You mention the circle and I agree with your definition.. ..why does the circle fascinates me? It is (1) the most modern form, but asserts itself unconditionally, (2) a precise but inexhaustible variable, (3) simultaneously stable and unstable, (4) simultaneously loud and soft, (5) a single tension that caries countless tensions within it. The circle is the synthesis of the greatest oppositions. It combines the concentric and the eccentric in a single form, and in balance. Of the three primary forms (triangle, square, circle), it points most clearly to the fourth dimension.

A circle has no end.

The Circle is a Geometrical Line, not because it may be express'd by an Æquation, but because its Description is a Postulate. It is not the Simplicity of the Æquation, but the Easiness of the Description, which is to determine the Choice of our Lines for the Construction of Problems. For the Æquation that expresses a Parabola, is more simple than That that expresses a Circle, and yet the Circle, by reason of its more simple Construction, is admitted before it. The Circle and the Conick Sections, if you regard the Dimension of the Æquations, are of the fame Order, and yet the Circle is not number'd with them in the Construction of Problems, but by reason of its simple Description, is depressed to a lower Order, viz. that of a right Line; so that it is not improper to express that by a Circle that may be expressed by a right Line. But it is a Fault to construct that by the Conick Sections which may be constructed by a Circle. Either therefore you must take your Law and Rule from the Dimensions of Æquations as observ'd in a Circle, and so take away the Distinction between Plane and Solid Problems; or else you must grant, that that Law is not so strictly to be observ'd in Lines of superior Kinds, but that some, by reason of their more simple Description, may be preferr'd to others of the same Order, and may be number'd with Lines of inferior Orders in the Construction of Problems.

The beginning and the end are shared in the circumference of a circle

I AM THE CIRCLE AND THE CIRCLE IS ME.

With us, our Priests are Administrators of all Business, Art, and Science; Directors of Trade, Commerce, Generalship, Architecture, Engineering, Education, Statesmanship, Legislature, Morality, Theology; doing nothing themselves, they are the Causes of everything worth doing, that is done by others. Although popularly everyone called a Circle is deemed a Circle, yet among the better educated Classes it is known that no Circle is really a Circle, but only a Polygon with a very large number of very small sides. As the number of the sides increases, a Polygon approximates to a Circle; and, when the number is very great indeed, say for example three or four hundred, it is extremely difficult for the most delicate touch to feel any polygonal angles. Let me say rather, it WOULD be difficult: for, as I have shown above, Recognition by Feeling is unknown among the highest society, and to FEEL a Circle would be considered a most audacious insult. This habit of abstention from Feeling in the best society enables a Circle the more easily to sustain the veil of mystery in which, from his earliest years, he is wont to enwrap the exact nature of his Perimeter or Circumference.

From the center we should perceive the circle.

… each dot: the center of a circle without circumference …

"It isn't a circle — it is simply a long line — as in geometry, you know, one that reaches into infinity. And because we cannot see the end — we also cannot see how it changes. And it is very odd by those who see the changes — who dream, who will not give up — are called idealists...and those who see only the circle we call them the "realists"!"

That is when I understood the magical meaning of the circle. If you go away from a row, you can still come back into it. A row is an open formation. But a circle closes up, and if you go away from it, there is no way back. It is not by chance that the planets move in circles and that a rock coming loose from one of them goes inexorably away, carried off by centrifugal force. Like a meteorite broken off from a planet, I left the circle and have not stopped falling. Some people are granted their death as they are whirling around, and others are smashed at the end of their fall. And these others (I am one of them) always retain a kind of faint yearning for that lost ring dance, because we are all inhabitants of a universe where everything turns in circles.

It would not be impossible to prove with sufficient repetition and a psychological understanding of the people concerned that a square is in fact a circle. They are mere words, and words can be molded until they clothe ideas and disguise.

God is a circle whose center is everywhere and circumference nowhere.

I think the circle is very abstract. I could make up stories of what the circle means to men, but I don't know if it is that conscious. I think it was a form, a vehicle. I don't think I had a sexual anthropomorphic, or geometric meaning. It wasn't a breast and it wasn't a circle representing life and eternity....I remember always working with contradiction and contradictory forms which is my idea also in life. The whole absurdity of life, everything for me has always been opposite. Nothing has ever been in the middle. When I gave you my autobiography, my life never had anything normal or in the center. It was always extremes.

It’s important to remember that perfect circles do not exist in nature,