#geometry

Not that the propositions of geometry are only approximately true, but that they remain absolutely true in regard to that Euclidean space which has been so long regarded as being the physical space of our experience. ↗

— Arthur Cayley

#approximately #been #being #experience #geometry

I've got a real sense of three-dimensional geometry. I can look at a flat piece of fabric and know that if I put a slit in it and make some fabric travel around a square, then when you lift it up it will drape in a certain way, and I can feel how that will happen. ↗

— Vivienne Westwood

#certain #certain way #drape #fabric #feel

In things to be seen at once, much variety makes confusion, another vice of beauty. In things that are not seen at once, and have no respect one to another, great variety is commendable, provided this variety transgress not the rules of optics and geometry. ↗

— Christopher Wren

#beauty #commendable #confusion #geometry #great

If the human mind can understand the universe, it means the human mind is fundamentally of the same order as the divine mind. If the human mind is of the same order as the divine mind, then everything that appeared rational to God as he constructed the universe, it's “geometry,” can also be made to appear rational to the human understanding, and so if we search and think hard enough, we can find a rational explanation and underpinning for everything. This is the fundamental proposition of science. ↗

— Robert Zubrin

#god #inspirational #science #inspirational

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

— Federico Garcia Lorca

#architecture #big #big city #captures #city

Be honest: did you actually read [the above geometric proof]? Of course not. Who would want to? The effect of such a production being made over something so simple is to make people doubt their own intuition. Calling into question the obvious by insisting that it be 'rigorously proved' ... is to say to a student 'Your feelings and ideas are suspect. You need to think and speak our way. ↗

— Paul Lockhart

#intuition #math #mathematics #art

In the various arts, and above all in that of writing, the shortest distance between two points, even if close to each other, has never been and never will be, nor is it now, what is known as a straight line, never, never, to put it strongly and emphatically in response to any doubts, to silence them once and for all. ↗

— José Saramago

#art

Gosta da música, que é a mesma coisa que ouvir geometria ↗

— Afonso Cruz

#math #music #music

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. ↗

— Benoît B. Mandelbrot

#nature

Perfect hexagonal tubes in a packed array. Bees are hard-wired to lay them down, but how does an insect know enough geometry to lay down a precise hexagon? It doesn't. It's programmed to chew up wax and spit it out while turning on its axis, and that generates a circle. Put a bunch of bees on the same surface, chewing side-by-side, and the circles abut against each other - deform each other into hexagons, which just happen to be more efficient for close packing anyway. ↗

— Peter Watts

#geometry #nature #nature-s-grandeur #nature