The Geometry Of Shadows Quotes

Elric: We are dreamers, shapers, singers, and makers. We study the mysteries of laser and circuit, crystal and scanner, holographic demons and invocation of equations. These are the tools we employ, and we know many things.

John Sheridan: Such as?

Elric: The true secrets, the important things. Fourteen words to make someone fall in love with you forever. Seven words to make them go without pain. How to say good-bye to a friend who is dying. How to be poor. How to be rich. How to rediscover dreams when the world has stolen them. That is why we are going away - to preserve that knowledge.

Sheridan: From what?

Elric: There is a storm coming, a black and terrible storm. We would not have our knowledge lost or used to ill purpose. From this place we will launch ourselves into the stars. With luck, you will never see our kind again in your lifetime. I know you have your orders, Captain. Detain us if you wish. But I cannot tell you where we are going. I can only ask you to trust us. ~ J. Michael Straczynski

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

Three of the four forces (excluding gravity) are therefore united by quantum theory, giving us unification without geometry, which appears to contradict the theme of this book and everything we have considered so far. ~ Michio Kaku

the problem is then to develop a theory of invariance with respect to arbitrary linear transformations, in which, however, in contra-distinction to the case of affine geometry, we have a definite invariant quadratic form, viz. the metrical groundform once and for all as an absolute datum. ~ Hermann Weyl

The seven "liberal arts": Grammar, the foundation of science; Logic, which differentiates the true from the false; Rhetoric, the source of law; Arithmetic, the foundation of order because "without numbers there is nothing"; Geometry, the science of measurement; Astronomy, the most noble of the sciences because it is connected with Divinity and Theology; and lastly Music. ~ Barbara W. Tuchman

The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn. ~ Isaac Newton

It was a hundred years later that Einstein gave a theory (general relativity) which said that the geometry of the universe is determined by its content of matter, so that no one geometry is intrinsic to space itself. Thus to the question, "Which geometry is true?" nature gives an ambiguous answer not only in mathematics, but also in physics ~ Douglas R. Hofstadter

I did not know then that this is what life is - just when you master the geometry of one world, it slips away, and suddenly again, you're swarmed by strange shapes and impossible angles. ~ Ta-Nehisi Coates

And amid all this confusion I, what's truly I, am the centre that exists only in the geometry of the abyss: I'm the nothing around which everything spins, existing only so that it can spin, being a centre only because every circle has one. I, what's truly I, am a well without walls but with the walls' viscosity, the centre of everything with nothing around it. ~ Fernando Pessoa

Astronomy was born of superstition; eloquence of ambition, hatred, falsehood, and flattery; geometry of avarice; physics of an idle curiosity; and even moral philosophy of human pride. Thus the arts and sciences owe their birth to our vices. ~ Jean-Baptiste Rousseau

So when nobody's watching, is the rainbow there? No, it is not. Your eyes are needed to complete the geometry. The triad of Sun, water droplets, and observer are all required for a rainbow. When no one is present, we can picture the situation as an infinity of potential rainbows, each slightly offset from the others with various color emphases (since bigger droplets produce more vivid rainbows but rob them of blue). Moreover, only when neurons in the retina and brain are stimulated by light's invisible magnetic and electrical pulses do they conjure the subjective experience of spectral colors. For both reasons, we are as necessary for rainbows as the Sun and the rain. ~ Bob Berman [The Sun's Heartbeat]

Scientists say every action initiates an equal and opposite reaction. I say that's just the start. I say every action initiates a most unequal and upredictable chain reaction, that every filament of living becomes part of a larger weave, while remaining identifiable. That every line of latitude requires several stripes of longitude to obtain meaning. That every universe is part of a bigger heaven, a heaven of rhythm and geometry, where a heartbeat is the apex of a triangle. ~ Ellen Hopkins

Some people gain their understanding of the world by symbols and mathematics. Others gain their understanding by pure geometry and space. There are some others that find an acceleration in the muscular effort that is brought to them in understanding, in feeling the force of objects moving through the world. What they want are words of power that stir their souls like the memory of childhood. For the sake of persons of these different types, whether they want the paleness and tenuity of mathematical symbolism, or they want the robust aspects of this muscular engagement, we should present all of these ways. It's the combination of them that give us our best access to truth ~ James Clerk Maxwell

