Dialogos of Eide/Home

  • Assess Geometric Relationships

    http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Geom/WKCGeom.html “On the Hypotheses which lie at the Bases of Geometry.Bernhard RiemannTranslated by William Kingdon Clifford [Nature, Vol. VIII. Nos. 183, 184, pp. 14–17, 36, 37.] Plan of the Investigation. It is known that geometry assumes, as things given, both the notion of space and the first principles of constructions in space. She gives definitions…

  • The Monad Speaks First by Geometric Design

    Interlocutor: Monad from the Greek word monos or μονάς (from the word μόνος, which means “one”, “single”, or “unique”), was a symbol referred by the Greek philosophers as “The First”, “The Seed”, “The Essence”, “The Builder”, and “The Foundation.” They also called it “Unity.” Source: “Divine Proportion” by Priya Hemenway, page 51. Could you elaborate…

  • Process Fractal vs Geometry Fractals

    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: © WGBH Educational Foundation  “Clouds are not spheres, mountains are not cones, coastlines are not circles,…

  • Where are my keys?

    “Yet I exist in the hope that these memoirs, in some manner, I know not how, may find their way to the minds of humanity in Some Dimensionality, and may stir up a race of rebels who shall refuse to be confined to limited Dimensionality.” from Flatland, by E. A. Abbott The Extra-Dimensions? So you…

  • Hyperbolic Geometry and it’s Rise

    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 earlier been attempted by Menaechmus and others, Khayyám provided a generalization extending it to all…

  • Big Ideas…..To String Theory

    Plato said: yes to Gauss and gaussian coordinates, not forgetting, Saccheri, Bolyai and Lobschevasky along this lineage of geometers On the Hypotheses which lie at the Bases of Geometry So A continuation from this, and reference to important papers for consideration. I was actually looking for papers on S.S.Chern and I have been having difficulty…

  • On the Hypothese at the foundations of Geometry

    I am trying to make my case on the greatest physics paper over at Cosmic Variance. One notices the slight misinterpretation I assigned, “geometical propensity to physics” that the case is more then just physi,s but the limmerack added envisioned, over such a paper that leads into physics.:) I see no difference now. So I…

  • Where to Now?

    Once you see parts of the picture, belonging to the whole, then it becomes clear what a nice picture we will have?:) I used it originally for the question of the idea of a royal road to geometry, but have since progressed. If you look dead center Plato reveals this one thing for us to…

  • No Royal Road to Geometry?

    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 those of Theatetus, and putting in irrefutable demonstrable form propositions that had been rather loosely…