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What happens when you give water a really good shake? You might expect splashing, spilling and general aquatic chaos - but under exactly the right conditions, something much stranger can happen... In this episode, Hannah Fry and Dara Ó Briain dive into the world of 'Faraday waves': amazing geometric patterns that, in certain circumstances, will appear on the surface of a vibrating liquid. They discover how the renowned physicist Michael Faraday accidentally discovered this remarkable phenomenon in the 19th Century; debate whether they could ever occur in a swimming pool; and find out what on earth alligators have to do with it. Along the way, the pair encounter eerie ‘square’ seas and learn about new ways satellites are helping us to understand the ocean’s wildest waves!If you have an everyday mystery for the team to investigate, contact them on [email protected]: Cédric Beaume - Associate Professor in Applied Mathematics at the University of Leeds Lucy Bricheno - Group Head of Coastal Ocean at Liverpool’s National Oceanography Centre Glynn Holt - Former Professor of Mechanical Engineering at Boston UniversityProducer: Lucy Taylor Executive Producer: Sasha Feachem A BBC Studios Production

Ever wondered how close nature can get to making a human clone? And what happens if identical twin brothers marry identical twin sisters and have babies - how similar are they? Our listener Chris has been pondering this very issue, and his question takes Hannah and Dara down another scientific rabbit hole.Our intrepid duo consider how one fertilised egg can somehow become two babies, why those babies aren’t quite genetic photocopies, and why even identical twins gradually become more different as they grow up. They also find out how studying twins is helping scientists learn lessons about how all of us age - and explore the classic, movie-perpetuated mystery of “twin telepathy”… could there maybe, possibly, be something to it?! There’s also just time to address the tricky issue of cloning. From Dolly the sheep to regenerative medicine, cloning science has paved the way for some serious breakthroughs; but could we ever clone a human? And more to the point, should we?Expect sheep, sci-fi, identical cousins, and a dash of disproven twin mythology, as Curious Cases makes its return!If you have an everyday mystery for the team to investigate, contact them on [email protected]: Xand van Tulleken - Doctor, broadcaster and Honorary Associate Professor of Infection and Population Health at University College London Kevin Sinclair - Professor of Developmental Biology and Head of Animal Sciences at the University of Nottingham Claire Steves - Principal Investigator at TwinsUK and Professor of Ageing and Health at King’s College London Chris van Tulleken - Doctor, broadcaster and Professor of Infection and Global Health at University College LondonProducer: Lucy Taylor Executive Producer: Sasha Feachem A BBC Studios Production

Hannah Fry and Dara Ó Briain return for a new series, and a whole lot of new problems to solve!

One winter morning, listener Jane opened her curtains to find her car roof covered in breathtaking, fern-like frost so intricate it looked like a William Morris print. But how does something as ordinary as ice create patterns so beautifully complex?Hannah and Dara explore this crunchy, slippery, delicately patterned branch of chemistry to uncover the rules and mysteries that govern the extra-ordinary world of ice. Why does ice come in so many shapes and sizes? And does all ice form at 0 degrees Celsius? Is every snowflake truly unique? We have questions a plenty for our eager chemists, who, as all good chemists do, have a few demonstrations up their sleeves to help explain. And we explore nature’s hidden geometry to find why these frost ferns follow the same rules as lightning bolts, river deltas and even human lungs. You can send your everyday mysteries for the team to investigate to: [email protected] Sarah Hart – Professor Emerita of Mathematics, Birkbeck University of London Christoph Salzmann – Professor of Physical and Materials Chemistry, UCL Dr Thomas Whale – Lecturer, Institute for Climate and Atmospheric Science, University of LeedsProducer: Emily Bird Executive Producer: Sasha Feachem A BBC Studios Production

From pharaohs' tombs in Ancient Egypt and medieval currency, to priceless royal jewellery and Spandau Ballet songs - gold has been prized for millennia. But it's only really in the last century or so that we've started uncovering its usefulness in less decorative applications.Today, gold is used in masses of electricals; it's also revolutionised part of the manufacturing sector by stopping a dangerous reliance on mercury as a catalyst; and it's vital to space missions. Although there are also some more frivolous modern uses for gold, as Hannah and Dara discover. (Gold-leaf in your cocktail, anyone?)Challenged to find out whether all the world's mined gold would really fit in an Olympic swimming pool, our science-savvy duo discover that this antisocial element might just be the best darn thing on the periodic table... Contributors: - Graham Hutchings, Regius Professor of Chemistry at the University of Cardiff - Frances Wall, Professor of Applied Mineralogy in the Camborne School of Mines at the University of Exeter - Tim Peake, AstronautProducer: Lucy Taylor Executive Producer: Sasha Feachem A BBC Studios Production

What exactly is 'phantom pain' and how does it work? Hannah and Dara investigate a medical phenomenon that's been known about for centuries but is often misunderstood; and involves masses of unanswered questions.The condition 'phantom pain' is when someone gets a sensation of pain that feels like it's coming from a part of their body that's no longer there - so that could be an amputated limb, or perhaps something that has been removed, such as a tooth or an organ. It's thought to be caused by how the brain and body process pain and physical awareness, but there's still debate around what exactly is going on neurologically.Researchers around the world are looking into the condition; in the meantime, people who experience phantom pain - like today's studio guest Lynn - often have to try out a range of treatments, to find out what combination works best for them. But as the team discover, pain is deeply subjective - and in this case, there is really no 'right answer'...Contributors: - Tamar Makin, Professor of Cognitive Neuroscience at the MRC Cognition and Brain Sciences Unit at the University of Cambridge, where she leads the Plasticity Lab; - Lynn Williams, a qualified therapist and upper limb amputee who volunteered as a subject for one of Tamar’s research programmes; - Carlos Roldan, Associate Professor in the Department of Pain Medicine at the University of Texas MD Anderson Cancer Center; - Keren Fisher, a Consultant Clinical Psychologist who’s worked in the NHS for more than four decades; largely in pain management at the Royal National Orthopaedic Hospital.Producers: Emily Bird & Lucy Taylor Executive Producer: Alexandra FeachemA BBC Studios Audio Production

