Caley Johnson was a young anthropology student from New York City. Her graduate thesis was on nutrition of a rural population in Uganda, who lived almost entirely off natural foods. Her advisors suggested that it would be an interesting comparison to include in the study a population that ate not only natural foods but also some sugary and fatty processed foods. This is what brought Caley to Cape Town, where she and Stella met.

Caley's research approach involves watching individuals throughout an entire day and recording which foods they eat and how much of each. The foods are then analysed in a laboratory for their nutrient content to give a detailed daily record of the diet. But this study was radical in one respect: rather than follow several subjects, each on a separate day, the team had decided to study the diet of only one individual for 30 consecutive days. Caley therefore came to know Stella and her eating habits intimately.

What she saw was intriguing. Stella's diet was surprisingly diverse: she ate many foods, almost ninety different things over 30 days, and on each day, she ate different combinations of natural and processed foods. This suggested that Stella was not particularly discerning, indiscriminately eating whatever she fancied. The numbers from the nutrient laboratory appeared to tell the same story. The ratio of fats to carbohydrates in Stella's diet varied widely, as might be expected given the variety of foods that she ate and how these differed from one day to the next. Then Caley noticed something unexpected. When she totaled the combined calories from carbs and fats and plotted that figure on a graph against the amount of protein consumed, there was a tight relationship. This meant that the ratio of protein to fats and carbs - a very important measure of dietary balance-had remained absolutely consistent over the course of an entire month, regardless of what Stella had eaten. What's more, the ratio that Stella had eaten each day - one part protein to five parts fats and carbs combined - was the same combination that had been proven to be nutritionally balanced for a healthy female of Stella's size. Far from being indiscriminate, Stella was a meticulously precise eater who knew which dietary regimen was best for her and how to attain it.

But how did Stella track her diet so precisely? Caley knew the complexities of combining many foods into a balanced diet-even professional dietitians have to use computer programs to manage this. Could it be, she might have been forgiven for wondering, that Stella was secretly an expert in nutrition? Except that Stella was a baboon.

A confounding story, when you consider all the dietary advice we humans seem to require in order to eat properly (not that it does most of us a lot of good). Meanwhile, our wild cousin, the baboon, apparently has figured it all out by instinct. How could such a thing be so?

Before we begin to explore that question, here's another even weirder tale. It starts with a lab scientist named Audrey Dussutour at the University of Sydney. One day Audrey took her scalpel and started preparing an experiment by cutting a gooey blob of slime mold into small pieces. Beside her on the bench sat hundreds of Petri dishes, all set out neatly in rows.

Audrey picked up each fragment of yellow goo with forceps and carefully transferred it into the center of a dish then covered it with a lid. The dishes contained either small blocks of protein or carbohydrate, or a wheel of 11 tiny bits of jelly-like food medium varying in the ratio of protein to carbs. Once all dishes had received their bit of slime mold, Audrey stacked them in a large cardboard box and left them overnight. The next day, she opened the box. When she looked closely, she was astonished. Each bit of goo had changed overnight. When the slime molds were offered two blocks of food - one of protein, the other of carbs - the blobs extended their growing tendrils to both nutrients, reaching out in each direction to pull in a mix of the two. That mixture contained precisely two parts protein to one part carbs. Even more incredibly, when bits of goo were placed in dishes containing 11 different food blocks, the tendrils grew overnight from the centre of the dish to colonise only the blocks containing that same two-to-one nutrient mixture, ignoring the rest.

What is so special about a diet of two parts protein to one part carbs? The answer came when Audrey placed pieces of slime mold into dishes containing differing combinations of protein and carbohydrate. The next day, some bits of slime remained stunted, whereas others had grown dramatically, extending themselves across the dish in a lacy network of pulsing yellow filaments. When Audrey later mapped the growth of the blobs, it was as if she had charted the up and down contours of a mountain. Goo placed on a nutrient that was two parts protein to one part carbs sat at the summit of the growth mountain. As the proportion of protein fell and carbs rose, or vice versa, the blobs' growth decreased. In other words, when the bits of slime mold were given the chance to select their own diet, they chose precisely the mixture of nutrients needed to optimise healthy development.

