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“Don't confuse symmetry with balance.”
― Tom Robbins, Even Cowgirls Get the Blues

“No human face is exactly the same in its lines on each side, no leaf perfect in its lobes, no branch in its symmetry. All admit irregularity as they imply change; and to banish imperfection is to destroy expression, to check exertion, to paralyze vitality. All things are literally better, lovelier, and more beloved for the imperfections which have been divinely appointed, that the law of human life may be Effort, and the law of human judgment, Mercy.”
― John Ruskin

“Symmetry is what we see at a glance; based on the fact that there is no reason for any difference...”
― Blaise Pascal, ±Ê±ð²Ô²õé±ð²õ

“In it's purest form, an act of retribution provides symmetry. The rendering payment of crimes against the innocent. But a danger on retaliation lies on the furthering cycle of violence. Still, it's a risk that must be met; and the greater offense is to allow the guilty go unpunished.”
― Emily Thorne

“If everything in the universe evolves toward increasing disorder, it must have started out in an exquisitely ordered arrangement. This whole chain of logic, purporting to explain why you can't turn an omelet into an egg, apparently rests on a deep assumption about the very beginning of the universe. It was in a state of very low entropy, very high order. Why did our part of the universe pass though a period of such low entropy?”
― Sean Carroll, From Eternity to Here: The Quest for the Ultimate Theory of Time

“Even if a particle could travel backward in time, information could not. Retrocausality will be replaced by something more sophisticated. There are no perfect symmetries, there is no pure randomness everything is an approximation of something else. Information may appear in a digital form but meaning never does. Spacetime is built up from approximations, not discrete ones and zeros, and the only constant may be ratios. Quantum entanglement and geometry; if we think of a particle as being at one pole of an expanding sphere that is not perfectly symmetrical, this surface would be "rippling" like the surface of the ocean (in the audio world this is called dithering), at the other pole is the entangled particle's pair and it is a property of the sphere that gives the illusion of connectivity. This is not a physical geometry, it is a computational geometry. Is spacetime a product of entanglement? Renate Loll believes that time is not perfectly symmetrical. Her computer models require causality. Possibly some form of quantum random walk in state space. If a photon is emitted by an electron inside of a clock on Earth and it travels to a clock four light years away, time stops for the clock on Earth and time jumps forward eight years for the distant clock also, the electron that will capture the photon becomes infinitely large relative to the photon but the electron that emitted it does not become infinitely small therefore, time is not perfectly symmetrical.”
― Rick Delmonico

“We stood there for a few seconds where my father and I had spoken of Oliver once. Now he and I were speaking of my father. Tomorrow, I'll think back on this moment and let the ghosts of their absence maunder in the twilit hour of the day.”
― André Aciman, Call Me by Your Name

“Golden Ratio is a powerful mathematical constant woven into the very fabric of biology. It is the unique visual tension between comforting symmetry and compelling asymmetry, and its thoughtful application can bring beauty and harmony and intrigue to all manner of designed things.”
― Darrin Crescenzi

“The more complex the symmetry, the more constraints. Emergence relies on constraints.”
― R.A. Delmonico

“It is a pretty structure, isn’t it? It makes you think of something solid, stable, well linked. In fact it happens in chemistry as in architecture that ‘beautifulâ€� edifices, that is symmetrical and simple, are also the most sturdy: in short, the same thing happens with molecules as with the cupolas of cathedrals of the arches of bridges. And it is also possible that the explanation is neither remote nor metaphysical: to say ‘beautifulâ€� is to say ‘desirableâ€�, and ever since man has built he has wanted to build at the smallest expense and in the most durable fashion, and the aesthetic enjoyment he experiences when contemplating his work comes afterward. Certainly, it has not always been this way: there have been centuries in which ‘beautyâ€� was identified with adornment, the superimposed, the frills; but it is probable that they were deviant epochs and that the true beauty, in which every century recognises itself, is found in upright stones, shipsâ€� hulls, the blade of an axe, the wing of a plane.”
― Primo Levi, The Periodic Table

