The round and the curtain are two of theatre’s oldest pieces of stagecraft.

Can Marcus du Sautoy do for maths what Brian Cox did for physics? Can he convince us of the beauty of numbers and help us fall in love with pi? It’s a tall order, but not only does Professor du Sautoy have an unstoppable passion for ratios, he’s also a natural communicator, which clearly helps if you’re the Simonyi Professor for the Public Understanding for Science, which he is. And so du Sautoy guided us through some basic mathematical principles which underpin the workings of the universe. He introduced us to The Code.

For so many days a year, Cheltenham's Regency symmetry and conservative values totter and buckle as they veer dangerously towards relative festive liberalism. As I sliced into one of the four annual beanfeasts, the Cheltenham Music Festival, it struck me how well lopsided, sometimes painful bendings of a classical framework by Schumann and Brahms sat with a battery of volatile percussion celebrating Steve Reich's 75th birthday. Even the adventure served up by trebles over in Norman and medieval Tewkesbury glimpsed a beast in the jungle.

When the Royal Shakespeare Company seemed to be falling apart in the late 1990s, there was genuine cause for concern. The troupe had no automatic monopoly over performances of Shakespeare, nor could it claim a very particular style in its stagings. But since the 1960s it had held a special place at the higher end of British theatre culture as the natural, and national, promoter and evolver of the world’s greatest body of plays. By 2001, under artistic director Adrian Noble, the RSC was out of London, in retreat in Stratford-upon-Avon, and looking punctured. It was an unhappy sight.

Albert Speer was Hitler’s most high-ranking war minister, but just how much was he complicit in Nazi atrocities? Thirty years after his death, and 16 after Gitta Sereny’s controversial biography, Albert Speer: His Battle with Truth, Speer remains a most enigmatic figure. Made in 2005 and now released on DVD, Speer and Hitler: The Devil’s Architect (dir: Heinrich Breloer; English subtitles) is an award-winning three-part docudrama that attempts to unravel that enigma.

Tamino and Pamina, in Mozart’s great masonic opera, go through fire and water, as well as trials spiritual and emotional, before achieving their sunlit triumph at the end of it all. They would have sympathy with Anthony Whitworth-Jones and his Garsington Opera team in what must have been quite as frightening a battle to locate, plan, design and build their new pavilion on the Getty estate at Wormsley, near Stokenchurch on the M40, within barely more than a year.

A town in desperate need of regeneration commissions David Chipperfield, the architect of the moment, to build an art gallery in the hope of attracting visitors with deep pockets. In case you are suffering an attack of déja vu, this is not an action replay of the opening of Turner Contemporary in Margate a month ago, but Wakefield’s turn to use the same tactics.

“Do you realise we’re talking about a rental apartment building? It’s unheard of,” says a friend. We’re standing on a street corner discussing the new Frank Gehry building in lower Manhattan. Most new apartment buildings here are concrete and glass, flat and dull, every apartment the same white box, not worth a conversation (I’ve lived in two). Gehry’s building is different. New-York-by-Gehry, as it’s grandiosely monikered, is at 8 Spruce Street near the Brooklyn Bridge, bordering the financial district. When you come out of the subway at City Hall, it shimmers above you. It’s big: 76 stories high, 870 feet tall. It contains 903 rental units and is the tallest residential tower in the western hemisphere.

The opening of Turner Contemporary is being heralded as one of the most important cultural events of the year. Described as "a national and international venue in the regions" the gallery, it is hoped, will attract visitors from London and abroad and transform Margate’s flagging fortunes by stimulating new businesses such as commercial galleries, as well as cafés, restaurants and bars.

The opening of Turner Contemporary is being heralded as one of the most important cultural events of the year. Described as "a national and international venue in the regions" the gallery, it is hoped, will attract visitors from London and abroad and transform Margate’s flagging fortunes by stimulating new businesses such as commercial galleries, as well as cafes, restaurants and bars.