The Coupling Equation between the GPG and its KC is that of a Cube with a side length of 2.99 squared (that has the value of the ratio of the GPG's base width over its height in RC units). This Cube delivers a pyramidal geometry (based on this Coupling Equation) which has a base length of a tropical year measure. ~ Ibrahim Ibrahim

The legendary inscription above the Academy's door speaks loudly about Plato's attitude toward mathematics. In fact, most of the significant mathematical research of the fourth century BC was carried out by people associated in one way or another with the Academy. Yet Plato himself was not a mathematician of great technical dexterity, and his direct contributions to mathematical knowledge were probably minimal. Rather, he was an enthusiastic spectator, a motivating source of challenge, an intelligent critic, an an inspiring guide. The first century philosopher and historian Philodemus paints a clear picture: "At that time great progress was seen in mathematics, with Plato serving as the general architect setting out problems, and the mathematicians investigating them earnestly." To which the Neoplatonic philosopher and mathematician Proclus adds: "Plato...greatly advanced mathematics in general and geometry in particular because of his zeal for these studies. It is well known that his writings are thickly sprinkled with mathematical terms and that he everywhere tries to arouse admiration for mathematics among students of philosophy." In other words, Plato, whose mathematical knowledge was broadly up to date, could converse with the mathematicians as an equal and as a problem presenter, even though his personal mathematical achievements were not significant. ~ Mario Livio

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

Long before being artists, we are artisans; and all fabrication, however rudimentary, lives on likeness and repetition, like the natural geometry which serves as its fulcrum. Fabrication works on models which it sets out to reproduce; and even when it invents, it proceeds, or imagines itself to proceed, by a new arrangement of elements already known. Its principle is that "we must have like to produce like." In short, the strict application of the principle of finality, like that of the principle of mechanical causality, leads to the conclusion that "all is given." Both principles say the same thing in their respective languages, because they respond to the same need. ~ Henri Bergson

Today, suddenly, I reached an absurd but unerring conclusion. In a moment of enlightenment, I realized that I'm nobody, absolutely nobody. When the lightning flashed, I saw that what I had thought to be a city was in fact a deserted plain and, in the same sinister light that revealed me to myself, there seemed to be no sky above it. I was robbed of any possibility of having existed before the world. If I was ever reincarnated, I must have done so without myself, without a self to reincarnate.
I am the outskirts of some non-existent town, the long-winded prologue to an unwritten book. I'm nobody, nobody. I don't know how to feel or think or love. I'm a character in a novel as yet unwritten, hovering in the air and undone before I've even existed, amongst the dreams of someone who never quite managed to breathe life into me.
I'm always thinking, always feeling, but my thoughts lack all reason, my emotions all feeling. I'm falling through a trapdoor, through infinite, infinitous space, in a directionless, empty fall. My soul is a black maelstrom, a great madness spinning about a vacuum, the swirling of a vast ocean around a hole in the void, and in the waters, more like whirlwinds than waters, float images of all I ever saw or heard in the world: houses, faces, books, boxes, snatches of music and fragments of voices, all caught up in a sinister, bottomless whirlpool.
And I, I myself, am the centre that exists only because the geometry of the abyss demands it; I am ~ Fernando Pessoa

Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses. But in order that this work merit the name of Geometry, it is necessary that these hypotheses or postulates express the result of the more simple and elementary observations of physical figures. ~ Giuseppe Peano

I regret that it has been necessary for me in this lecture to administer a large dose of four-dimensional geometry. I do not apologize, because I am really not responsible for the fact that nature in its most fundamental aspect is four-dimensional. Things are what they are. ~ Alfred North Whitehead

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

The greatest pleasure is not - say - sex or geometry. It is just understanding. And if you can get people to understand their own humanity - well, that's the job of the writer. ~ William Golding

The Ark of the Covenant is a Golden Rectangle because its rectangular shape is in the proportions of the Golden Ratio. ~ Donald Frazer

