaching reality; … Continue reading →

Posted in Colour of Gravity, Concepts, Creativity, Geometrics, Gravity, Hulse, lagrangian, Memories, Non Euclidean, Particles, Satellites, Taylor | Tagged , , , , , , , , , , , | Leave a comment