Dodecahedral Geometry Quotes

If I died, would it get me out of my geometry test tomorrow? One could only hope. ~ Kristin Cast

[As a young teenager] Galois read Legendre]'s geometry from cover to cover as easily as other boys read a pirate yarn. ~ Eric Temple Bell

A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser. ~ Euclid

Abstraction didn't have to be limited to a kind of rectilinear geometry or even a simple curve geometry. It could have a geometry that had a narrative impact. In other words, you could tell a story with the shapes. It wouldn't be a literal story, but the shapes and the interaction of the shapes and colors would give you a narrative sense. You could have a sense of an abstract piece flowing along and being part of an action or activity. That sort of turned me on. ~ Frank Stella

There are no sects in geometry. ~ Voltaire

About Thomas Hobbes: He was 40 years old before he looked on geometry; which happened accidentally. Being in a gentleman's library, Euclid's Elements lay open, and "twas the 47 El. libri I" [Pythagoras' Theorem]. He read the proposition "By God", sayd he, "this is impossible:" So he reads the demonstration of it, which referred him back to such a proposition; which proposition he read. That referred him back to another, which he also read. Et sic deinceps, that at last he was demonstratively convinced of that truth. This made him in love with geometry. ~ John Aubrey

He could not believe that any of them might actually hit somebody. If one did, what a nowhere way to go: killed by accident; slain not as an individual but by sheer statistical probability, by the calculated chance of searching fire, even as he himself might be at any moment. Mathematics! Mathematics! Algebra! Geometry! When 1st and 3d Squads came diving and tumbling back over the tiny crest, Bell was content to throw himself prone, press his cheek to the earth, shut his eyes, and lie there. God, oh, God! Why am I here? Why am I here? After a moment's thought, he decided he better change it to: why are we here. That way, no agency of retribution could exact payment from him for being selfish. ~ James Jones

When I began my physical studies [in Munich in 1874] and sought advice from my venerable teacher Philipp von Jolly ... he portrayed to me physics as a highly developed, almost fully matured science ... Possibly in one or another nook there would perhaps be a dust particle or a small bubble to be examined and classified, but the system as a whole stood there fairly secured, and theoretical physics approached visibly that degree of perfection which, for example, geometry has had already for centuries. ~ Max Planck

With this, in a powerful sense, our Question has been answered. The world, insofar as we speak of the world of Chemistry, biology, astrophysics, engineering, and everyday life, does embody beautiful ideas. The Core, which governs those domains, is profoundly rooted in concepts of symmetry and geometry, as we have seen. And it works its will, in quantum theory, through music-like rules. Symmetry really does determine structure. A pure and perfect Music of the Spheres really does animate the soul of reality. Plato and Pythagoras: We salute you! ~ Frank Wilczek

I was very slow in maths, geometry I actually enjoyed. ~ Liam Neeson

Geometry is 'number in space', music is 'number in time'. ~ John Martineau

In the end, she said, a little bitterly, facing him in warm perfumed bathwater one evening, despite wealth, despite wisdom, despite contacts and court alliances, I am still a woman. And I will be judged on all counts for that single fact, via the cursed fucking geometry of how pleasing I am to the eye. Cheekbones and arse cheeks are my destiny. ~ Richard K. Morgan

Descartes constructed as noble a road of science, from the point at which he found geometry to that to which he carried it, as Newton himself did after him ... He carried this spirit of geometry and invention into optics, which under him became a completely new art. ~ Voltaire

For it is the duty of an astronomer to compose the history of the celestial motions through careful and expert study. ~ Nicolaus Copernicus

I write rhymes with addition and algebra, mental geometry. ~ Ice-T

Music is geometry in time. ~ Arthur Honegger

This was the missing piece in the puzzle. The secret of wood that bound matter together was the Yang-Mills filed, not the geometry of Einstein. It appeared as though this, and not geometry, was the central lesson of physics. ~ Michio Kaku

She was still getting organized, trying to get the books she'd taken out to fit into the shelf under the stroller. She would shove a book in, and then something, a juice cup, a Binky, or one disturbing Barbie-doll head, would fall out the other side. She would shove that back in, and then something else would leak out the other side. Her stroller was like a poorly designed clown car.
I went over and helped. It was a good thing spatial relations were a strength of mine, because it required the geometry skills of Newton to get everything slotted into place. ~ Eileen Cook

You can't criticize geometry. It's never wrong. ~ Paul Rand

Where is the library?"
"Turn right, proceed thirty-four paces, turn right again, twelve paces, then through door on the right, thirty-five paces, through archway on right another eleven paces, turn right one last time, fifteen paces, enter the door on the right."
Mappo stared at Iskaral Pust.
The High Priest shifted nervously.
"Or," the Trell said, eyes narrowed, "turn left, nineteen paces."
"Aye," Iskaral muttered. ~ Steven Erikson

