• The fantastical world of celebrated film-maker Tim Burton is on display in a touring exhibition opening at the Design Museum on Friday. The World of Tim Burton, making its final stop after a decade-long world tour, showcases his 50 years of creative output and looks at not only his role as film-maker but as illustrator, painter, photographer and author. Drawn from Tim Burton’s personal archive as well as film studio collections and other private holdings, the more than 600 objects include film props, drawings, paintings, photographs, sketchbooks, moving-image works, sculptural installations, set and costume design. Highlights include the Catwoman suit from 1992’s Batman Returns, Wednesday Addams’ viral Rave’N dance dress from the recent Netflix series and the Edward Scissorhands costume worn by actor Johnny Depp in the 1990 film. There’s also early drawings of the Martians from Mars Attacks! (1996), the Mad Hatter from Alice in Wonderland (2010), and Emily in Tim Burton’s Corpse Bride (2005) and a specially created cinema experience which gives voice to some of Burton’s key collaborators and is being shown in a bespoke art-deco space reminiscent of the theatres Burton frequented as a child growing up in Hollywood. Runs until 21st April. Admission charge applies. For more, see https://designmuseum.org/exhibitions/the-world-of-tim-burton.

• Hampton Court Palace and the Tower of London are marking Halloween with a series of spine-tingling events which delve into the mysterious past of the royal residences. From Saturday, visitors to Hampton Court Palace can, among other things, discover the ‘Alchemist’s Apothecary’ and meet the ghost of a long-departed alchemist, venture into the ‘Spider’s Lair’ in the depths of the palace’s wine cellar, catch a glimpse the frantic ghost of Catherine Howard in the Haunted Gallery, and encounter the spirit of Sybil Penn, a former nurse to Henry VIII’s son Edward, who has haunted the palace hallways ever since her tomb was disturbed. At the the Tower of London, meanwhile, the grounds have been transformed, hosting everything from a haunted chess game on the South Lawn to a glimpse into the tower’s astronomical past, complete with celestial maps and scientific instruments. Events take place until 3rd November. Admission charge applies. For more, see www.hrp.org.uk/hampton-court-palace/ or www.hrp.org.uk/tower-of-london/.

• The first Halloween-themed light trail has opened at Kew Gardens with eerie illuminated trees, ghoulish installations and fire performers. Visitors can wander through an illuminated spiders web or discover a neon Carnivorous Tree feeding on unsuspecting skeletons by choosing one of three sessions to attend (daylight, twilight and moonlight) with things getting scarier as the evening progresses. Runs until 3rd November. Admission charge applies. For more, see www.kew.org/kew-gardens/whats-on/halloween-at-kew.

• Diwali is being celebrated on Trafalgar Square this Sunday in a free, family-friendly festival. Delivered in partnership with the volunteer-led Diwali in London committee, the event – which showcases the culture of London’s Hindu, Sikh and Jain communities – features a programme of dance, music, activities and food. Highlights include dance workshops, sari and turban tying and the new Bhajan singing space where groups will perform throughout the day. The day runs from 1pm to 7pm. For more, see www.london.gov.uk/events/diwali-square-2024.

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