This is the story of three maps, three 'visions' of London over three centuries. The Morgan Map of 1682 was the first to show the whole of the City of London after the Great Fire of London. In 1746 John Rocque produced at the time the most detailed map ever made of London. Like Morgan's, Rocque's map is all neo-Classical beauty and clinical precision, but the London it represented had become the opposite. In engravings of the time, such as Night, the artist William Hogarth shows a city boiling with vice and corruption. Stephen Walter's contemporary image, The Island, plays with notions of cartographic order and respectability. His extraordinary London map looks at first glance to be just as precise and ordered as his hero Rocque's but, looking closer, it includes 21st century markings such as 'favourite kebab vans' and sites of 'personal heartbreak'.

The Dutch Golden Age saw map-making reach a fever pitch of creative and commercial ambition. This was the era of the first ever Atlases - elaborate, lavish and beautiful. This was the great age of discovery and marked an unprecedented opportunity for mapmakers who sought to record and categorise the newly acquired knowledge of the world. Rising above the many mapmakers in this period was Gerard Mercator, inventor of the Mercator projection, who changed mapmaking forever when he published his collection of world maps in 1598 and coined the term 'Atlas'. The programme looks at some of the largest and most elaborate maps ever produced, from the vast maps on the floor of the Royal Palace in Amsterdam, to the 24 volume atlas covering just the Netherlands, to the largest Atlas in the world, The Klencke Atlas. It was made for Charles II to mark his restoration in 1660. But whilst being one of the British Libraries most important items, it is also one of its most fragile so hardly ever opened. This is a unique opportunity to see inside this enormous and lavish work, and see the world through the eyes of a King.

The series concludes by delving into the world of satirical maps. How did maps take on a new form, not as geographical tools, but as devices for humour, satire or storytelling? Graphic Artist Fred Rose perfectly captured the public mood in 1880 with his General Election maps featuring Gladstone and Disraeli, using the maps to comment upon crucial election issues still familiar to us today. Technology was on the satirist's side with the advent of high-speed printing allowing for larger runs at lower cost. In 1877, when Rose produced his 'Serio Comic Map of Europe at War', maps began to take on a new direction and form, reflecting a changing world. Rose's map exploited these possibilities to the full using a combination of creatures and human figures to represent each European nation. The personification of Russia as a grotesque-looking octopus, extending its tentacles around the surrounding nations, perfectly symbolised the threat the country posed to its neighbours.

Our planet has amazing power, and yet that's rarely mentioned in our history books. This series tells the story of how the Earth has influenced human history, from the dawn of civilisation to the modern industrial age. It reveals how geology, geography and climate have been a far more powerful influence on the human story than has previously been acknowledged. A combination of epic story telling, visually stunning camerawork, extraordinary locations and passionate presenting combine to form a highly original version of human history" In the first episode professor Iain Stewart explores the relationship between the deep Earth and the development of human civilisation. He visits an extraordinary crystal cave in Mexico, drops down a hole in the Iranian desert and crawls through seven-thousand-year-old tunnels in Israel. His exploration reveals that throughout history, our ancestors were strangely drawn to fault lines, areas which connect the surface with the deep interior of the planet. These fault lines gave access to important resources, but also brought with them great danger.

There's something very odd going on in space - something that shouldn't be possible. It is as though vast swathes of the universe are being hoovered up by a vast and unseen celestial vacuum cleaner. Sasha Kaslinsky, the scientist who discovered the phenomenon, is understandably nervous: 'It left us quite unsettled and jittery' he says, 'because this is not something we planned to find'. The accidental discovery of what is ominously being called 'dark flow' not only has implications for the destinies of large numbers of galaxies - it also means that large numbers of scientists might have to find a new way of understanding the universe. Dark flow is the latest in a long line of phenomena that have threatened to rewrite the textbooks. Does it herald a new era of understanding, or does it simply mean that everything we know about the universe is wrong?

By our third year, most of us will have learned to count. Once we know how, it seems as if there would be nothing to stop us counting forever. But, while infinity might seem like an perfectly innocent idea, keep counting and you enter a paradoxical world where nothing is as it seems. Mathematicians have discovered there are infinitely many infinities, each one infinitely bigger than the last. And if the universe goes on forever, the consequences are even more bizarre. In an infinite universe, there are infinitely many copies of the Earth and infinitely many copies of you. Older than time, bigger than the universe and stranger than fiction. This is the story of infinity.