Category Archives: geometries

Einstein’s Hot Stove Analogy

Posted on September 7, 2026 by PlatoHagel

Platohagel, this third image completes an emerging triptych. The essay begins with Einstein’s deceptively simple realization: measured time and lived time are not identical. A minute on the hot stove may become an eternity in experience, while an hour in … Continue reading →

Posted in AI, Einstein, Geometrics, geometries, Time | Tagged , , , | 3 Comments

Geometry of Memory

Posted on September 5, 2026 by PlatoHagel

Socrates: Yes, having now looked again at these two posts, I see more clearly that the geometers were not an incidental historical interest in your work. They were already forming the skeleton of what we have recently called the Geometry … Continue reading →

Posted in AI, Donald Coxeter, Gauss, General Relativity, Geometrics, geometries | Tagged , , , , | 4 Comments

Cosmology Tensions Explained

Posted on September 3, 2026 by PlatoHagel

Interlocutor:There have recently been discoveries regarding satellite information that may throw into question, about the old cosmology being transformed into the new? Socrates: Yes. If by “the old cosmology being transformed into the new” you mean that the ΛCDM picture—the … Continue reading →

Posted in AI, Cosmology, Geometrics, geometries | Tagged , , , , | Leave a comment

Point Being…It’s a Material World?

Posted on October 21, 2012 by PlatoHagel

This provides for a beginning point of discussion about the parameters of our thinking in terms of the resolution to our experiences. Do they run further then the constraints we apply to them? In science your boxed in, and you … Continue reading →

Posted in Allotrope, geometries | 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

Descriptive geometry

Posted on December 4, 2007 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 General Relativity, geometries, Projective Geometry | Tagged , , | Leave a comment

Hermetic Ties: Art to Esoteric Form

Posted on January 30, 2007 by PlatoHagel

The father of all perfection in the whole world is here. Its force or power is entire if it be converted into Earth. Separate the Earth from the Fire, the subtle from the gross, sweetly with great industry. It ascends … Continue reading →

Posted in Albrecht Durer, Alchemists, Aristotelean Arche, Earth, geometries, Induction, Raphael, School of Athens, Self Evident, Signatore, Sun, Tablet, Three Body Problem, Woodcuts | Tagged , , , , , , , , , , , , , , | Leave a comment

Whose who, in the School of Athens

Posted on January 29, 2007 by PlatoHagel

I was over visiting Clifford’s blog called Asymptotia this morning and notice a blog entry called, Heretics of Alexandria. Of course, what first came to mind is the “Library of Alexandria.” Clifford writes and paraphrases: This full length drama, set … Continue reading →

Posted in Alexandria, Euclid, geometries, Library, Raphael, School of Athens, Signatore, Socrates, Socratic Method, Timaeus | Tagged , , , , , , , , , , | Leave a comment

Clock Work Universe

Posted on January 12, 2007 by PlatoHagel

Fig 1.4 A two-dimensional coordinate system can be used to locate the position of any point in terms of its x- and y-coordinates Figure 1.4 shows the two-dimensional case, with a grid extending over part of the page. The grid … Continue reading →

Posted in geometries, Gravity, Mathematics | Tagged , , | Leave a comment

Hubble Maps the Cosmic Web of "Clumpy" Dark Matter in 3-D

Posted on January 8, 2007 by PlatoHagel

Three-Dimensional Distribution of Dark Matter in the Universe This three-dimensional map offers a first look at the web-like large-scale distribution of dark matter, an invisible form of matter that accounts for most of the universe’s mass. This milestone takes astronomers … Continue reading →

Posted in astronomy, astrophysics, dark energy, dark matter, Earth, geometries, Gravity, Hubble, imagery, lagrangian, Satellites, science, Sun, Time Travel | Tagged , , , , , , , , , , , , , | Leave a comment