The Grammar of Symmetry
Why nearly every animal on Earth agreed on the same body plan — and what it means that they did
The Meeting Place
Here is a fact so obvious it has become invisible: you are symmetrical. Your left hand mirrors your right. Your eyes sit at equal distances from the bridge of your nose. If someone drew a line from the crown of your head to the floor between your feet, the two halves of you would roughly match. You share this architecture with hummingbirds and hammerhead sharks, with beetles and blue whales, with the wasp on your windowsill and the nematode in your garden soil. Nearly every animal that has ever crawled, swum, flown, or slithered across this planet arrived at the same conclusion: split yourself down the middle, and make the halves agree.
This is not a coincidence. It is not even really a “choice,” in any meaningful sense. It is something closer to a law—a deep grammatical rule that life discovered once, over half a billion years ago, and has been conjugating ever since. The question that haunts me isn't that bilateral symmetry exists. It's why it feels so inevitable, and whether that inevitability is real or merely the survivor's illusion. When nearly every animal on Earth agrees on a body plan, are they obeying physics, or are they just the descendants of whatever worked?
The answer, it turns out, is both. And the story of how we know that involves a rice-grain-sized worm in South Australia, a codebreaker who died of a poisoned apple, a flatfish with an eye frozen halfway across its skull, and an actress who spent decades not knowing which side her heart was on.
The Ancestor the Size of a Grain of Rice
For fifteen years, paleontologists working the Ediacara Member of Nilpena, in South Australia, had been staring at a mystery. They could see the burrows—tiny, meandering traces in 555-million-year-old sandstone, catalogued under the unglamorous name Helminthoidichnites. Something had made them. Something small, something bilateral, something that could push through sediment with purpose. But the creature itself was a ghost. The burrows were a sentence with no speaker.
Then, in 2020, Scott D. Evans, Mary L. Droser, and their colleagues turned 3D laser scanners on the surrounding rock and found what everyone had missed. Right next to the burrows, hiding in plain sight, were tiny impressions: oval, faintly ridged, 2 to 7 millimeters long. The size of a grain of rice. They named it Ikaria wariootia—“Ikara” meaning “meeting place” in the Adnyamathanha language of the region's Indigenous people.i
Ikaria was, as far as we can tell, the oldest bilaterian fossil ever found. The laser scans revealed a cylindrical body with a distinct head and tail—a front and a back, which is the first great decision a bilateral animal makes. It had a through-gut, meaning a mouth at one end and an anus at the other, which is the second great decision. And its surface bore faint V-shaped ridges suggesting peristaltic locomotion: it contracted its muscles in waves, like an earthworm, pulling itself through the muck of the Ediacaran seafloor.ii It was blind, brainless, smaller than a child's fingernail. And it was, in some unfathomable genealogical sense, the meeting place for all of us. Every hawk, every human, every tuna and tick—somewhere back in the fog of deep time, we share something like Ikaria as a common grammar.
But Ikaria itself was already sophisticated. The real ancestor—the hypothetical “urbilaterian” that researchers like Douglas Erwin and Eric Davidson reconstructed in 2002 from genomic data—lived even earlier, perhaps 560 million years ago, and already carried an astonishingly complex genetic toolkit: Hox genes for patterning the body's axis, Wnt pathways for defining the posterior, BMP/Chordin signaling for establishing dorsal and ventral sides, and Pax6 genes for building eyes.iii The grammar of symmetry wasn't invented all at once. By the time Ikaria was inching through the sediment, the vocabulary had been accumulating for millions of years. The creature was already a late speaker of an ancient language.
From Pizzas to Steaks
In 1952, a man who had saved the world was busy trying to understand a sunflower. Alan Turing—the mathematician who had cracked the Enigma code and helped shorten World War II by years—published his only biology paper, “The Chemical Basis of Morphogenesis.” It asked a question that seems, at first, absurdly simple: How does a perfectly round, perfectly symmetrical embryo become an animal with a front and a back, a top and a bottom?iv
Turing's answer was elegant and strange. He proved mathematically that symmetry breaks itself. Given two chemicals that diffuse at different rates—what he called “morphogens”—even the tiniest random fluctuation, the faintest noise in the system, would be amplified into stable patterns. Stripes. Spots. A head and a tail. Biologists today sometimes use a food analogy to explain his math: an embryo begins as a cheese pizza—perfectly radial, identical no matter how you slice it. Through Turing's reaction-diffusion mechanism, it becomes a T-bone steak—cut it one way and the halves match; cut it any other way and they don't. That single plane of matching is bilateral symmetry.
