Tate Modern at 15: still delivering the shock of the new

The Bankside museum has transformed modern art from an elite cult into mass entertainment, but is it time to get down to some proper studying?

Splurging £102.6m on Picasso’s Women of Algiers is simply insane

The record-breaking price paid for a late, ungreat work shows the foolishness of collectors infected by a dumb new buzz around the artist

Turner prize 2015: an end to the same-old same-old. Bring it on!

The jury of this year’s prize are doing what they should do – giving intriguing new art a platform. They’ve certainly piqued this critic’s curiosity

10 of the best European islands … that you’ve probably never heard of

Explore Europe’s lesser-known islands and enjoy a leisurely break where walking, watersports and doing nothing at all are the order of the day

One small step for Louis Vuitton as space age makes leap on to runway

Nicolas Ghesquière’s show taps into futuristic trend as architecture and locations that push boundaries are sought out by luxury brands

Rem Koolhaas crafts a spectacular ‘city of art’ for Prada in Milan

A new Roman Polanski film is being shown, Jeff Koons and Donald Judd artworks are strewn about, and Wes Anderson’s designed the kitsch cafe … in a scruffy industrial corner of Milan, Rem Koolhaas and Miuccia Prada have made a dazzling art space, so vast it’s practically a city. Oliver Wainwright is in awe