Now, we may be able to accept that Stella the baboon can make some wise nutritional decisions. But how can a single-celled creature without organs or limbs, let alone a brain or a centralised nervous system, make such sophisticated dietary choices and then carry them out?

This puzzled us, too, so, we asked an expert.

Professor John Tyler-Bonner passed Steve a laboratory beaker filled with steaming coffee, freshly brewed on the naked blue Bunsen burner flame that hissed quietly on the teak benchtop. Steve sat discussing Audrey's results with this venerable guru of slime mold biology in John's office-a time capsule that has not been refurbished since 1947, when John first arrived on faculty at the Department of Ecology and Evolutionary Biology at Princeton University. He pioneered the study of slime molds, and his work has helped lay the foundation for the study of complex decision-making within distributed entities, such as bird flocks and fish schools, crowds of people, or global corporations.

John explained that each part of the blob senses its local nutritional environment and responds accordingly. As a result, the entire blob acts as if it is a single sentient being, seeking out optimal sources of food-a balanced diet that will ensure favorable health-and rejecting what does not serve that goal.

This, you may agree, is better than what is achieved by some other sentient beings we could name. And this, as you probably realise by now, has everything to do with the subject at hand.

Why have we, two entomologists, written a book about human diet, nutrition, and health, a subject on which quite a few experts have already weighed in (no pun intended)? We didn't start out meaning to do any such thing. Throughout our lives as scientists, and especially during the first two decades of our 32-year collaboration, we have studied insects in an attempt to solve one of nature's most enduring riddles: How do living things know what to eat?

Answer that and you've learned something very important - possibly even useful - about life itself. And not just for insects. But we're getting ahead of ourselves now. Better to start at the beginning.

"Everything should be made as simple as possible," Albert Einstein wrote, "but not simpler." This is the approach we've tried to take, throughout all our efforts, to understand nutrition.

The first step in our scientific journey, the big locust experiment, challenged an oversimplified view held by many - that animals have a single appetite that drives all of their intake. We learned that things are more complex than that; and to tame this complexity, we invented a new concept, a way of understanding why and how we eat, called Nutritional Geometry.

But what could geometry have to do with eating? We used it to explore and visualise the interrelationships among the appetites locusts have, each for a different nutrient. Ultimately, we were able to show that of all the appetites, that for protein has the strongest, but not the only, influence on intake. Locusts, we saw, try their best to get just the right amount of protein to support healthy development-neither too little nor too much.

That realisation provided one of the key insights of this book and one that has guided us ever since: the strong appetite for protein shared by all animals can lead them to eat too much or too little of other nutrients, including fats and carbs. If their protein appetite is not satisfied, they will overeat. Once they get enough protein, their appetites cease driving them to eat more.

That's as simple as we can make nutrition-without oversimplifying it.

This set us up to tackle the biggest challenge of all. Can this view help us understand why nutrition has gone so wrong in the most complex species of all - ourselves? Could the same principles that apply to locusts in little plastic boxes hold true for we humans with our infinite choices of what to eat and how much?

Yes, it turns out. We travelled from mountains to islands to deserts and cities and studied species from slime molds and monkeys to crickets and college students. Our nutrition, we discovered, is no more complicated than that of our fellow living things. We, too, have a strong appetite for protein that determines what and how much we eat.

But dramatic changes in our food environment, particularly the displacement of traditional whole-food diets with ultraprocessed foods, have imbalanced our diets, causing us to overeat all the wrong things. The current global health crisis of obesity, diabetes, and heart disease is the direct result of that transformation of our food supply.

We owe a debt of gratitude to those humble locusts who taught us to think differently about nutrition and diets and set us off on a lifelong journey to apply this approach to examining the natural world - and then to ourselves.

And what is the significance for you? We hope that the lessons we've learned can help steer you toward healthy and sensible eating choices.