Category Archives: Riemann Sylvestor surfaces

Riemann Makes Explicit what Lagrange Implied.

Posted on January 24, 2026 by PlatoHagel

1. What the Lagrangian perspective truly is The Lagrangian perspective does not ask: “What forces push an object at this point in space?” Instead, it asks: “Along which path does the system choose to move, given all constraints?” Motion is … Continue reading →

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The  Logic to Galactic-scale Transport Networks

Posted on January 24, 2026 by PlatoHagel

We will not imagine engines of fantasy, but extend a principle already proven true. 1. What must be preserved when scaling up When moving from the solar system to the galaxy, we must preserve relations, not mechanisms. The preserved ideas … Continue reading →

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Inspirations

Posted on March 8, 2012 by PlatoHagel

Inspired on Escher’s works. A free vision on how could be his workplace. I was made aware of This Youtube video by Clifford of Asymptotia. He also linked, Lines and Colors. Dialogos of Eide

Posted in Maurits Cornelis Escher, Riemann Sylvestor surfaces, Sir Roger Penrose, Topology | Tagged , , , | Leave a comment

Sacks Spiral

Posted on April 17, 2009 by PlatoHagel

Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and distribution of energy levels of a higher-ordered quantum state. Mathematics Problem … Continue reading →

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Nature’s Experiment on the Meaning of Weight

Posted on September 11, 2008 by PlatoHagel

“Dyson, one of the most highly-regarded scientists of his time, poignantly informed the young man that his findings into the distribution of prime numbers corresponded with the spacing and distribution of energy levels of a higher-ordered quantum state.” Mathematics Problem … Continue reading →

Posted in Calorimeters, Colour of Gravity, Heart, Hot Stove, Riemann Hypothesis, Riemann Sylvestor surfaces | 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