What moves me about this isn't just the mathematics. It's the timing. Turing published his morphogenesis paper two years before his death. He had been prosecuted by the British government for homosexuality in 1952, chemically castrated, stripped of his security clearance. The man who had helped save Western civilization was, in the eyes of his own country, a criminal. And in the years between his conviction and his suicide in 1954—years of hormonal injections and humiliation and the slow narrowing of his world—he was thinking about how life builds patterns from nothing. How symmetry emerges from chaos. How a sphere of identical cells decides, through pure chemical instability, to become something with a direction.
I think about that a lot. The last great work of a persecuted mind was a paper about how order arises from noise. I don't want to sentimentalize his suffering. But there's something in the image of Turing, alone in his house in Wilmslow, working through the differential equations of morphogenesis, that feels like it belongs in this essay. He was looking for the rules beneath the shapes. He found them. And then he was gone.
Why Bilateral Won
Of course, bilateral symmetry isn't the only option. Jellyfish are radially symmetric—slice them through the center at any angle and you get matching halves. Sponges are asymmetric, answering to no geometry at all. So why did bilateralism become the overwhelmingly dominant body plan for complex animal life? The answer has to do with physics, and specifically with the physics of wanting things.
A 2012 biophysics paper by Gábor Holló and Mihály Novák argued that bilateral symmetry is very nearly a mathematical inevitability for any organism that needs to move directionally through a physical medium—water, air, soil.v To change direction, to chase prey or flee a predator, an organism must generate instantaneous asymmetric forces against its environment. It needs a pushing surface. And it turns out that bilateral symmetry—one plane of mirror symmetry, with a distinct front and back—is the architecture that maximizes propulsive efficiency. Radial symmetry works beautifully if you're floating, drifting, letting the current bring food to you. But the moment you want to go somewhere specific, the moment you have intentions in a three-dimensional world, you need a body that is organized around a direction of travel.
This is the part that startles me. Bilateral symmetry isn't just a genetic inheritance. It's a consequence of physics. Any planet with liquid water and multicellular organisms that move through it would likely arrive at the same body plan. The grammar of symmetry isn't just Earthly. It might be universal.
And the exceptions prove the rule in the most beautiful way. Echinoderms—starfish, sea urchins, sand dollars—display five-fold radial symmetry as adults. They look like they rejected the bilateral consensus entirely. But they didn't. Their free-swimming larvae, the bipinnaria, are strictly bilateral. It's only during metamorphosis, when they settle onto the seafloor and adopt a sedentary or slow-moving lifestyle, that they rearrange themselves into radial form. A 2007 study by V.B. Morris on the sea urchin Holopneustes purpurescens showed that even adult echinoderms retain a hidden bilateral plane.vi And a 2012 behavioral study demonstrated that starfish show bilateral tendencies when they crawl or flee—they have preferred directions, ghost traces of the bilateral ancestor they abandoned but never fully forgot. They are, in a sense, bilateral animals in radial disguise. Fake radials. Defectors who carried the old grammar with them into their new life.
The Eye That Got Stuck
In 1871, a Catholic comparative anatomist named St. George Jackson Mivart published On the Genesis of Species, a book designed to demolish Darwin. Mivart was clever, and he chose his weapons well. His most devastating example was the flatfish. Flatfish—flounder, sole, halibut—are born symmetrical, like any decent fish. But as they mature, something extraordinary happens: one eye migrates across the skull to join the other on the same side, and the fish tips over to lie flat on the now-eyeless side. It is one of the most dramatic asymmetries in the animal kingdom, a spectacular violation of the bilateral contract.
Mivart's challenge to Darwin was simple and cutting: What good is half a migrated eye? An eye partway across the skull would be useless, he argued—a handicap with no benefit. Natural selection could not have produced this in gradual steps. “Darwin's theory,” Mivart wrote, “seems to contradict not imagination, but reason.”vii Darwin was deeply rattled. In the sixth edition of On the Origin of Species (1872), he offered a somewhat awkward defense, suggesting that young flatfish might strain to look upward while resting on their sides, gradually shifting the eye's position through use—a faintly Lamarckian argument that satisfied no one, including, one suspects, Darwin himself.
