-
moving
SourceKoch Curves
Nature is an endless combination and repetition of a very few laws.
— Ralph Waldo Emerson, Essays: First Series — History -
moving
SourceRecursive Pentagram
An infinite sphere whose centre is everywhere and whose circumference is nowhere.
— Blaise Pascal, Thoughts, article I -
moving
SourceSierpinski Gasket
So, naturalists observe, a flea Has smaller fleas that on him prey; And these have smaller still to bite 'em, And so proceed ad infinitum.
— Jonathan Swift, On Poetry: a Rhapsody -
moving
SourceFibonacci Spiral
Changed, I rise again the same.
— Jakob Bernoulli, Epitaph, Basel Minster -
moving
SourceThe Love That Moves
The love that moves the sun and the other stars.
— Dante Alighieri, The Divine Comedy, Paradise XXXIII -
moving
SourceUnder the Sun
Nothing new under the sun.
— Clementine Vulgate, Ecclesiastes 1:10 -
moving
SourceWindmill
Windmills, not giants.
— Miguel de Cervantes, Don Quixote I, chapter VIII -
moving
SourceElectric Fan
If every tool could do its own work, at a command or by anticipating what was needed…
— Aristotle, Politics I 1253b -
moving
SourceAtan2
Divide each difficulty into as many parts as possible and as necessary to resolve it.
— René Descartes, Discourse on Method, part II -
moving
SourceOne Yin, One Yang
One yin, one yang: this is called the Way.
— Commentaries on the Book of Changes, Appended Statements I.5 -
moving
SourceTemple Bell
The Gion bells echo the passing of all things; the sal trees’ blossoms tell how the mighty must fall.
— The Tale of the Heike, Book I, Gion Monastery -
moving
SourceTroubling of a Star
And thou canst not stir a flower Without troubling of a star.
— Francis Thompson, The Mistress of Vision -
SourceNautilus
Build thee more stately mansions, O my soul, As the swift seasons roll! Leave thy low-vaulted past!
— Oliver Wendell Holmes, The Autocrat of the Breakfast-Table, chapter IV -
moving
SourceAmmonite
Everything changes; nothing perishes.
— Ovid, Metamorphoses XV.165 -
moving
SourceHerringbone
A harmony that turns back upon itself.
— Heraclitus, Fragment B51, in Hippolytus, Refutation IX.9.2 -
moving
SourcePinwheel
Order is the arrangement that assigns to things equal and unequal their proper places.
— Augustine of Hippo, The City of God XIX.13 -
moving
SourceHex Triangle
From six triangles, one equilateral triangle is formed.
— Plato, Timaeus 54e -
moving
SourceKanizsa Square
The senses do not deceive; judgement deceives.
— Johann Wolfgang von Goethe, Maxims and Reflections -
moving
SourceShippō Tsunagi
No eye could ever see the sun without becoming sunlike.
— Plotinus, Enneads I.6.9 -
moving
SourceNecker Cube
They would take nothing for truth but the shadows of manufactured things.
— Plato, Republic VII 515c -
moving
SourceHarriss Spiral
Every branch of a plant, every limb of an animal, every drop of its fluids is itself such a garden or pond.
— Gottfried Wilhelm Leibniz, Monadology, 67 -
moving
SourceReaction Diffusion Coral
Another reaction system in two dimensions gives rise to patterns reminiscent of dappling.
— A. M. Turing, The Chemical Basis of Morphogenesis -
moving
SourceTruchet Tides
The river flows unceasingly, yet its water is never the same. Foam on the pools vanishes and forms, never staying long.
— Kamo no Chōmei, An Account of My Hut -
moving
SourceVoronoi Bloom
Scents, colours and sounds answer one another.
— Charles Baudelaire, The Flowers of Evil, Correspondences -
moving
SourceClinamen
If atoms never swerved, all would fall like drops of rain through the deep void…
— Lucretius, On the Nature of Things II.221–222 -
SourceDe Jong Attractor
One must still have chaos within to give birth to a dancing star.
— Friedrich Nietzsche, Thus Spoke Zarathustra, Prologue 5 -
moving
SourceMöbius Band
A one-sided surface is formed, bounded by a single line…
— August Ferdinand Möbius, On Polyhedra and Elementary Transformations -
moving
SourceUlam Spiral
There are more prime numbers than any given multitude of primes.
— Euclid, Elements IX.20 -
moving
SourceHilbert Curve
A point can move continuously so that, in a finite time, it reaches every point of a region of the plane.
— David Hilbert, Mathematische Annalen 38 -
moving
SourceCafé Wall
The eyes cannot know the nature of things.
— Lucretius, On the Nature of Things IV.385 -
moving
SourceDLA Frost
Why do they not fall with five sides, or seven? Why always six?
— Johannes Kepler, The Six-Cornered Snowflake -
moving
SourceKissing Circles
This makes the theorem more beautiful and more concise…
— René Descartes, Letter to Elisabeth, AT IV 47 -
moving
SourceMoiré Rings
Every point of a luminous body—the sun, a candle, a glowing coal—generates waves of which it is the centre.
— Christiaan Huygens, Treatise on Light -
moving
SourceLorenz Ribbons
Small differences in the initial conditions may produce very great differences in the final phenomena…
— Henri Poincaré, Science and Method -
moving
SourcePlatonic Duals
The same circle surrounds the dodecahedron’s pentagon and the icosahedron’s triangle when both solids are inscribed in one sphere.
— Hypsicles, Elements XIV.2 -
moving
SourceThirty Spokes
Thirty spokes share one hub; it is the emptiness that makes the cart useful.
