Quotes About Non-Euclidean

There is no geometry here; or rather there is a secret, infinitely non-Eucledian and subtle geometry, a secret harmony that the mind seizes before the intelligence.

I was a cuckold present at his wife's adultery. This was a triangular relationship with one actor playing two parts. If one were to make a drawing of "me," "the mask, that is, the other me," and "you," it would be a non-Euclidean triangular relationship, existing on a single straight line.

The once-surprising existence of non-Euclidean models of Euclid's first four axioms can be seen as a sort of mathematical joke.

Of the two alternatives - a curved manifold in a Euclidean space of ten dimensions or a manifold with non-Euclidean geometry and no extra dimensions - which is right? I would rather not attempt a direct answer, because I fear I should get lost in a fog of metaphysics. But I may say at once that I do not take the ten dimensions seriously; whereas I take the non-Euclidean geometry of the world very seriously, and I do not regard it as a thing which needs explaining away.

He said that the geometry of the dream-place he saw was abnormal, non-Euclidean, and loathsomely redolent of spheres and dimensions apart from ours.

Todo porque se le mezclan las realidades y los recuerdos de una manera sumamente no-euclidiana.

Non- Euclidean calculus and quantum physics are enough to stretch any brain; and when one mixes them with folklore, and tries to trace a strange background of multi-dimensional reality behind the ghoulish hints of Gothic tales and the wild whispers of the chimney-corner, one can hardly expect to be wholly free from mental tension. (Dreams In The Witch-House)

every possible Euclidean and non-Euclidean permutation of lights; ten thousand lights, ten million lights, the ten billion lights of Great Yu, each one a voice calling, "I is what I am! Notice me! Notice me!

Non-Euclidean calculus and quantum physics are enough to stretch any brain; and when one mixes them with folklore, and tries to trace a strange background of multi-dimensional reality behind the ghoulish hints of Gothic tales and the wild whispers of the chimney-corner, one can hardly expect to be wholly free from mental tension.

This picture of matter curving space and curvaceous space dictating how matter and light will move has several striking features. It brings the non-Euclidean geometries that we talked about in the last chapter out from the library of pure mathematics into the arena of science. The vast collection of geometries describing spaces that are not simply the flat space of Euclid are the ones that Einstein used to capture the possible structures of space distorted by the presence of mass and energy.

By introducing non-Euclidean geometry to theoretical physics, Einstein would transform the field in extraordinary ways. The twelve-year-old clutching the geometry book would have no ways of knowing that his very hands would someday rewrite physical laws in a way that made the book obsolete.