There are infinitely many variations of the initial situation and therefore no doubt indefinitely many theorems of moral geometry. ~ John Rawls

It has adopted the geometry most advantageous to the species or, in other words, the most convenient. ~ Henri Poincare

Basic geometric shapes communicate universal qualities common to all cultures. Practical design integrates them appropriately. ~ Maggie Macnab

I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit. ~ Benoit Mandelbrot

Let no-one ignorant of geometry enter. Said to have been inscribed above the door of Plato's Academy. ~ Plato

Where there is matter, there is geometry. ~ Johannes Kepler

If you're sitting across the table from someone, the geometry of the situation says 'confrontation.' If you're walking with somebody, you're heading in the same direction, and the spatial dance you're doing is a little more cooperative. ~ Scott Kim

Architects should be educated, skillful with the pencil, instructed in geometry, know much history, have followed the philosophers with attention, understand music, have some knowledge of medicine, know the opinions of the jurists, and be acquainted with astronomy and the theory of the heavens ~ Marcus Vitruvius Pollio

To ride a bicycle is in itself some protection against superstitious fears, since the bicycle is the product of pure reason applied to motion. Geometry at the service of man! Give me two spheres and a straight line and I will show you how far I can take them. Voltaire himself might have invented the bicycle, since it contributes so much to man's welfare and nothing at all to his bane. Beneficial to the health, it emits no harmful fumes and permits only the most decorous speeds. How can a bicycle ever be an implement of harm? ~ Angela Carter

He who would prove all life, leaves it empty. To know the way of everything is to be left with the geometry of things and with the substance of nothing. To reduce the world to an equation is to leave it without head or feet. ~ Leopoldo Alas

This, dear Phaedrus, is the most important point: no geometry without the word. Without it, figures are accidents, and neither make manifest nor serve the power of the mind. ~ Paul Valery

Pyramids, cathedrals, and rockets exist not because of geometry, theories of structures, or thermodynamics, but because they were first a picture- literally a vision-in the minds of those who built them. Society is where it is today because people had the perception; the images and the imagination; the creativity that the Arts provide, to make the world the place we live in today. ~ Eugene S. Ferguson

I call him truly learned who brings everything to bear on the truth, so that from geometry, music, grammar, and philosophy itself, culling what is usefule, he guards the faith against assault. ~ Clement Of Alexandria

Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics. ~ Mario Livio

A musical audience is at best uninspiring, at worst definitely drab ... Respectability hangs like a pall over the orchestra and the boxes; a sort of sterile sobriety ill-fitted to the passionate geometry of music. ~ Marya Mannes

Geometry draws the soul towards truth. ~ Plato

By degrees, the bitterness at my heart diffused itself to the circumference of the circle in which my life went its cheerless mechanical round. ~ Edward Bulwer-Lytton

And in between the two, in between the sky and the sea, were all the winds. And there were all the nights and all the moons. To be a castaway is to be a point perpetually at the centre of a circle. However much things may appear to change - the sea may shift from whisper to rage, the sky might go from fresh blue to blinding white to darkest black - the geometry never changes. Your gaze is always a radius. The circumference is ever great. In fact, the circles multiply. To be a castaway is to be caught in a harrowing ballet of circles. ~ Yann Martel

Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine is too complicated for all the elements to be able to enter into the analytical comparison we wish to make, we separate the more inconvenient [elements], we substitute others for them, less troublesome but also less real, and we are surprised to arrive, notwithstanding a painful labour, only at a result contradicted by nature; as if after having disguised it, cut it short or altered it, a purely mechanical combination could give it back to us. ~ Jean Le Rond D'Alembert

There is (gentle reader) nothing (the works of God only set apart) which so much beautifies and adorns the soul and mind of man as does knowledge of the good arts and sciences . Many arts there are which beautify the mind of man; but of all none do more garnish and beautify it than those arts which are called mathematical , unto the knowledge of which no man can attain, without perfect knowledge and instruction of the principles, grounds, and Elements of Geometry. ~ John Dee

Andrew's kissing Amanda again, her back pinned against the door frame, his hands working through a geometry problem where the goal is to find the point of intersection where two legs bisect. People would like math so much more if it involved real life like that. ~ Julia Kent

Descriptive geometry has two objects: the first is to establish methods to represent on drawing paper which has only two dimensions,-namely, length and width,-all solids of nature which have three dimensions,-length, width, and depth,-provided, however, that these solids are capable of rigorous definition.
The second object is to furnish means to recognize accordingly an exact description of the forms of solids and to derive thereby all truths which result from their forms and their respective positions. ~ Gaspard Monge