Tortoises have traditionally been the poster child for slowness. These ancient, armoured reptiles are solitary, territorial and all-too-often dismissed as dull.In fact, tortoises have distinct personalities. They have changeable moods, can learn simple tasks, remember certain useful information for years and even recognise familiar people. But can they play?Hot on the trail of tortoise tomfoolery, Hannah and Dara explore the stereotype-smashing studies that show there's far more to these creatures than previously thought; and find out that these complex behaviours might apply not only to the turtle clan, but potentially other reptiles as well...To submit your question to the Curious Cases team, please email: [email protected]: - Anna Wilkinson, Professor of Animal Cognition at the University of Lincoln - Unnar Karl Aevarsson, Herpetologist at ZSL London Zoo - Gordon Burghardt, Distinguished Service Professor in the Departments of Psychology, Ecology and Evolutionary Biology at the University of Tennessee Producer: Lucy Taylor Executive Producer: Alexandra Feachem A BBC Studios Production

Could you survive an eternal winter? Or is endless summer sun a more appealing prospect? Lots of us are grateful for the seasonal changes that shape the world around us, but this week Hannah and Dara are asking what life would look like without the axial tilt that brings each hemisphere closer and further away from the sun as the seasons change each year. Listener Andrew from Melbourne wants to know what would happen if the planet stood perfectly upright, no lean, no tilt, no seasons. But what else could happen? Is Earth’s 23-degree slant the cosmic fluke that made life possible? To find out, Hannah and explore how losing the tilt reshapes climate, ecosystems, evolution and maybe even the fate of the dinosaurs.You can send your everyday mysteries for the team to investigate to: [email protected] Contributors Dr Robin Smith - Climate modelling researcher at the University of Reading Professor Rebecca Kilner - Evolutionary Biologist and Head of the Department of Zoology at Cambridge Professor Amaury Triaud - Professor of Exoplanetology at the University of Birmingham Aidan McGivern - Meteorologist and Senior weather presenter at the MET OfficeProducer: Emily Bird Executive Producer: Sasha Feachem A BBC Studios Production

Could immortality ever be possible for humans? It sounds like something from a sci-fi movie, but floating in oceans around the world is a tiny, transparent jellyfish that could hold the answer...Turritopsis dohrnii, known as 'the immortal jellyfish', isn’t immortal in the true sense of word - it can die - but it has a nifty way of avoiding that fate. In times of stress, this miniscule jelly can biologically reverse its aging process, reverting from 'medusa' (adult jellyfish) to a juvenile form and starting its life-cycle again; potentially ad infinitum.Abilities like these could hold the key to - if not exactly 'immortality', then at least regenerative or long-life treatments for humans in future. But of course there's a catch: these extremely delicate jellyfish can still easily die from predation, disease, or environmental threats and are extremely difficult to keep healthy in a lab environment. Hannah and Dara hear about new technology that could change the way we study immortal jellyfish, and discover various other super-abilities in the animal kingdom that could help in our quest for healthier, longer lives.Contributors: - Miranda Lowe, Principal Curator of Crustacea and Cnidaria at London’s Natural History Museum - Alex Cagan, Assistant Professor in the Department of Genetics, Department of Pathology and Department of Vet Medicine at the University of Cambridge - Maria Pia Miglietta, Associate Professor of Marine Biology at Texas A&M University in Galveston - Nicole Xu, Assistant Professor of Mechanical Engineering, Robotics and Biomedical Engineering at the University of Colorado, BoulderProducer: Lucy Taylor Executive Producer: Sasha Feachem A BBC Studios Production

Space: the final frontier, a deep dark realm full of questions and mysteries - many of which science can't yet satisfactorily answer. But that won't stop the Curious Cases team!In a special edition recorded in front of an audience at the BBC Radio Theatre in London, Hannah Fry and Dara Ó Briain team up with a panel of guests who know their way around the universe: presenters from the world's longest running science TV show, The Sky At Night.With the intergalactic expertise of George Dransfield, Chris Lintott and Maggie Aderin-Pocock, Hannah and Dara tackle a slew of space-related questions put forward by the listeners - exploring topics ranging from the sound of stars and the shape of the universe, to the search for alien life. To submit your question to the Curious Cases team, please email: [email protected] AUDIO CLIPS:- Maggie's Choice: In 2005, the European Space Agency's Huygens probe descended to the surface of Saturn's moon Titan. Microphones aboard Huygens recorded the sounds of descent and landing, then The Planetary Society and scientists at the University of California helped ESA process the audio. CREDIT: European Space Agency (Huygens probe) / HASI-PWA Team (instrument and data) / The Planetary Society (processing)- George's Choice: The black hole at the centre of the Perseus galaxy cluster has been associated with sound for years, since astronomers discovered that pressure waves sent out by the black hole caused ripples in the cluster's hot gas that could be translated into a note. This new sonification was released for NASA's Black Hole Week in 2022. CREDIT: NASA- Chris's Choice: In 2023, the Planck space telescope picked up echoes left by soundwaves that travelled through the early Universe. This primordial hum was then translated into frequencies we can hear. CREDIT: NASAProducer: Lucy Taylor Executive Producer: Alexandra Feachem A BBC Studios Production