Category Archives: Euclid

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: © … Continue reading

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

Donald Coxeter

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 | Leave a comment

Galileo Galilei’s Balance

Let proportion be found not only in numbers, but also in sounds, weights, times and positions, and whatever force there is.Leonardo Da Vinci Can it be said that measure has ever left the mind of those whose age has come … Continue reading

Posted in Books, Deep Play, Euclid | 1 Comment

Who said it?

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 | Leave a comment

Ueber die Hypothesen, welche der Geometrie zu Grunde liegen.

As I pounder the very basis of my thoughts about geometry based on the very fabric of our thinking minds, it has alway been a reductionist one in my mind, that the truth of the reality would a geometrical one. … Continue reading

Posted in Einstein, Emergence, Euclid, General Relativity, HENRI POINCARE | Leave a comment

Housebuilding

It all start off as “a dream” or “an idea.” Where do these come from? Dialogos of Eide This is the house similar to what we will be constructing, with some modifications of course. Most know of my time helping … Continue reading

Posted in Blank Slate, Colour of Gravity, Deep Play, Euclid, Foundation, House Building, Library, Liminocentric, Mandalas, Raphael, School of Athens, Signatore, Topology, Toposense | Leave a comment

Whose who, in the School of Athens

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 | Leave a comment

The Mathematikoi had Synesthesia?

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 | Leave a comment

Mersenne Prime: One < the Power of two

It looks as though primes tend to concentrate in certain curves that swoop away to the northwest and southwest, like the curve marked by the blue arrow. (The numbers on that curve are of the form x(x+1) + 41, the … Continue reading

Posted in Computers, Cosmology, Curvature Parameters, Euclid, Euler, Imagery dimension, Mathematics, Powers of Ten, Ramanujan, Riemann Hypothesis | Leave a comment

Numerical Relativity and Math Transference

Part of the advantage of looking at computer animations is knowing that the basis of this vision that is being created, is based on computerized methods and codes, devised, to help us see what Einstein’s equations imply. Now that’s part … Continue reading

Posted in Black Holes, Collision, Computers, Condense Matter, Condensed Matter, Dirac, Einstein, Euclid, Foundation, General Relativity, geometries, Non Euclidean, Numerical Relativity, Raphael | Leave a comment