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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
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
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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
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
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
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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
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
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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
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
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