I quickly learned that reading is cumulative and proceeds by geometric progression: each new reading builds upon whatever the reader has read before.

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 socalled elements cannot be the ultimate "atomic" constituents of space.
christopher alexanderWhoever 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 khayyámTo him, a stilted geometric love of arrangement was “ system ,” an indefatigable and feverish interest in the pettiest facets of daytoday bureaucracy was “industry,” indecision when right was “caution,” and blind stubbornness when wrong, “determination.”
Isaac AsimovI 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 lucaThe basis for the Bharat Natyam technique is the perception of the human body as a geometric ideal both in its static position (pictured as the straight axis around which a circle could be drawn) and its articulation through the dance (which explores all the harmonious geometric shapes possible from the central axis within the circle).
Shobana JeyasinghModern man lives more and more in a preponderantly geometric order. All human creation mechanical or industrial is dependent upon geometric intentions.
Fernand Le gerEvery 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 [patterns in the space] are the atoms and molecules from which a building or a town is made.
christopher alexanderIn 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 galbraithgeometric 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 peanoThere 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 poundstoneAbout Archimedes one remembers that he did strange things: he ran around naked shouting Heureka!, plunged crowns into water, drew geometric figures as he was about to be killed, and so on. … One ends up forgetting he was a scientist of whom we still have many writings.
lucio russoI 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 baziotesIn many cases a dull proof can be supplemented by a geometric analogue so simple and beautiful that the truth of a theorem is almost seen at a glance.
martin gardnerThe subject of industrial design is one of three important practical corelated subjects which should be taught in public schools, and to which practice and skill in drawing should be applied. Satisfactory results in this subject, however, depend entirely upon the manner in which it is taught. Instruction in industrial design means a clear presentation of the principles which obtain in the construction and harmonious arrangement of geometric form for decorative purposes, the proper use of plant forms in ornamental arrangements, and the principles of good taste to be found in the great history styles of art.
Minimal sculpture is composed of extremely simple, monumental geometric forms made of fibreglass , plastic , sheet metal, or aluminum , either left raw or solidly painted with bright industrial colours. Like the painters , minimalist sculptors attempted to make their works totally objective, unexpressive, and nonreferential.
The rules of Bharata Natyam nritta by referring to purely geometric ideals, make it also a totally objective dance.
Perhaps the bestknown mandalacumplotting device in the Tantric universe is the Sri Cakra and Sri Yantra of Hindu Tantric practice, a perfectly balanced threedimensional geometric diagram of a series of eleven interlocking and embedded triangles (also called Cakras) radiating downward and outward from a central point and enclosed by a circle and a square. The mandalas of Buddhist and Jain Tantric practice follow similar structural and dynamic principles.
Since my youth geography has been for me the primary object of study. When I was engaged in it, having applied the considerations of the natural and geometric sciences, I liked, little by little, not only the description of the earth, but also the structure of the whole machinery of the world, whose numerous elements are not known by anyone to date.
"Watching this video is like being bukkaked with stupid." "What are the odds that a simple geometric folding of a $20 bill with elements of design that were conceived in 1928 by a committee of treasurers, a full 42 years before the World Trade Center even existed, could accidentally contain a representation of both terror attacks? Pretty good, apparently."
The main virtue of geometric shapes is that they aren't organic, as all art otherwise is. A form that's neither geometric or organic would be a great discovery.
In mathematics he was greater Than Tycho Brahe, or Erra Pater: For he, by geometric scale, Could take the size of pots of ale; Resolve, by sines and tangents straight, If bread and butter wanted weight; And wisely tell what hour o' th' day The clock doth strike, by algebra.