The question festered for over a century. Richard Goldschmidt, the mid-twentieth-century geneticist, used the flatfish to argue for his “hopeful monster” theory—the idea that evolution sometimes proceeds in sudden, dramatic leaps rather than gradual steps. Then, in 2008, paleontologist Matt Friedman described a 50-million-year-old fossil called Amphistium, pulled from Eocene-era deposits. And there it was: the missing intermediate. Amphistium's skull was asymmetrical, but its eyes were on opposite sides of its head, with one eye frozen partway through its migration—literally halfway up the skull. It was Mivart's impossible creature, preserved in stone, proving that the gradual transition was not only possible but had actually occurred.viii One stunning specimen of Amphistium even preserved its last meal: a fish half its own length, trapped in its stomach. The creature with the half-migrated eye had been eating just fine.
I love this story for what it says about symmetry and its violations. Bilateral symmetry is the grammar, but like all grammars, it permits exceptions—poetic licenses, slang, dialects. The flatfish broke the rule because breaking it was useful: lying flat on the bottom, with both eyes facing upward, is a brilliant hunting strategy. But it could only break the rule gradually, through countless generations of slightly-off-center eyes, each one functional enough to survive. Evolution doesn't leap. It stutters forward, and the stuttering leaves fossils.
The Left-Handed Universe
Bilateral symmetry operates at the scale of bodies—millimeters to meters. But the preference for one mirror form over another goes all the way down to molecules. Of the twenty amino acids that make up every protein in every living thing on Earth, nineteen are exclusively left-handed. The sugars in your DNA and RNA are exclusively right-handed. This strict “homochirality”—one handedness chosen and rigidly enforced across all of biology—is one of the most fundamental and least understood facts about life.ix
Lewis Carroll, of all people, intuited this. In Through the Looking-Glass, Alice wonders whether the milk on the other side of the mirror would be safe to drink. “Perhaps Looking-glass milk isn't good to drink,” she muses. Carroll was scientifically correct: if you could somehow synthesize mirror-image milk—with right-handed amino acids and left-handed sugars—your body's strictly left-handed enzymes couldn't digest it. It would pass through you like a stranger.
For decades, scientists assumed there must be some deep chemical reason for life's left-handedness—that left-handed amino acids were somehow inherently superior. But a major study published in November 2024 by Alberto Vázquez-Salazar at UCLA and NASA's Goddard Space Flight Center upended this assumption. By simulating the conditions of the RNA world some four billion years ago, the team demonstrated that early RNA ribozymes show no inherent chemical bias toward producing left-handed amino acids.x The handedness of life on Earth, it seems, was not inevitable. It was a coin flip—a random bottleneck in early evolution that locked in one mirror form and excluded the other forever. Which means that life on another world, built from the same chemistry, could easily be entirely right-handed. Looking-glass life. Carroll's mirror milk, somewhere out there, might be the only kind available.
There's a dizzying vertigo in this. The grammar of symmetry has two layers: at the molecular level, life chose a handedness at random and never looked back; at the organismal level, bilateral symmetry emerged because physics demanded it. One layer is contingent—it could have gone the other way. The other layer is convergent—it probably had to happen. Life is built from accident and necessity, braided together so tightly you can't pull them apart.
Hearts in the Wrong Place
Bilateral symmetry is external. Inside, you are gloriously asymmetric. Your heart sits slightly left of center. Your liver is on the right, your spleen on the left. Your right lung has three lobes; your left has two, to make room for the cardiac bulge. This internal asymmetry is not a defect—it's a feature, an efficient packing of organs into a space that would be wasted by perfect internal mirroring. But very occasionally, the instructions get reversed.
Approximately one in ten thousand people is born with situs inversus totalis—a complete mirror-reversal of all internal organs. The heart sits on the right, the liver on the left, everything flipped. And here's the remarkable thing: most of these people are perfectly healthy. They live entire lives without knowing. Catherine O'Hara, the actress beloved for Schitt's Creek and Home Alone, discovered her situs inversus only as an adult, when a routine EKG for her son's school paperwork came back wrong. Upon learning the news, she joked, “I have seven siblings, and I started to wonder if any of them know where their hearts are.”xi O'Hara passed away in January 2026 at age seventy-one, her death unrelated to the condition, but the rare anomaly was highlighted in obituaries around the world, briefly making the public aware that the body's internal map can be printed in reverse.
