There are 200 million insects for each of us. They are the most successful animal group ever. Their key is an armoured covering that takes on almost any shape. Darwin's stag beetle fights in the tree tops with huge curved jaws. The camera flies with millions of monarch butterflies which migrate 2000 miles, navigating by the sun. Super slow motion shows a bombardier beetle firing boiling liquid at enemies through a rotating nozzle. A honey bee army stings a raiding bear into submission. Grass cutter ants march like a Roman army, harvesting grass they cannot actually eat. They cultivate a fungus that breaks the grass down for them. Their giant colony is the closest thing in nature to the complexity of a human city.

Honey has the greatest cachet in the marketplace, of all food items. A sweetener so natural, so exalted, that its value has held up for millennia. But honey is also perfect for savvy profiteers who are secretly cutting the world's honey with cheap substitutes. With demand for honey soaring just as bees are dying off in record numbers, hidden additives, hive thefts and other shady tactics are on the rise.

Marcus du Sautoy uncovers the patterns that explain the shape of the world around us. Starting at the hexagonal columns of Northern Ireland's Giant's Causeway, he discovers the code underpinning the extraordinary order found in nature - from rock formations to honeycomb and from salt crystals to soap bubbles. Marcus also reveals the mysterious code that governs the apparent randomness of mountains, clouds and trees and explores how this not only could be the key to Jackson Pollock's success, but has also helped breathe life into hugely successful movie animations.

The very heart of Africa is covered in dense tropical rainforest. The animals that live here find the most ingenious ways to carve out their space in a claustrophobic landscape. Danger lurks in every shadow, but some animals thrive here, from honey-stealing chimps to birds with a lineage as old as the dinosaurs, thundering elephants and kick-boxing frogs. Here in the Congo, no matter how tough the competition, you must stand up and fight for yourself and your patch.

The honey badger looks like something you might buy in pet shop and give to children, but turns out to be one of the most violent and determined creatures ever to scuttle across the face of the earth. Nothing in the badger’s world-not even the badgers themselves-are safe from its remarkable ability to create havoc and cause harm. Like a meter long skunk with the brain of a shark the Honey Badger’s metabolism compels it to eat constantly and live on the run. Its diet is admirably inclusive ranging from insects to its own young. If an animal is too big to eat then the badger will fight it anyway, indeed it is this almost supernatural tenacity that compels you respect it, as well as yielding some of the most spectacular sequences in the film. Five foot long cobra sleeping in the top of tree? No problem, the badger scoots up and bites its head off. When an ailing badger is attacked by a full size leopard it takes the leopard over an hour to finish it off. When one is bitten in the face by a snake that can kill a man, it just lies down for a while and sleeps it off.

Grasslands feed the world. Over thousands of years, we humans have learned to grow grains on the grasslands and domesticate the creatures that live there. Our success has propelled our population to almost seven billion people. But this episode reveals that, even today, life in the 'Garden of Eden' isn't always rosy. We walk with the Dorobo people of Kenya as they bravely attempt to scare off a pride of hungry lions from their freshly caught kill. We gallop across the Steppe with extraordinary Mongolian horsemen who were 'born in the saddle'. And in a perfect partnership with nature built up over generations Maasai children must literally talk to the birds! The honeyguide leads them to find sweet treats, but they'll have to repay the favour.