“There are no perfect symmetries, there is no pure randomness, we are in the gray region between truth and chaos.
Nothing novel or interesting happens unless it is on the border between order and chaos.”
― R.A. Delmonico

“To a physicist, beauty means symmetry and simplicity. If a theory is beautiful, this means it has a powerful symmetry that can explain a large body of data in the most compact, economical manner. More precisely, and equation is considered to be beautiful if it remains the same when we interchange its components among themselves.”
― Michio Kaku, Parallel Worlds: A Journey through Creation, Higher Dimensions, and the Future of the Cosmos

“The universe is driven by a very simple force â€� symmetry. The universe goes from perfect symmetry to broken symmetry and back to perfect symmetry again. It does this forever. We can put it in other terms: God becomes non-God (alienated from God) and then God again, following an immense, cosmic dialectical process through which he becomes conscious of who and what he is. We are all agents of God’s rediscovery. We are all becoming God.”
― Mike Hockney, Free Will and Will to Power

“Symmetry, as wide or as narrow as you may define its meaning, is one idea by which man through the ages has tried to comprehend and create or­der, beauty and perfection”
― Herman Weyl

“A good example of the archetypal ideas which the archetypes produce are natural numbers or integers. With the aid of the integers the shaping and ordering of our experiences becomes exact. Another example is mathematical group theory. ...important applications of group theory are symmetries which can be found in most different connections both in nature and among the 'artifacts' produced by human beings. Group theory also has important applications in mathematics and mathematical physics. For example, the theory of elementary particles and their interactions can in essential respects be reduced to abstract symmetries.
[The Message of the Atoms: Essays on Wolfgang Pauli and the Unspeakable]”
― K. V. Laurikainen

“No behavior has an infinite set of possibilities. Think of a lightning strike, although the state space is very high the bolt never make as a u-turn. The idea of infinities came from Feynman's thought experiment involving the twin slit measurement having an infinite number of slits. The probability distribution is not infinite, there are ratios involved.
If reality contains both infinity and unity, it is either a multifaceted jewel, or the singularity dancing. The fiddler is self referential noise.”
― Rick Delmonico

“But why are we attracted to symmetry?

Why do we human beings delight in seeing perfectly round planets through the lens of a telescope and six-sided snowflakes on a cold winter day?

The answer must be partly psychological.

I would claim that symmetry represents order, and we crave order in this strange universe we find ourselves in.

The search for symmetry, and the emotional pleasure we derive when we find it, must help us make sense of the the seasons and the reliability of friendships.

Symmetry is also economy.
Symmetry is simplicity.”
― Alan Lightman

“the architecture of our brains was born from the same trial and error, the same energy principles, the same pure mathematics that happen in flowers and jellyfish and Higgs particles.

Viewed in this way, our human aesthetic is necessarily the aesthetic of nature.

Viewed in this way, it is nonsensical to ask why we find nature beautiful.

Beauty and symmetry and minimum principles are not qualities we ascribe to the cosmos and then marvel at in their perfection.

They are simply what is, just like the particular arrangement of atoms that make up our minds.

We are not observers on the outside looking in. We are on the inside too.”
― Alan Lightman, The Accidental Universe: The World You Thought You Knew

“Conservation of thoughts are valid in classical, relativistic, and quantum theory. Symmetries and conservation of thoughts are the two fundamentals laws of ancient mantra systems.”
― Amit Ray, Mantra Design Fundamentals - Basics of mantra forms, structures, compositions, and formulas

“... it is about the distortions of symmetry and reciprocity in life: if you have the rewards, you must also get some of the risksâ€� not let others pay the price of your mistakes. If you inflict risk onto others and they are harmed, you need to pay some price for it.”
― Nassim Nicholas Taleb, Skin in the Game: The Hidden Asymmetries in Daily Life

“After sexual intercourse every animal is sad," he explained. "Don’t worry about it, Sophie. When the show’s over, you always feel empty. One second you’re energised like you’ve never been in your life, the next it’s all gone.”
― Mike Hockney, The Millionaires' Death Club