— Laozi, Tao Te Ching, 11 -
moving
SourceNo Common Measure
The unreal has no being; the real never ceases to be.
— Bhagavad Gita, The Yoga of Knowledge, 2.16 -
moving
SourceTurn It and Turn It
Turn it and turn it again, for everything is in it.
— Ben Bag Bag, Ethics of the Fathers 5:22 -
moving
SourceWhat Hangs Stands
As a flexible chain hangs, so, inverted, a rigid arch will stand.
— Robert Hooke, The Life of Dr. Robert Hooke, p. xxi -
moving
SourceMystic Hexagram
The lines MS, NO and PQ will be of the same order: this will be a third lemma.
— Blaise Pascal, Essay on Conics, third lemma -
moving
SourceThe Hat
The stone the builders rejected has become the cornerstone.
— Psalms, Psalm 118:22 -
SourceThe Red and the Black
Suddenly Julien stopped speaking of Napoleon; he announced his plan to become a priest…
— Stendhal, The Red and the Black, chapter V -
moving
SourceNot Without a Plan
A mighty Maze! but not without a Plan;
— Alexander Pope, An Essay on Man, Epistle I, line 6 -
moving
SourceApollonian Gasket
Given any three points, lines or circles, draw a circle through each given point, if any, and tangent to each given line or circle.
— Pappus of Alexandria, Collection VII, §11 -
moving
SourceMade Whole
A square and ten of its roots equal thirty-nine dirhams.
— Muhammad ibn Musa al-Khwarizmi, The Compendious Book on Calculation -
moving
SourceBetween Two Ends
That point moves back and forth along the diameter of the larger circle through the initial point of contact.
— Nasir al-Din al-Tusi, Memoir on Astronomy II.11 -
moving
SourceThe Same Tower
The same tower appears round from afar and square from nearby.
— Sextus Empiricus, Outlines of Pyrrhonism I.118 -
moving
SourceAll on One Circumference
They will always be seen together on the circumference of circles growing successively larger.
— Galileo Galilei, Two New Sciences, third day -
moving
SourceInnumerable Straight Lines
On the surface of a cylindroid, though doubly curved, infinitely many straight lines can be drawn.
— Christopher Wren, Philosophical Transactions, no. 48, p. 962 -
moving
SourceThe Seventeen-Foot
Taking each in turn, he went as far as the root of seventeen; there, somehow, he stopped.
— Plato, Theaetetus 147d -
moving
SourceEyed Awry
Like perspectives, which rightly gazed upon show nothing but confusion; eyed awry, distinguish form.
— William Shakespeare, Richard II, II.2 -
moving
SourceLoxodrome
The voyage of the best ship is a zigzag line of a hundred tacks. … See the line from a sufficient distance, and it straightens itself to the average tendency.
— Ralph Waldo Emerson, Essays: First Series — Self-Reliance -
moving
SourceLittle Moons
Why is it that in eclipses of the sun, if one looks through a sieve or through leaves, such as a plane tree’s … the beams on the ground become crescents?
— Pseudo-Aristotle, Problems XV.11 -
moving
SourceHomo Bulla
If, as the saying goes, man is a bubble, all the more so is an old man.
— Varro, On Agriculture I.1.1 -
moving
SourceStains the White
Life, like a dome of many-coloured glass, Stains the white radiance of Eternity, Until Death tramples it to fragments.
— Percy Bysshe Shelley, Adonais, stanza LII -
moving
SourceThose Unheard
Heard melodies are sweet, but those unheard Are sweeter;
— John Keats, Ode on a Grecian Urn, stanza II -
moving
SourceNo Such Passage
If more than two regions have an odd number of bridges leading to them, such a passage cannot be made.
— Leonhard Euler, Solution of a Problem Relating to the Geometry of Position, §20 -
moving
SourceStill There
The Moving Finger writes; and, having writ, Moves on: nor all thy Piety nor Wit Shall lure it back to cancel half a Line, Nor all thy Tears wash out a Word of it.
— Omar Khayyam, Rubaiyat -
moving
SourceBy Misunderstanding
The world works only by misunderstanding. It is by universal misunderstanding that everyone agrees. For if, by ill luck, people understood one another, they could never agree.
— Charles Baudelaire, My Heart Laid Bare -
moving
SourceAnother Heaven and Earth
Peach blossoms on the flowing water go off into the deep distance; there is another heaven and earth, not the human world.
— Li Bai, Question and Answer in the Mountains -
moving
SourceNothing but Nuance
Not Colour, nothing but nuance!
— Paul Verlaine, Art of Poetry -
moving
SourceAs It Advances
Duration is the continuous progress of the past which gnaws into the future and which swells as it advances.
— Henri Bergson, Creative Evolution, ch. I, p. 4 -
moving
SourceThrough Both
But through both, ‘It’ dances.
— Eugen Herrigel, Zen in the Art of Archery -
moving
SourceBeside Itself
A bright surface is brighter beside a dark surface than beside one brighter than itself.
— Ernst Mach, The Analysis of Sensations, ch. I, section 5 -
moving
SourceA General Process
The individual case is not excluded from consideration, but is fixed and retained as a perfectly determinate step in a general process of change.
— Ernst Cassirer, Substance and Function, ch. I, section III -
SourceSupplied by Another
what was wanting to one in the representation of the divine goodness might be supplied by another.
— Thomas Aquinas, Summa Theologiae, I, q. 47, a. 1 -
moving
SourceNot in the Field
But you do not really see the eye. And from nothing in the field of sight can it be concluded that it is seen from an eye.
— Ludwig Wittgenstein, Tractatus Logico-Philosophicus, 5.633