Geometric Quotes - Page 2

• Now ... the basic principle of modern mathematics is to achieve a complete fusion [of] 'geometric' and 'analytic' ideas.

  Jean Dieudonne

  Ideas, Fusion, Principles

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• Every place is given its character by certain patterns of events that keep on happening there. These patterns of events are locked in with certain geometric patterns in the space. Indeed, each building and each town is ultimately made out of these patterns in the space, and out of nothing else; they are the atoms and molecules from which a building or a town is made.

  Christopher Alexander

  Character, Space, Events

  "The Timeless Way of Building". Book by Christopher Alexander, 1979.

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• On the geometric level, we see certain physical elements repeated endlessly, combined in an almost endless variety of combinations. It is puzzling to realize that the elements, which seem like elementary building blocks, keep varying, and are different every time that they occur. If the elements are different every time that they occur, evidently then, it cannot be the elements themselves which are repeating in a building or town; these so-called elements cannot be the ultimate "atomic" constituents of space.

  Christopher Alexander

  Block, Space, Different

  "The Timeless Way of Building". Book by Christopher Alexander, 1979.

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• I think when a man first discovers that two and two is four, there is 'beauty' in that; and we can see why. But if people stand and look at the moon and one says 'I think it's just beautiful tonight' and the other says 'The moon makes me feel awful' we are both 'clear'. A geometric shape - we know why we like it; and an unreasonable shape; it has a certain mystery that we recognize as real; but it is difficult to put these things in an objective way.

  William Baziotes

  Beautiful, Real, Moon

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• There is a deep connection between Bernoulli's dictum and John Kelly's 1956 publication. It turns out that Kelly's prescription can be restated as this simple rule: When faced with a choice of wagers or investments, choose the one with the highest geometric means of outcomes.

  William Poundstone

  Mean, Simple, Choices

  "Fortune's Formula: The Untold Story of the Scientific Betting System That Beat the Casinos and Wall Street". Book by William Poundstone, 2005.

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• Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.

  Giuseppe Peano

  Numbers, Operations, Entity

  Giuseppe Peano (2013). “Geometric Calculus: According to the Ausdehnungslehre of H. Grassmann”, p.17, Springer Science & Business Media

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

  Fernand Leger

  Men, Order, Creation

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• The non-geometric biomorphic forms of Arp and Miro and Moore are definitely in the ascendant. The formal tradition of Gauguin, Fauvism and Expressionism will probably dominate for some time to come the tradition of Cezanne and Cubism.

  Alfred H. Barr, Jr.

  Cezanne, Tradition, Form

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• I need geometry to set the grammar of the image expressive language . The structural skeleton, the composition and the geometric layout provide a perspective from which one can read the image; otherwise we would do what Dadaists did when they put words in a little bag and then took them out at random in order to compose a poem.

  Augusto De Luca

  Skeletons, Order, Perspective

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• Geometric shapes hold an energy pattern, and scientists did some experiments which say certain geometric shapes can affect matter around them. It's simply because when a human looks at a shape, they instantly receive energy from their brain.

  Tom DeLonge

  Geometric Shapes, Brain, Energy

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• In 1929 the discovery of the wonders of the geometric series struck Wall Street with a force comparable to the invention of the wheel.

  John Kenneth Galbraith

  Wall, Discovery, Wheels

  John Kenneth Galbraith (2009). “The Great Crash 1929”, p.76, Houghton Mifflin Harcourt

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• I'd make an educated guess that 20 to 25 percent of the taxable property in the U.S. is Church-owned.In a recent book, Church Wealth and Business Income, it was estimated that this property -all of it tax-exempt -is worth upwards of 80 billion dollars. I know that's a fantastic, unbelievable figure, but there's every reason to believe that it's on the conservative side; and this amount is increasing yearly at a geometric rate.

  Madalyn Murray O'Hair

  Believe, Book, Church

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• When I write a song, I see a tunnel, and then the chorus is an open space, or the bassline is doing this shape. I see songs as a more of a geometric, spacial experience.