“It is 23.32 p.m. I still believe in symmetry, so this will be the last part. You've reached an end if you come back to where you started. I also remain superstitious about certain numbers. I use 23 and 32 for my lottery tickets, for example. It extends to dates. I still see signs.”
― Olivia Sudjic, Sympathy

“It is shown that the golden ratio plays a prominent role in the dimensions of all objects which exhibit five-fold symmetry. It is also showed that among the irrational numbers, the golden ratio is the most irrational and, as a result, has unique applications in number theory, search algorithms, the minimization of functions, network theory, the atomic structure of certain materials and the growth of biological organisms.”
― Richard A. Dunlap, GOLDEN RATIO AND FIBONACCI NUMBERS, THE

“The deep question is: Why does nature embody so much symmetry? We do not know the full answer to this question.

However, we have some partial answers. Symmetry leads to economy, and nature, like human beings, seems to prefer economy.

If we think of nature as a vast ongoing experiment, constantly trying out different possibilities of design, then those designs that cost the least energy or that require the fewest different parts to come together at the right time will take precedence, just as the principle of natural selection says that organisms with the best ability to survive will dominate over time.

One physical principle that governs nature over and over is the “energy principleâ€�: nature evolves to minimize energy.”
― Alan Lightman, The Accidental Universe: The World You Thought You Knew

“The pleasure of this kind of narrative is not that we think we are reading about the real world (although the story usually does map onto our world fairly closely), but rather that the wings of symmetry are unfolding around us; briefly we are on a planet where, as E.M. Forster says, there are no secrets and human behavior makes sense. I call this 'fiction.”
― Margot Livesey, The Hidden Machinery: Essays on Writing

“The arrow of time says that everything is moving from the highest possible symmetry to the most likely outcome.”
― R.A. Delmonico

“We are moving from a state of the highest possible symmetry, to the to a state of the most likely outcome. The highest possible symmetry is a perfect sphere of infinite dimensionality and the most likely outcome is the least amount of information.”
― R.A. Delmonico

“I remember my dad told me a story about a gifted composer. That story has haunted me ever since. At the age of 23, the young man wrote his first and last symphony. He knew it was a masterpiece. Nothing else he ever did would be as good. When he finished the final note, he got up from his seat. He looked in a mirror. He was a muscular, fit young man, very handsome. He took a razor and slit his throat. My dad said he couldn’t listen to that music without crying. In the Lazar House, Danny and I found ConX. At last we understood . When the supreme moment of your life has come, why go on? ConX is perfection. It delivers your once-in-a-lifetime moment â€� your death. Lacrimae rerum.”
― Adam Jefferson, The Jesus Drug: The Miracle Pill

“The first law is essentially based on the conservation of energy, the fact that energy can be neither created nor destroyed. Conservation laws—laws that state that a certain property does not change—have a very deep origin, which is one reason why scientists, and thermodynamicists in particular, get so excited when nothing happens. There is a celebrated theorem, Noether’s theorem, proposed by the German mathematician Emmy Noether (1882â€�1935), which states that to every conservation law there corresponds a symmetry. Thus, conservation laws are based on various aspects of the shape of the universe we inhabit. In the particular case of the conservation of energy, the symmetry is that of the shape of time. Energy is conserved because time is uniform: time flows steadily, it does not bunch up and run faster then spread out and run slowly. Time is a uniformly structured coordinate. If time were to bunch up and spread out, energy would not be conserved. Thus, the first law of thermodynamics is based on a very deep aspect of our universe and the early thermodynamicists were unwittingly probing its shape.”
― Peter Atkins, The Laws of Thermodynamics: A Very Short Introduction

“Symmetry is what we see at a glance; based on the fact that there is no reason for any difference, and based also on the face of man; whence it happens that symmetry is only wanted in breadth, not in height or depth.”
― Blaise Pascal, ±Ê±ð²Ô²õé±ð²õ