Whatever efforts one may make, one must revert to the realization that religion is the real basis of morality; religion is the real and perceptible purpose within us, which alone, can turn aside our attention from things ... The science of morality can no more teach human beings to be honest, in all the magnificence of this word, than geometry can teach one how to draw. ~ Madame De Stael

The pattern appears so ethereally, that it is hard to remember that the shape is an attractor. It is not just any trajectory of a dynamical system. It is the trajectory toward which all other trajectories converge. ~ James Gleick

The science [geometry] is pursued for the sake of the knowledge of what eternally exists, and not of what comes for a moment into existence, and then perishes. ~ Plato

God Child is a free and inspirational translation of Adam. Adam means 'human', not 'man'. The Hebrew for 'man' is 'aish'. In English man can mean both man and human, which may have caused the confusion in the first place. If Adam isn't the first male Homo sapiens, who or what is he? ~ Stefan Emunds

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

Speed is simply the rite that initiates us into
emptiness: a nostalgic desire for forms to revert to immobility, concealed beneath the very intensification of their mobility. Akin to the nostalgia for living forms that haunts geometry. ~ Jean Baudrillard

As astronomy is the daughter of idleness, geometry is the daughter of property. ~ Bernard Le Bovier De Fontenelle

Reverence for the natural environment, and experiencing the interconnectedness between all things has long guided me to create watercolor paintings of beauty and spirit. Life's continuing adventure has led me into an exciting exploration into the wisdom and symbolic imagery of Sacred Geometry. These paintings act as a bridge between this reality and a metaphorical world of healing, continuity, and transformation. I use multiple transparent watercolor glazes coupled with image overlapping techniques, and sacred geometry to produce visions of a multi-dimensional reality. It is my intention to create art that embodies the vibration of Universal Love and expresses the joy and gratitude I feel for the honor of being part of this earthwalk."
~Blessings, Francene~ ~ Francene Hart

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. ~ Bruce Lipton

As I explain at some length in 'The Crystal Sun' this particular angle, which we can call the 'golden angle,' is the precise value of the acute angle of of a right-angled 'golden triangle' that embodies the golden mean proportion ....

The Danish art historian Else Kielland established with conclusive and absolutely overwhelming evidence and analysis that this angle was the basis for all Egyptian art and architecture. She did this in her monumental work 'Geometry in Egyptian Art' .....

The King's Chamber inside the Great Pyramid embodies no fewer than eight occurrences of the golden angle, and the coffer in the chamber embodies yet more. ~ Robert K. G. Temple

The Philosophy of Tea is not mere aestheticism in the ordinary acceptance of the term, for it expresses conjointly with ethics and religion our whole point of view about man and nature. ~ Okakura Kakuzo

I realized I was far more interested in the expansion of concentric rings than the geometry of perfect circles. ~ L.W. Montgomery

Boarding-House Geometry DEFINITIONS AND AXIOMS All boarding-houses are the same boarding-house. Boarders in the same boarding-house and on the same flat are equal to one another. A single room is that which has no parts and no magnitude. The landlady of a boarding-house is a ~ Stephen Leacock

Now suddenly he had intimations of destiny; he could see that life had a secret geometry on which his rational mind had no purchase. But even as he was overcome with a desire to subdue his reason and find happiness, he also sensed that - for the moment at least - his yearning for happiness was not yet strong enough. ~ Orhan Pamuk

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

Aspiring to these wide generalizations, the analysis of quadratic functions soars to a pitch from whence it may look proudly down on the feeble and vain attempts of geometry proper to rise to its level or to emulate it in its flights. ~ James Joseph Sylvester

Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that algebra and geometry are different in appearance. Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements. ~ Omar Khayyam

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. ~ Arthur Stanley Eddington

Geometry is the art of correct reasoning from incorrectly drawn figures. ~ Henri Poincare

every day could bring the breaking of a new record, but the larger world would persist undisturbed. There was always news, even if little of it was newsworthy. Every pitch was different, every swing, and yet they all were variations on a familiar theme. The lines on the field, the fences around it, the neat geometry suggested that these, for a discrete but somehow infinite period, were the limits of the world. ~ Matthew Thomas