During their lifetime, Kahlo was known mostly for being the beautiful wife of the renowned Mexican muralist Rivera. Today, of course, Rivera is internationally known – as the husband of the iconic Kahlo. Above, Kahlo's Self-portrait with Monkeys, 1943. At Irish Museum of Modern Art until 26 June Photograph: Gerardo Suter
In addition to paintings by Kahlo and Rivera, this exhibition includes photographs of the artists. Above, Nickolas Muray's Frida with Magenta Rebozo, 1939.
At Irish Museum of Modern Art until 26 June Photograph: Nickolas Muray Photo Archives
This blockbuster show of sculpture by the Barcelona artist is perfect for the Yorkshire Sculpture Park, highly accessible in its figurative intrigue and charming in its aesthetic allure. Above, Plensa's Twins I and II, 2009.
At Yorkshire Sculpture Park until 25 September Photograph: Gasull Fotografia/Courtesy of YSP
This retrospective shakes up popular impressions of Miró, offsetting iconic canvases with the socially engaged side of the Catalan artist who lived through the dictatorships of Miguel Primo de Rivera and Franco. Above, Miró's May 68, 1968-1973.
At Tate Modern, SE1, Thurs to 11 September
Photograph: Jaume Blassi/Successió Miró/DACS, Adagp, Paris 2011
Collaborative duo Philip Duckworth and Ben Sadler have established a distinctive DIY approach to making art that embraces new technology and delights in its occasional malfunctions. Above, Turing Test, 2011.
At Ceri Hand Gallery until 21 May Photograph: PR
Kihlberg and Henry's latest video installation, After Image, explores the history of Portsea Island, which was once home to 30 picture houses.
At Aspex, Sunday to 26 June Photograph: PR
The banal surface of the designed world is Matthew Darbyshire's quarry. His works draw attention to illusions of choice, democratic design and culture's infantalising tendency. These offset new work by Scott King – quotes on canvas riff on overblown ideals, with hilarious, absurdist results. Above, King's Let's Talk About Me (Paradise), 2005. At Herald Street Gallery, E2, Sat to 15 May
Photograph: Courtesy the artist and Herald St, London
This year's competition pitches work by three high-concept, fine art photographers against socially engaged documentary. Of the four snappers up for the £30,000 prize, US artist Roe Ethridge explores subjectivity in images using seemingly random constellations of commercial photography, landscapes or portraits. Above, Ethridge's Thanksgiving 1984, 2009. At Ambika P3, NW1, to 1 May
Photograph: Roe Ethridge/Courtesy of Greengrassi London/Andrew Kreps Gallery, New York
This installation of Toby Ziegler's sculptures, The Alienation of Objects, adapted from work commissioned by London's Zabludowicz Collection, has the ghostly formal presence of a graveyard of half-forgotten cultural histories.
At the New Art Gallery until 18 June
Photograph: Stephen White/Zabludowicz Collection/Simon Lee Gallery, London, and Max Hetzler, Berlin
