Whale brains, flying robots and Cindy Sherman the selfie queen – the week in art

The Natural History Museum journeys to the bottom of the sea, Caravaggio dazzles in Edinburgh and Sherman reveals some distorted self portraits on her Instagram account – all in your weekly dispatch

Thames whale skull, from Whales: Beneath the Surface, at Natural History Museum. Photograph: NHM London

Exhibition of the Week

Whales: Beneath the Surface

This is a sublime scientific and imaginative journey to the bottom of the sea – or very nearly – showing how incredibly deep whales dive, letting their lungs collapse under the pressure before returning to the surface full of squid. Colossal bones, recorded whale sounds and a lucid account of their evolution, make for a haunting and informative encounter with some of the most astonishing animals on earth. Most fascinating of all is the comparison between an enormous whale brain and a human one. It will have you planning your own sequel to Moby-Dick.

Natural History Museum, London, until 28 February.

Also showing

+/- Human

A compelling display of curious and unpredictable flying robots that is both fun for all ages and thought-provoking. It feels like being in a Doctor Who episode.

Roundhouse, London, until 28 August.

Giacometti

Last few weeks to see this outstanding exhibition of one of the modern world’s greatest artists.

Tate Modern, London, until 10 September.

Beyond Caravaggio

If you are in Edinburgh, don’t miss this entrancing presentation of the genius of Caravaggio and the dazzling range of disciples he inspired, including the French visionary of candlelight Georges de La Tour.

Scottish National Gallery, Edinburgh, until 24 September.

Portraying a Nation

The acerbic imagination of Otto Dix plays off against the objective photographs of August Sander in a strange and shocking encounter with the last days of the Weimar Republic.

Tate Liverpool, Liverpool, until 15 October.

Masterpiece of the Week

A Seaport, by Claude, 1644. Photograph: the National Gallery

The surreal bronze light of this gleaming fantasy landscape shows why JMW Turner found Claude so inspiring. The last glow of the setting sun penetrates the atmosphere of this eerie Mediterranean scene with an aftershock of fire. It perfectly captures a certain kind of summer evening light – and makes it eternal. Shine on Claude, you crazy diamond.

National Gallery, London WC2N

Image of the week

Instagram self-portrait. Photograph: Cindy Sherman

Self-portrait, by Cindy Sherman

American photographer, film-maker and conceptual portraitist Cindy Sherman has revealed a distorted selfie-filled Instagram account. Read all about it.

What we learned this week

Vermeer was an authentic artistic genius – even if he did cheat

Jim Carrey’s art prooves Hollywood stars should avoid the canvas

Drawings found in a London antiques shop have been accredited to Giacometti

Australia’s indigenous artists are fighting back against fake artifacts

Major outdoor sculptures are being commissioned for the Battersea power station development

The chief of the V&A has apologised to a breastfeeding woman who asked to cover up

Photographer W Eugene Smith, who wanted to record everything

A painting of a jowly fellow has been identified as a lost self-portrait of Joseph Wright of Derby

Photographer Jack Latham ventured inside a burning forest to take the perfect shot

Master of urban illusion, Alex Chinneck, unveils his first permanent work and rips through a building in Hammersmith

Martin Roth, former V&A director, has died aged 62