Though he has yet to make a perfect film, the director Tim Burton’s choice of Gothic and fantasy subjects and his deadpan, post-expressionist approach to them rightfully designate him an auteur of considerable genius. His 14 movies to date have earned him a cohesive retrospective at New York’s Museum of Modern Art.

A 15ft aardvark constructed from raw timber with a light-up robotic face and gigantic hands is climbing up one of the support pillars of the Westway, next to the body of a full-sized helicopter the front of which has been shaped into a grinning skull. Life-size rearing horse torsos made of white marble-like resin, with real horse skulls instead of heads, are mounted on the wheels of Victorian perambulators, while a man rides a clanking, hissing, fire-spitting motorised beast with stamping front legs and huge rear wheels around through the crowd as children caper about and their parents drink rum punch to the sound of militant 1970s funk. It's a bit livelier than White Cube, that's for sure.

Nottingham Contemporary is Britain’s newest art gallery. Built deep into a sandstone cliff in the city’s oldest site, its sturdy, squat exterior is clad in scalloped gold and pale green panels. Resembling your granny’s old net curtains, the green pre-cast concrete is moulded with a pattern of 19th-century lace, paying homage to the city’s Victorian traditional industry.

As questions go, "What is beauty?" is quite possibly only second to "What do women want?" in the frequency of its asking and in the difficulty of its answer. As the first programme in BBC Two and BBC Four’s Modern Beauty season, What Is Beauty? features Matthew Collings skirting around the edges of an answer and in doing so inadvertently hitting upon one.

“Photography is a refuge for failed painters,” declared the French poet, Charles Baudelaire around 1862. Yet photography took over a century to become a genuine family member of the art world. The British Library was slow to capitalise on the visitor value and historical significance of the vast photo-archive that it accumulated over the birth-period of this new artform. But its spectacular debut exhibition has burst open the vaults containing over 300,000 images, and now presents a magnificent production leading visitors on a journey back through time as the new art form was gradually building momentum.

West Coast pop art always was a poor relation to the world-beating New York original. Beside the Big Apple titans – Andy Warhol, Roy Lichtenstein and Claes Oldenburg – LA painters such as Ed Ruscha, Robert Irwin and John Altoon remained essentially local figures. Or that’s certainly the way it has looked from this side of the pond.

Does a winning photograph jump out at you? Sure, we can talk earnestly of composition, an interesting subject, a telling juxtaposition, or the abstract interplay of colour, texture and light. But perhaps more than any other visual art form, what strikes us most about a photographic image remains somehow more elusive. And the hand of the artist who presses the shutter, rather than wields the brush, is not so easily perceived.

By all accounts Eric Gill had a shocking private life. When it was revealed in Fiona MacCarthy’s biography, published 20 years ago, that he’d embarked on an adult incestuous relationship with not only both his of sisters but, later, with two of his teenage daughters (the family dog didn’t escape his attentions either), there were demands from some Catholic churchmen for the prompt removal of his carved stone altarpieces.