  Bjork

  Song, Writing, Chorus

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• The earth is, of course, not the geometric center of the universe. But it is certainly the center of our lives.

  David Roochnik

  Earth, Universe

  Source: www.3ammagazine.com

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• The design is a really flat primary color with all sorts of abstract geometric shapes, just implying something. And then you'd have your characters running from something with guns. It was very expressionistic.

  Don Hertzfeldt

  Running, Character, Gun

  Source: www.avclub.com

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• I was a very hard-edged geometric painter, strongly influenced by [Piet] Mondrian and [Theo] van Doesburg and that sort of thing.

  Warren MacKenzie

  Vans, Painter, Hard

  Source: www.aaa.si.edu

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• Ensor sees with his imagination, but his vision is perfectly accurate, of an almost geometric precision. He is one of the very few who can really see. Like you, he has an obsession with masks; he is a seer as you and I are. The common herd, of course thinks that he is mad.*****************You shall see what sort of man Ensor is, and what a marvellous insight he has into the invisible realm where our vices are created... those vices for which our faces make masks.

  Jean Lorrain

  Men, Thinking, Mad

  Jean Lorrain (1994). “Monsieur de Phocas”, Hippocrene Books

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• I feel more and more as if time did not exist at all... only various spaces interlocking according to the rules of a higher form of stereometry[the geometric measurement of solid bodies], between which the living and the dead can move back and forth as they like, and the longer I think about it the more it seems to me that we who are still alive are unreal in the eyes of the dead.

  W. G. Sebald

  Moving, Eye, Thinking

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• It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus to have established analysis as an independent science, which from his time on has maintained an unchallenged leadership in the field of mathematics.

  Thomas Reid

  Leadership, Independent, Math

  "Mathematical Maxims and Minims". Book by Nicholas J. Rose, 1988.

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• These abnormal aspects included the shapes of UFOs and their behavior. Most of the UFOs seen in the daytime were said to have had simple geometric shapes-discs, ovals, spheres, cylinders-and surfaces that looked like metal. Such shapes are not only nonexistent among known aircraft, but contrary to all known theories of flight, in most cases offering control and performance disadvantages rather than advantages.

  Don Berliner

  Simple, Offering, Geometric Shapes

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• Rosemary and Guy Woodhouse had signed a lease on a five-room apartment in a geometric white house on First Avenue when they received word, from a woman named Mrs. Cortez, that a four-room apartment in the Bramford had become available.

  Ira Levin

  White, House, Guy

  Ira Levin (1985). “Three by Ira Levin”, Random House (NY)

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• Keep it simple: In general, interfaces should use simple geometric forms, minimal contours, and a restricted color palette comprised primarily of less-saturated or neutral colors balanced with a few high contrast accent colors that emphasize important information. Typography should not vary widely in an interface.

  Alan Cooper

  Simple, Color, Simplicity

  Alan Cooper, Robert Reimann, David Cronin (2012). “About Face 3: The Essentials of Interaction Design”, p.308, John Wiley & Sons

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• ... if one were to refuse to have direct, geometric, intuitive insights, if one were reduced to pure logic, which does not permit a choice among every thing that is exact, one would hardly think of many questions, and certain notions ... would escape us completely.

  Henri Lebesgue

  Math, Thinking, Choices

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• Within the human consciousness is the unique ability to perceive the transparency between absolute, permanent relationships, contained in the insubstantial forms of a geometric order, and the transitory, changing forms of our actual world. The content of our experience results from an immaterial, abstract, geometric architecture which is composed of harmonic waves of energy, nodes of relationality, melodic forms springing forth from the eternal realm of geometric proportion.

  Robert Lawlor

  Unique, Order, World

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• We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing but also by hearing, by feeling, by our sense of body motion and position. Our geometric and spatial skills are highly trainable, just as in other high-performance activities. In mathematics we can use the modules of our minds in flexible ways - even metaphorically. A whole-mind approach to mathematical thinking is vastly more effective than the common approach that manipulates only symbols.

  William Thurston

  Math, Thinking, Skills

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