The Impossible Prison, Galleries of Justice, Nottingham

31 October-14 December

Sixteen artists are "incarcerated" in cells in the Impossible Prison, where they reflect on the legacy of Michel Foucault's book, Discipline and Punishment.

Jean Muir: A Fashion Icon, National Museum of Scotland, Edinburgh

7 November-15 March

The exhibition covers elements of Muir's design, manufacturing and marketing processes, showcasing sketches, pattern pieces and fabric samples. It will also feature 30 finished garments and accessories by Muir, who was part of the British design revolution of the 1960s.

Designer Style: Home Decorating in the 1950s, Museum of Domestic Design & Architecture, Barnet

11 November-14 June

A wide range of wallpapers and textiles by well-known artists such as Lucienne Day, Cawthra Mulock, Graham Sutherland and Jacqueline Groag will be on show. These designers exploited new screen-printing techniques to produce more abstract wallpapers and textiles than had previously been possible.

Hidden Treasures - Sacred Textiles, Jewish Museum, London

12 November-15 March

The Torah mantles will be on public display for the first time, after years of conservation work. The collection includes silks, brocades and goldwork embroidery, with several of the mantles featuring personal inscriptions. They will be on show at the Bevis Marks Synagogue in the City of London, which is the oldest synagogue in continuous use in Britain.

Galvanize Sheffield

14 November-14 December

This second month-long festival celebrates the tradition and skills of a city built on the metalwork industry. It will feature 50 exhibitions, events and commissions at more than 30 venues, including factories, galleries, a hotel and a cathedral.

Darwin, Natural History Museum, London

14 November-19 April

The exhibition traces Charles Darwin's life-changing journey to the Galapagos Islands, which was the basis for his theory of evolution through natural selection. As well as Darwin's notebooks, photographs and letters, the exhibition features the fossils and zoological specimens he collected, and an exploration of modern evolutionary biology.

Under Scan, Trafalgar Square, London

15-23 November

The world's largest interactive public artwork, by Mexican-Canadian artist Rafael Lozano-Hemmer, will project animated video portraits into the shadow of people passing through a 2,000 sq metre area of light in front of the National Gallery.

Fig, Impressions Gallery, Bradford

21 November-18 January

Artists Adam Broomberg and Oliver Chanarin present their take on the Victorian "cabinet of curiosities". The exhibition features more than 80 photos, with subjects including fantastical objects from museum collections, such as a "merman" skeleton and the hand of the world's tallest living man.