Quotes About Geometry

Beauty cannot be defined by abscissas and ordinates; neither are circles and ellipses created by their geometrical formulas.

A calculation, in fact, demonstrates that without nodes, physical space has no volume. In other words, it is in the nodes of the graph, not in the lines, that the volume of space "resides." The lines "link together" individual volumes sitting at the nodes.

the incessant happening that wearies the world is not ordered along a time line, is not measured by a gigantic ticktocking. It does not even form a four-dimensional geometry. It is a boundless and disorderly network of quantum events. The world is more like Naples than Singapore.

Quantum uncertainty across the horizon of the black hole generates fluctuations of the horizon geometry. But "fluctuations" imply "probability," and probability implies thermodynamics, and therefore temperature. Concealing from us a part of the universe, a black hole makes its quantum fluctuations detectable in the form of heat.

The shortest distance between two points is a straight line.

The two elements the traveler first captures in the big city are extra human architecture and furious rhythm. Geometry and anguish.

Graphic Design, which fulfills aesthetic needs, complies with the laws of form and exigencies of two-dimensional space; which speaks in semiotics, sans-serifs, and geometrics; which abstracts, transforms, translates, rotates, dilates, repeats, mirrors, groups, and regroups, is not good design if it is irrelevant.

The Creator, the fountain of all wisdom, the approver of perpetual order, the eternal and superessential spring of geometry and harmonics.

In 1958, Fortune singled Nash out for his achievements in game theory, algebraic geometry, and nonlinear theory

The proof of Euclidean geometry's consistency eluded mathematicians. By the end of the nineteenth century, the best that was achieved was a proof that Euclidean geometry was consistent as long as arithmetic was consistent.

By the end of the nineteenth century, the best that was achieved was a proof that Euclidean geometry was consistent as long as arithmetic was consistent.

For a physicist or a mathematician, the most symmetrical object you could think about would be a sphere, because it looks identical no matter what you do to it, however you rotate it in any given direction.

I would love to meet or work with Sofia Coppola. Or Wes Anderson or Spike Jonze. I'd love to meet them. The way they film, it's all so geometric.

He is unworthy of the name of man who is ignorant of the fact that the diagonal of a square is incommensurable with its side.

Modern man lives more and more in a preponderantly geometric order. All human creation mechanical or industrial is dependent upon geometric intentions.

Leibniz is at the disadvantage of not having seen it. Or perhaps we should count this as an advantage, for anyone who sees it is dumbfounded by the brilliance of the geometry, and it is difficult to criticize a man's work when you are down on your knees shielding your eyes.

Our brains are flies, bats, and worms that clumped together for mutual advantage. These parts of our brains are talking to each other all the time. Translating what they perceive, moment to moment, into the shared language of geometry. That's what a brain is. That's what it is to be conscious.

A major street intersects, at something other than a ninety-degree angle, a smaller commercial street, defining two (smaller) acute-angle lots and two (larger) obtuse-angle lots. On one side of the major street, the obtuse-angle lot is occupied by a two-storey office building

And once the lens was finally exposed, pure geometric equation made real, so powerful and vulnerable at once, Hiro could only think it was like nuzzling through skirts and lingerie and out labia and inner labia....It made him feel naked and weak and brave.

fueron capaces de señalar que si los triángulos tuvieran dioses, sus dioses tendrían tres lados

Geometry is deceptive; the hurricane alone is trustworthy.

THE MANDELBROT SET IS the most complex object in mathematics, its admirers like to say. An eternity could not be enough time to see it all, its disks studded with prickly thorns, its spirals and filaments curling outward and around, bearing bulbous molecules that hang, infinitely variegated, like grapes on God's personal vine.

Mandelbrot saw a seemingly smooth boundary resolve itself into a chain of spirals like the tails of sea horses. The irrational fertilized the rational.

One simple but powerful consequence of the fractal geometry of surfaces is that surfaces in contact do not touch everywhere. The bumpiness at all scales prevents that. Even in rock under enormous pressure, at some sufficiently small scale it becomes clear that gaps remain, allowing fluid to flow.