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The fifth programme explores the alliances formed between the animal and plant worlds. Attenborough dives into Australia's Great Barrier Reef and contrasts the nocturnal feeding of coral, on microscopic creatures, with its daytime diet of algae. Some acacias are protected by ants, which will defend their refuge from any predator. Besides accommodation, the guards are rewarded with nectar and, from certain species, protein for their larvae as well. Fungi feed on plants but can also provide essential nutriment to saplings (Mycorrhiza). The connection is never broken throughout a tree's life and a quarter of the sugars and starches produced in its leaves is channelled back to its fungal partners. Meanwhile, fungi that feed on dead wood leave a hollow trunk, which also benefits the tree. Orchids enjoy a similar affiliation. Lichens are the product of a relationship between fungi and a photosynthetic associate, usually algae. They are extremely slow-growing, and a graveyard is the perfect location to discover their exact longevity. Mistletoe is a hemiparasite that obtains its moisture from a host tree, while using own leaves to manufacture food. Its seeds are deposited on another by the mistletoe tyrannulet, following digestion of the fruit. The dodder (Cuscuta) is also parasitic, generally favouring nettles, and siphons its nourishment through periodic 'plugs' along its stem. The rafflesia has no stem or leaves and only emerges from its host in order to bloom — and it produces the largest single flower: one metre across.

Andrew Graham-Dixon travels to Istanbul to immerse himself in the tumultuous world of the Byzantine Empire. He decodes the iconography of the art of the period and explains its continuing relevance.

The Queen of Sheba - an exotic and mysterious woman of power - is immortalised in the world's great religious works, among them the Hebrew Bible and the Muslim Koran. She also appears in Turkish and Persian painting, in Kabbalistic treatises, and in medieval Christian mystical works, where she is viewed as the embodiment of Divine Wisdom and a foreteller of the cult of the Holy Cross. In Africa and Arabia her tale is still told to this day and, indeed, her tale has been told and retold in many lands for nearly 3,000 years.

Marcus Du Sautoy wants to find out how close we are to creating machines that can think like us: robots or computers that have artificial intelligence. His journey takes him to a strange and bizarre world where AI is now taking shape. Marcus meets two robots who are developing their own private language, and attempts to communicate to them. He discovers how a super computer beat humans at one of the toughest quiz shows on the planet, Jeopardy". And finds out if machines can have creativity and intuition like us. Marcus is worried that if machines can think like us, then he will be out of business. But his conclusion is that AI machines may surprise us with their own distinct way of thinking.

The band are captured performing live on 23–24 September 2003 at the FleetCenter (now known as the TD Garden) in Boston, Massachusetts during the group's Say You Will Tour, before a specially invited audience of industry insiders and friends. Having sold an amazing amount of records, and gone through tumultuous personal problems that would have finished off most bands, Fleetwood Mac have created an enduring legacy for themselves.

Last in series about the Nazi concentration camp looks at the fate of the remaining prisoners and their guards. Uncovers how many survivors faced appalling treatment in their home countries and how many guards escaped justice.