Generative Art

Nature is an endless combination and repetition of a very few laws.

An infinite sphere whose centre is everywhere and whose circumference is nowhere.

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.

Changed, I rise again the same.

The love that moves the sun and the other stars.

Nothing new under the sun.

Windmills, not giants.

If every tool could do its own work, at a command or by anticipating what was needed…

Divide each difficulty into as many parts as possible and as necessary to resolve it.

One yin, one yang: this is called the Way.

The Gion bells echo the passing of all things; the sal trees’ blossoms tell how the mighty must fall.

And thou canst not stir a flower Without troubling of a star.

Build thee more stately mansions, O my soul, As the swift seasons roll! Leave thy low-vaulted past!

Everything changes; nothing perishes.

A harmony that turns back upon itself.

Order is the arrangement that assigns to things equal and unequal their proper places.

From six triangles, one equilateral triangle is formed.

The senses do not deceive; judgement deceives.

No eye could ever see the sun without becoming sunlike.

They would take nothing for truth but the shadows of manufactured things.

Every branch of a plant, every limb of an animal, every drop of its fluids is itself such a garden or pond.

Another reaction system in two dimensions gives rise to patterns reminiscent of dappling.

The river flows unceasingly, yet its water is never the same. Foam on the pools vanishes and forms, never staying long.

Scents, colours and sounds answer one another.

If atoms never swerved, all would fall like drops of rain through the deep void…

One must still have chaos within to give birth to a dancing star.

A one-sided surface is formed, bounded by a single line…

There are more prime numbers than any given multitude of primes.

A point can move continuously so that, in a finite time, it reaches every point of a region of the plane.

The eyes cannot know the nature of things.

Why do they not fall with five sides, or seven? Why always six?

This makes the theorem more beautiful and more concise…

Every point of a luminous body—the sun, a candle, a glowing coal—generates waves of which it is the centre.

Small differences in the initial conditions may produce very great differences in the final phenomena…

The same circle surrounds the dodecahedron’s pentagon and the icosahedron’s triangle when both solids are inscribed in one sphere.

Thirty spokes share one hub; it is the emptiness that makes the cart useful.

The unreal has no being; the real never ceases to be.

Turn it and turn it again, for everything is in it.

As a flexible chain hangs, so, inverted, a rigid arch will stand.

The lines MS, NO and PQ will be of the same order: this will be a third lemma.

The stone the builders rejected has become the cornerstone.

Suddenly Julien stopped speaking of Napoleon; he announced his plan to become a priest…

A mighty Maze! but not without a Plan;

Given any three points, lines or circles, draw a circle through each given point, if any, and tangent to each given line or circle.

A square and ten of its roots equal thirty-nine dirhams.

That point moves back and forth along the diameter of the larger circle through the initial point of contact.

The same tower appears round from afar and square from nearby.

They will always be seen together on the circumference of circles growing successively larger.

On the surface of a cylindroid, though doubly curved, infinitely many straight lines can be drawn.

Taking each in turn, he went as far as the root of seventeen; there, somehow, he stopped.

Like perspectives, which rightly gazed upon show nothing but confusion; eyed awry, distinguish form.

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.