Quotes About Geometry

Thus the pure archetypal harmonies, and their echoes, the musical consonances, are generated by dividing the circle by means of construable, regular polygons; wheras the 'unspeakable' polygons produce discordant sounds, and are useless in the scheme of the universe.

Let us begin by saying that no two symmetriads are alike and that the geometry of each is, as it were, an "invention" of the living ocean. So then, the symmetriad produces in its interior things that are often called "instant machines," though these formations bear no resemblance to machines constructed by people — the term only refers to a certain "mechanical" purposiveness of operation.

POLYHYMNIA was the Muse of hymns, of sacred music, dance, poetry, and rhetoric as well as—slightly randomly one might think—agriculture, pantomime, geometry, and meditation. I suppose today we would call her "the Muse of mindfulness.

an elipse is an elongated circle

The Greeks even had a third argument that the earth must be round, for why else does one first see the sails of a ship coming over the horizon, and only later see the hull?

Luis Barragan: simple, geometric, rectangular forms, walls with bright colours, shafts of light. Tadao Ando: natural light and contexts, zen-like experiences. Friedensreich Hundertwasser: human, in harmony with nature. Rafael Moneo: simple geometric massing, masonry. Glenn Murcutt: minimalist, vernacular. Kengo Kuma: traditional aesthetics, natural materials.

The cowboys have a way of trussing up a steer or a pugnacious bronco which fixes the brute so that it can neither move nor think. This is the hog-tie, and it is what Euclid did to geometry.

The full impact of the Lobachevskian method of challenging axioms has probably yet to be felt. It is no exaggeration to call Lobachevsky the Copernicus of Geometry [as did Clifford], for geometry is only a part of the vaster domain which he renovated; it might even be just to designate him as a Copernicus of all thought.

Projective geometry has opened up for us with the greatest facility new territories in our science, and has rightly been called a royal road to its own particular field of knowledge. —FELIX KLEIN

The interior of the Zigana Mosque, a beehivelike geodesic dome composed of pointed arches of honey-colored stone, was based on al-Biruni's sacred geometry.

It was a poem of volume and geometry without humanity—a little bit of Swiss megalomania come to the North. As Bev says, I have views about the International Style.

Why is geometry often described as ""cold" and ""dry?" One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.

In an ever-more complex world, Mandelbrot argues, scientists need both tools: image as well as number, the geometric view as well as the analytic. The two should work together. Visual geometry is like an experienced doctor's savvy in reading a patient's complexion, charts, and X-rays. Precise analysis is like the medical test results-the raw numbers of blood pressure and chemistry. "A good doctor looks at both, the pictures and the numbers. Science needs to work that way too," he says.

A geometry implies the heterogeneity of locus, namely that there is a locus of the Other. Regarding this locus of the Other, of one sex as Other, as absolute Other, what does the most recent development in topology allow us to posit?

who could visualize four-dimensional surfaces in a non-Euclidean geometry

I got good grades in math, but I never really enjoyed it. My favorite part of math was algebra, but geometry was the worst.

Pick up a sunflower and count the florets running into its centre, or count the spiral scales of a pine cone or a pineapple, running from its bottom up its sides to the top, and you will find an extraordinary truth: recurring numbers, ratios and proportions.

There's a theory that says that life is based on a competition and the struggle and the fight for survival, and it's interesting because when you look at the fractal character of evolution, it's totally different. It's based on cooperation among the elements in the geometry and not competition.

As impressive as matrix mechanics was, it suffered from a severe marketing flaw. The mathematical formalism was highly abstract and difficult to understand. Einstein's reaction to the theory was typical: A veritable sorcerer's calculation. This is sufficiently ingenious and protected by its great complexity to be immune to any proof of its falsity. This from the guy who had proposed describing space-time in terms of non-Euclidian geometry.

She is angle. I am curve. Together, we are geometric sculpture, and we make perfect sense.

A pool game mixes ritual with geometry.

Topologically, a P and a q are equivalent, as are a coffee mug and a doughnut.

There they were, fanned out behind him like two points at the base of a moving scalene triangle.

ANALYTIC GEOMETRY (1637)