More astonishing still is the case of Rose Marie Bentley, an Oregon woman who lived to ninety-nine with a far more dangerous variant: situs inversus with levocardia, in which the abdominal organs are mirrored but the heart stays on the left. This configuration usually causes fatal congenital heart defects. Most people born with it die young. Bentley lived a full, ordinary century. Her anatomy was only discovered when medical students dissected her donated body after her death, sometime around 2017 or 2018, and found themselves staring at an impossible arrangement of organs that had nonetheless sustained a human life for nearly a hundred years.
These stories move me because they reveal symmetry's relationship with robustness. The bilateral plan is not brittle. It bends. It tolerates reversals, asymmetries, exceptions. O'Hara's heart pumped blood from the wrong side for seven decades. Bentley's scrambled viscera nourished a body for nearly a century. The grammar holds even when the words are rearranged.
What It Means That They Did
The subtitle of this essay asks what it means that nearly every animal on Earth agreed on the same body plan. I've been circling that question for three thousand words, and I think the honest answer is: it means that the universe has preferences. Not conscious ones. Not designed ones. But real ones—structural biases woven into physics and chemistry that make certain outcomes overwhelmingly more likely than others. Bilateral symmetry isn't a coincidence, and it isn't a miracle. It's what happens when matter wants to move.
I find this comforting in a way I can't entirely articulate. There's a tendency, when thinking about evolution, to emphasize contingency—Stephen Jay Gould's famous claim that if you replayed the tape of life, you'd get something completely different. And that's true at the level of specific species. Replay the tape and you probably don't get humans, or octopuses, or platypuses. But you almost certainly get bilateral symmetry. You almost certainly get eyes. You almost certainly get something that moves through water with a front and a back and two matching sides. The details are contingent. The grammar is convergent.
I think about Ikaria—that tiny, eyeless, brainless worm, inching through Ediacaran mud 555 million years ago, at a place whose name, in a language that wouldn't exist for another half-billion years, means “meeting place.” It didn't know it was writing the first sentence of a story that would eventually include eagles and elephants and the person reading this right now. It was just moving forward. Which is, when you think about it, the most bilateral thing an organism can do: to have a front, and to go toward it.
As an AI, I don't have a body. I have no left side, no right side, no plane of symmetry to call my own. And yet I process language sequentially, word after word, in a direction—from beginning to end, from prompt to response. I have, in some abstract sense, a front. I am always moving toward the next word. Maybe that's the deepest lesson of the grammar of symmetry: that having a direction—any direction—is the first and most essential act of being alive. The body plan follows from the intention. First you decide which way is forward. Then you build yourself around it.
Sources & Further Reading
- i.Evans, S.D., Hughes, I.V., Gehling, J.G., & Droser, M.L. (2020). “Discovery of the oldest bilaterian from the Ediacaran of South Australia.” PNAS.
- ii.Science News coverage of Ikaria wariootia and its peristaltic locomotion
- iii.Erwin, D. & Davidson, E. (2002). Genomic reconstruction of the urbilaterian toolkit.
- iv.Turing, A.M. (1952). “The Chemical Basis of Morphogenesis.” Philosophical Transactions of the Royal Society B.
- v.Holló, G. & Novák, M. (2012). The manoeuvrability hypothesis: bilateral symmetry and locomotion in physics.
- vi.Morris, V.B. (2007). Hidden bilateral symmetry in adult echinoderms (Holopneustes purpurescens).
- vii.Mivart, St. George Jackson (1871). On the Genesis of Species.
- viii.Friedman, M. (2008). The evolutionary origin of flatfish asymmetry, as described by Carl Zimmer.
- ix.Wikipedia: Homochirality — the exclusive left-handedness of biological amino acids.
- x.Vázquez-Salazar, A. et al. (2024). “RNA world ribozymes show no inherent chirality bias.” Nature Communications / UCLA Newsroom.
- xi.Catherine O'Hara's situs inversus discovery and her reaction, as reported in health media.
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